GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems

Authors:
Youcef Saad;Martin H Schultz
Affiliations:
-;-
Venue:
SIAM Journal on Scientific and Statistical Computing
Year:
1986

Citing 0
Cited 665

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Journal of Computational and Applied Mathematics
CGMN Revisited: Robust and Efficient Solution of Stiff Linear Systems Derived from Elliptic Partial Differential Equations

ACM Transactions on Mathematical Software (TOMS)
A methodology for the development of discrete adjoint solvers using automatic differentiation tools

International Journal of Computational Fluid Dynamics
Block preconditioning for saddle point systems with indefinite (1, 1) block

International Journal of Computer Mathematics - Fast Iterative and Preconditioning Methods for Linear and Non-Linear Systems
Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics

International Journal of Computer Mathematics - Fast Iterative and Preconditioning Methods for Linear and Non-Linear Systems
Preconditioning and convergence in the right norm

International Journal of Computer Mathematics - Fast Iterative and Preconditioning Methods for Linear and Non-Linear Systems
A domain decomposition solver for acoustic scattering by elastic objects in layered media

Journal of Computational Physics
Implicit adaptive mesh refinement for 2D reduced resistive magnetohydrodynamics

Journal of Computational Physics
Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning

Journal of Computational Physics
Parallel FEM Software for CFD Problems

Informatica
Preconditioner updates applied to CFD model problems

Applied Numerical Mathematics
Neural Networks for Predicting the Behavior of Preconditioned Iterative Solvers

ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
On Using Reinforcement Learning to Solve Sparse Linear Systems

ICCS '08 Proceedings of the 8th international conference on Computational Science, Part I
Multiscale Models of Quantum Dot Based Nanomaterials and Nanodevices for Solar Cells

ICCS '08 Proceedings of the 8th international conference on Computational Science, Part II
Dirichlet degrees of freedom need not be eliminated

Applied Numerical Mathematics
Simulation of directional solidification, thermochemical convection, and chimney formation in a Hele-Shaw cell

Journal of Computational Physics
Preconditioning indefinite systems in interior point methods for large scale linear optimisation

Optimization Methods & Software
Constraint Schur complement preconditioners for nonsymmetric saddle point problems

Applied Numerical Mathematics
Adaptive solution of the master equation in low dimensions

Applied Numerical Mathematics
A Standard and Software for Numerical Metadata

ACM Transactions on Mathematical Software (TOMS)
Fast nonnegative matrix factorization algorithms using projected gradient approaches for large-scale problems

Computational Intelligence and Neuroscience - Advances in Nonnegative Matrix and Tensor Factorization
Enablers for robust POD models

Journal of Computational Physics
Accurate numerical models for simulation of radiation events in nano-scale semiconductor devices

Mathematics and Computers in Simulation
Grid Computing: A Case Study in Hybrid GMRES Method

NPC '08 Proceedings of the IFIP International Conference on Network and Parallel Computing
A damping preconditioner for time-harmonic wave equations in fluid and elastic material

Journal of Computational Physics
A fast technique applied to the analysis of Resistive Wall Modes with 3D conducting structures

Journal of Computational Physics
FGMRES preconditioning by symmetric/skew-symmetric decomposition of generalized stokes problems

Mathematics and Computers in Simulation
An efficient flexible-order model for 3D nonlinear water waves

Journal of Computational Physics
Deformation of elastic particles in viscous shear flow

Journal of Computational Physics
Comparing Some Methods and Preconditioners for Hydropower Plant Flow Simulations

High Performance Computing for Computational Science - VECPAR 2008
Faster convergence and higher accuracy for the Dirichlet-Neumann map

Journal of Computational Physics
A two-directional Arnoldi process and its application to parametric model order reduction

Journal of Computational and Applied Mathematics
Numerical study on incomplete orthogonal factorization preconditioners

Journal of Computational and Applied Mathematics
The design and use of a sparse direct solver for skew symmetric matrices

Journal of Computational and Applied Mathematics
An extension of the conjugate residual method to nonsymmetric linear systems

Journal of Computational and Applied Mathematics
Preconditioned GMRES methods with incomplete Givens orthogonalization method for large sparse least-squares problems

Journal of Computational and Applied Mathematics
Frequency-aware PPV: a robust phase macromodel for accurate oscillator noise analysis

Proceedings of the 2008 IEEE/ACM International Conference on Computer-Aided Design
On some new approximate factorization methods for block tridiagonal matrices suitable for vector and parallel processors

Mathematics and Computers in Simulation
Incremental unknowns method based on the θ-scheme for time-dependent convection-diffusion equations

Mathematics and Computers in Simulation
Direct and iterative solution of the generalized Dirichlet-Neumann map for elliptic PDEs on square domains

Journal of Computational and Applied Mathematics
Simultaneous solution of large-scale linear systems and eigenvalue problems with a parallel GMRES method

Journal of Computational and Applied Mathematics
On choosing a nonlinear initial iterate for solving the 2-D 3-T heat conduction equations

Journal of Computational Physics
A Jacobian-free Newton-Krylov algorithm for compressible turbulent fluid flows

Journal of Computational Physics
Parallel finite element computation of incompressible flows

Parallel Computing
A Performance Comparison of the Parallel Preconditioners for Iterative Methods for Large Sparse Linear Systems Arising from Partial Differential Equations on Structured Grids

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Preconditioning methods for discontinuous Galerkin solutions of the Navier-Stokes equations

Journal of Computational Physics
An Efficient Newton-Krylov Implementation of the Constrained Runs Scheme for Initializing on a Slow Manifold

Journal of Scientific Computing
Comments on the GMRES Convergence for Preconditioned Systems

Large-Scale Scientific Computing
Open source BEM library

Advances in Engineering Software
An arbitrary Lagrangian-Eulerian formulation for the numerical simulation of flow patterns generated by the hydromedusa Aequorea victoria

Journal of Computational Physics
A high-order boundary integral method for surface diffusions on elastically stressed axisymmetric rods

Journal of Computational Physics
Non-Iterative nonlinear model predictive approach applied to the control of helicopters' group formation

Robotics and Autonomous Systems
A simple strategy for varying the restart parameter in GMRES(m)

Journal of Computational and Applied Mathematics
Solution-limited time stepping to enhance reliability in CFD applications

Journal of Computational Physics
An iterated Radau method for time-dependent PDEs

Journal of Computational and Applied Mathematics
Two-level compact implicit schemes for three-dimensional parabolic problems

Computers & Mathematics with Applications
A multiple flux boundary element method applied to the description of surface water waves

Journal of Computational Physics
Segmentation, Classification and Denoising of a Time Series Field by a Variational Method

Journal of Mathematical Imaging and Vision
Speeding Up PEEC partial inductance computations using a QR-based algorithm

IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Solving Sparse Linear Systems on NVIDIA Tesla GPUs

ICCS '09 Proceedings of the 9th International Conference on Computational Science: Part I
Semi-implicit Krylov deferred correction methods for ordinary differential equations

AMATH'09 Proceedings of the 15th american conference on Applied mathematics
Lanczos-type variants of the COCR method for complex nonsymmetric linear systems

Journal of Computational Physics
Electromagnetic integral equations requiring small numbers of Krylov-subspace iterations

Journal of Computational Physics
Level-set, penalization and cartesian meshes: A paradigm for inverse problems and optimal design

Journal of Computational Physics
Order reduction of bilinear MIMO dynamical systems using new block Krylov subspaces

Computers & Mathematics with Applications
Preconditioning techniques for a mixed Stokes/Darcy model in porous media applications

Journal of Computational and Applied Mathematics
Two new nonlinear nonlocal diffusions for noise reduction

Journal of Mathematical Imaging and Vision
Strong scaling analysis of a parallel, unstructured, implicit solver and the influence of the operating system interference

Scientific Programming
Modified incomplete orthogonal factorization methods using Givens rotations

Computing
Multigrid algorithms for high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations

Journal of Computational Physics
An immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries

Journal of Computational Physics
Newton-conjugate-gradient methods for solitary wave computations

Journal of Computational Physics
An implicit immersed boundary method for three-dimensional fluid-membrane interactions

Journal of Computational Physics
Accuracy preserving limiter for the high-order accurate solution of the Euler equations

Journal of Computational Physics
Integral equation methods for elliptic problems with boundary conditions of mixed type

Journal of Computational Physics
An approximate block Newton method for coupled iterations of nonlinear solvers: Theory and conjugate heat transfer applications

Journal of Computational Physics
A new method for accelerating Arnoldi algorithms for large scale eigenproblems

Mathematics and Computers in Simulation
Inferring semantic concepts from community-contributed images and noisy tags

MM '09 Proceedings of the 17th ACM international conference on Multimedia
On physics-based preconditioning of the Navier-Stokes equations

Journal of Computational Physics
Invertible smoothing preconditioners for linear discrete ill-posed problems

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
Iterative solvers for coupled fluid--solid scattering

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
Restarted block-GMRES with deflation of eigenvalues

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
High fidelity field simulations using density and pressure based approaches

Applied Numerical Mathematics - Applied scientific computing: Recent approaches to grid generation, approximation and numerical modelling
Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation

Applied Numerical Mathematics
Adaptive grid refinement for a model of two confined and interacting atoms

Applied Numerical Mathematics - Adaptive methods for partial differential equations and large-scale computation
A Study of Viscous Flux Formulations for a p-Multigrid Spectral Volume Navier Stokes Solver

Journal of Scientific Computing
Dynamics of multicomponent vesicles in a viscous fluid

Journal of Computational Physics
Finite element form of FDV for widely varying flowfields

Journal of Computational Physics
Minimizing communication in sparse matrix solvers

Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis
Scalable implicit finite element solver for massively parallel processing with demonstration to 160K cores

Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis
Skew-symmetric form of convective terms and fully conservative finite difference schemes for variable density low-Mach number flows

Journal of Computational Physics
Harmonic-balance algorithms for the circuit-level nonlinear analysis of UWB receivers in the presence of interfering signals

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
A filter diagonalization for generalized eigenvalue problems based on the Sakurai-Sugiura projection method

Journal of Computational and Applied Mathematics
A preconditioned Krylov technique for global hydrodynamic stability analysis of large-scale compressible flows

Journal of Computational Physics
A numerical algorithm for the solution of a phase-field model of polycrystalline materials

Journal of Computational Physics
Determination of a good value of the time step and preconditioned Krylov subspace methods for the Navier-Stokes equations

Computers & Mathematics with Applications
The loss of orthogonality in the Gram-Schmidt orthogonalization process

Computers & Mathematics with Applications
A hybrid GMRES/LS-arnoldi method to accelerate the parallel solution of linear systems

Computers & Mathematics with Applications
Fluid-structure interaction in blood flows on geometries based on medical imaging

Computers and Structures
Fast multipole method applied to elastostatic BEM-FEM coupling

Computers and Structures
New implementation of QMR-type algorithms

Computers and Structures
Consistent unconfined contaminated disposal facilities dike tidal flow and transport model

Environmental Modelling & Software
Enhanced TABS-MDS model for simulating large-scale free surface flows

Environmental Modelling & Software
Monotone Schwarz iterates for a semilinear parabolic convection-diffusion problem

Journal of Computational and Applied Mathematics
Convergence of nonstationary multisplitting methods using ILU factorizations

Journal of Computational and Applied Mathematics
Pitfalls in fast numerical solvers for fractional differential equations

Journal of Computational and Applied Mathematics
Bounds on the eigenvalue range and on the field of values of non-Hermitian and indefinite finite element matrices

Journal of Computational and Applied Mathematics
Optimized interface conditions in domain decomposition methods for problems with extreme contrasts in the coefficients

Journal of Computational and Applied Mathematics
Influence of Preconditioning and Blocking on Accuracy in Solving Markovian Models

International Journal of Applied Mathematics and Computer Science
On mutual impact of numerical linear algebra and large-scale optimization with focus on interior point methods

Computational Optimization and Applications
Improving the numerical convergence of viscous-plastic sea ice models with the Jacobian-free Newton-Krylov method

Journal of Computational Physics
Performance of partitioned procedures in fluid-structure interaction

Computers and Structures
On the use of flux limiters in the discrete ordinates method for 3D radiation calculations in absorbing and scattering media

Journal of Computational Physics
A spectral boundary integral method for flowing blood cells

Journal of Computational Physics
A hybrid multilevel method for high-order discretization of the Euler equations on unstructured meshes

Journal of Computational Physics
Block triangular Schur complement preconditioners for saddle point problems and application to the Oseen equations

Applied Numerical Mathematics
A variable preconditioned GCR(m) method using the GSOR method for singular and rectangular linear systems

Journal of Computational and Applied Mathematics
Accelerating an inexact Newton/GMRES scheme by subspace decomposition

Applied Numerical Mathematics
Preconditioning Helmholtz linear systems

Applied Numerical Mathematics
Distributed solution of high-order compact difference schemes for multidimensional convection-diffusion equations

ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartIII
Preconditionning techniques for the solution of the Helmholtz equation by the finite element method

ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartII
An augmented Lanczos algorithm for the efficient computation of a dot-product of a function of a large sparse symmetric matrix

ICCS'03 Proceedings of the 2003 international conference on Computational science: PartIII
Toward memory-efficient linear solvers

VECPAR'02 Proceedings of the 5th international conference on High performance computing for computational science
A parallel Newton-GMRES algorithm for solving large scale nonlinear systems

VECPAR'02 Proceedings of the 5th international conference on High performance computing for computational science
BiCR variants of the hybrid BiCG methods for solving linear systems with nonsymmetric matrices

Journal of Computational and Applied Mathematics
On block-circulant preconditioners for high-order compact approximations of convection-diffusion problems

Journal of Computational and Applied Mathematics
A fast parallel Poisson solver on irregular domains applied to beam dynamics simulations

Journal of Computational Physics
Temporally coherent video matting

Graphical Models
Arnoldi versus GMRES for computing pageRank: A theoretical contribution to google's pageRank problem

ACM Transactions on Information Systems (TOIS)
ADI spectral collocation methods for parabolic problems

Journal of Computational Physics
Improving the performance of tensor matrix vector multiplication in cumulative reaction probability based quantum chemistry codes

HiPC'08 Proceedings of the 15th international conference on High performance computing
On the use of incomplete LU decomposition as a preconditioning technique for density fitting in electronic structure computations

ICCSA'07 Proceedings of the 2007 international conference on Computational science and its applications - Volume Part I
An implicit high-order spectral difference approach for large eddy simulation

Journal of Computational Physics
Using sensitivity derivatives for design and parameter estimation in an atmospheric plasma discharge simulation

Journal of Computational Physics
Modified HSS iteration methods for a class of complex symmetric linear systems

Computing
Comparison study of performance of parallel steady state solver on different computer architectures

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
FSSA: fast steady-state algorithm for the analysis of mixed analog/digital circuits

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
A FEM-BEM fast methodology for 3D frictional contact problems

Computers and Structures
An alternating preconditioner for saddle point problems

Journal of Computational and Applied Mathematics
Row scaling as a preconditioner for some nonsymmetric linear systems with discontinuous coefficients

Journal of Computational and Applied Mathematics
Adjacency-based data reordering algorithm for acceleration of finite element computations

Scientific Programming
A robust periodic arnoldi shooting algorithm for efficient analysis of large-scale RF/MM ICs

Proceedings of the 47th Design Automation Conference
CARP-CG: A robust and efficient parallel solver for linear systems, applied to strongly convection dominated PDEs

Parallel Computing
Efficient simulation of surface tension-dominated flows through enhanced interface geometry interrogation

Journal of Computational Physics
A Schur complement formulation for solving free-boundary, Stefan problems of phase change

Journal of Computational Physics
A comparison of high-order time integrators for thermal convection in rotating spherical shells

Journal of Computational Physics
A User's Guide to Solving Dynamic Stochastic Games Using the Homotopy Method

Operations Research
The fast multipole method and Fourier convolution for the solution of acoustic scattering on regular volumetric grids

Journal of Computational Physics
A comparative study of iterative solutions to linear systems arising in quantum mechanics

Journal of Computational Physics
Preconditioning bandgap eigenvalue problems in three-dimensional photonic crystals simulations

Journal of Computational Physics
Matrix compression for spherical harmonics expansions of the Boltzmann transport equation for semiconductors

Journal of Computational Physics
Multilevel finite difference methods for the characterization of substrate coupling in deep sub-micron designs

SBCCI'99 Proceedings of the XIIth conference on Integrated circuits and systems design
Improving the parallel performance of a domain decomposition preconditioning technique in the Jacobi-Davidson method for large scale eigenvalue problems

Applied Numerical Mathematics
Parallel solution of Mixed Finite Element/Spectral Element systems for convection-diffusion equations on non-matching grids

Applied Numerical Mathematics
Fast unsteady flow computations with a Jacobian-free Newton-Krylov algorithm

Journal of Computational Physics
Block Householder computation of sparse matrix singular values

SpringSim '10 Proceedings of the 2010 Spring Simulation Multiconference
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations

Applied Numerical Mathematics
Fast integral equation methods for the modified Helmholtz equation

Journal of Computational Physics
A full Eulerian finite difference approach for solving fluid-structure coupling problems

Journal of Computational Physics
Low complexity equalization for doubly selective channels modeled by a basis expansion

IEEE Transactions on Signal Processing
Improved small-signal analysis for circuits working in periodic steady state

IEEE Transactions on Circuits and Systems Part I: Regular Papers
Finite element computations on cluster of PC's and workstations

EURO-PDP'00 Proceedings of the 8th Euromicro conference on Parallel and distributed processing
Stein implicit Runge-Kutta methods with high stage order for large-scale ordinary differential equations

Applied Numerical Mathematics
A parallel implementation of Chebyshev preconditioned conjugate gradient method

ISPDC'03 Proceedings of the Second international conference on Parallel and distributed computing
Shift-Invert Arnoldi's Method with Preconditioned Iterative Solves

SIAM Journal on Matrix Analysis and Applications
Image annotation by kNN-sparse graph-based label propagation over noisily tagged web images

ACM Transactions on Intelligent Systems and Technology (TIST)
The effective conductivity of random checkerboards

Journal of Computational Physics
Applying a second-kind boundary integral equation for surface tractions in Stokes flow

Journal of Computational Physics
An iterative multiscale finite volume algorithm converging to the exact solution

Journal of Computational Physics
Evaluation of the performance of inexact GMRES

Journal of Computational and Applied Mathematics
Milestones in the development of iterative solution methods

Journal on Image and Video Processing - Special issue on iterative signal processing in communications
A structured parallel periodic arnoldi shooting algorithm for RF-PSS analysis based on GPU platforms

Proceedings of the 16th Asia and South Pacific Design Automation Conference
Wavelet based ILU preconditioners for the numerical solution by PUFEM of high frequency elastic wave scattering

Journal of Computational Physics
From Linear to Nonlinear Large Scale Systems

SIAM Journal on Matrix Analysis and Applications
Approximate Nullspace Iterations for KKT Systems

SIAM Journal on Matrix Analysis and Applications
A Modified Nonlinear Inexact Uzawa Algorithm with a Variable Relaxation Parameter for the Stabilized Saddle Point Problem

SIAM Journal on Matrix Analysis and Applications
On the Similarities Between the Quasi-Newton Inverse Least Squares Method and GMRes

SIAM Journal on Numerical Analysis
An Analysis of Equivalent Operator Preconditioning for Equation-Free Newton-Krylov Methods

SIAM Journal on Numerical Analysis
Multilevel Algorithms for Large-Scale Interior Point Methods

SIAM Journal on Scientific Computing
Deflated and Restarted Symmetric Lanczos Methods for Eigenvalues and Linear Equations with Multiple Right-Hand Sides

SIAM Journal on Scientific Computing
The Cycle-Convergence of Restarted GMRES for Normal Matrices Is Sublinear

SIAM Journal on Scientific Computing
An Efficient Numerical Method for the Solution of the $L_2$ Optimal Mass Transfer Problem

SIAM Journal on Scientific Computing
Marker Redistancing/Level Set Method for High-Fidelity Implicit Interface Tracking

SIAM Journal on Scientific Computing
Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromodynamics

SIAM Journal on Scientific Computing
The Iterative Solver RISOLV with Application to the Exterior Helmholtz Problem

SIAM Journal on Scientific Computing
Adaptive Techniques for Improving the Performance of Incomplete Factorization Preconditioning

SIAM Journal on Scientific Computing
A Preconditioner for the Finite Element Approximation to the Arbitrary Lagrangian-Eulerian Navier-Stokes Equations

SIAM Journal on Scientific Computing
Wavelet Galerkin Schemes for Multidimensional Anisotropic Integrodifferential Operators

SIAM Journal on Scientific Computing
Adaptive Timestep Control for Nonstationary Solutions of the Euler Equations

SIAM Journal on Scientific Computing
A Simplified and Flexible Variant of GCROT for Solving Nonsymmetric Linear Systems

SIAM Journal on Scientific Computing
Flexible GMRES with Deflated Restarting

SIAM Journal on Scientific Computing
Simulating Biochemical Signaling Networks in Complex Moving Geometries

SIAM Journal on Scientific Computing
Reduced-rank approximations to the far-field transform in the gridded fast multipole method

Journal of Computational Physics
A fast semi-implicit method for anisotropic diffusion

Journal of Computational Physics
Efficient numerical methods for multiple surfactant-coated bubbles in a two-dimensional stokes flow

Journal of Computational Physics
Fast integral equation methods for Rothe's method applied to the isotropic heat equation

Computers & Mathematics with Applications
Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models

Journal of Computational Physics
A mesh-free convex approximation scheme for Kohn-Sham density functional theory

Journal of Computational Physics
Numerical solution of electromagnetic scattering from a large partly covered cavity

Journal of Computational and Applied Mathematics
A finite volume implicit time integration method for solving the equations of ideal magnetohydrodynamics for the hyperbolic divergence cleaning approach

Journal of Computational Physics
Parallel monotone domain decomposition algorithms for nonlinear singularly perturbed reaction-diffusion problems of parabolic type

Neural, Parallel & Scientific Computations
GMRES with adaptively deflated restarting and its performance on an electromagnetic cavity problem

Applied Numerical Mathematics
Simulation of Markovian models using bootstrap method

Proceedings of the 2010 Summer Computer Simulation Conference
Performance evaluation of a kitting process

ASMTA'11 Proceedings of the 18th international conference on Analytical and stochastic modeling techniques and applications
A fast solver for nonlocal electrostatic theory in biomolecular science and engineering

Proceedings of the 48th Design Automation Conference
A composite preconditioner for the electromagnetic scattering from a large cavity

Journal of Computational Physics
Implementation of sparse matrix algorithms in an advection-diffusion-chemistry module

Journal of Computational and Applied Mathematics
Implementation of the Jacobian-free Newton-Krylov method for solving the first-order ice sheet momentum balance

Journal of Computational Physics
Greville's method for preconditioning least squares problems

Advances in Computational Mathematics
A preconditioning technique for a class of PDE-constrained optimization problems

Advances in Computational Mathematics
Top-level acceleration of adaptive algebraic multilevel methods for steady-state solution to Markov chains

Advances in Computational Mathematics
Stabilized space---time computation of wind-turbine rotor aerodynamics

Computational Mechanics
Multiscale space---time fluid---structure interaction techniques

Computational Mechanics
LLM and X-FEM based interface modeling of fluid---thin structure interactions on a non-interface-fitted mesh

Computational Mechanics
Space---time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters

Computational Mechanics
Petrov-Galerkin and discontinuous-Galerkin methods for time-domain and frequency-domain electromagnetic simulations

Journal of Computational Physics
The effect of shocks on second order sensitivities for the quasi-one-dimensional Euler equations

Journal of Computational Physics
Automatic performance optimization in ViennaCL for GPUs

Proceedings of the 9th Workshop on Parallel/High-Performance Object-Oriented Scientific Computing
A parallel subdomain by subdomain implementation of the implicitly restarted Arnoldi/Lanczos method

Computational Mechanics
Parallel GMRES implementation for solving sparse linear systems on GPU clusters

Proceedings of the 19th High Performance Computing Symposia
Algorithm 913: An elegant IDR(s) variant that efficiently exploits biorthogonality properties

ACM Transactions on Mathematical Software (TOMS)
A variant of the IDR(s) method with the quasi-minimal residual strategy

Journal of Computational and Applied Mathematics
Numerical solutions to integral equations equivalent to differential equations with fractional time

International Journal of Applied Mathematics and Computer Science
On finite difference approximation of a matrix-vector product in the Jacobian-free Newton-Krylov method

Journal of Computational and Applied Mathematics
Automatic image annotation with weakly labeled dataset

MM '11 Proceedings of the 19th ACM international conference on Multimedia
On the progressive iteration approximation property and alternative iterations

Computer Aided Geometric Design
On the impact of triangle shapes for boundary layer problems using high-order finite element discretization

Journal of Computational Physics
On the global Krylov subspace methods for solving general coupled matrix equations

Computers & Mathematics with Applications
Adaptive numerical algorithms in space weather modeling

Journal of Computational Physics
Real-Time Nonlinear Optimization as a Generalized Equation

SIAM Journal on Control and Optimization
An Augmented Stability Result for the Lanczos Hermitian Matrix Tridiagonalization Process

SIAM Journal on Matrix Analysis and Applications
GMRES Methods for Least Squares Problems

SIAM Journal on Matrix Analysis and Applications
Riemannian Newton Method for the Multivariate Eigenvalue Problem

SIAM Journal on Matrix Analysis and Applications
Numerical Implementation of Streaming Down the Gradient: Application to Fluid Modeling of Cosmic Rays and Saturated Conduction

SIAM Journal on Scientific Computing
A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves

SIAM Journal on Scientific Computing
On Matrix-Free Computation of 2D Unstable Manifolds

SIAM Journal on Scientific Computing
A Simple Numerical Method for Complex Geometrical Optics Solutions to the Conductivity Equation

SIAM Journal on Scientific Computing
Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology

SIAM Journal on Scientific Computing
Stability of the Nyström Method for the Sherman-Lauricella Equation

SIAM Journal on Numerical Analysis
Optimized Additive Schwarz with Harmonic Extension as a Discretization of the Continuous Parallel Schwarz Method

SIAM Journal on Numerical Analysis
Anderson Acceleration for Fixed-Point Iterations

SIAM Journal on Numerical Analysis
A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps

SIAM Journal on Scientific Computing
MINRES-QLP: A Krylov Subspace Method for Indefinite or Singular Symmetric Systems

SIAM Journal on Scientific Computing
Improved Scaling for Quantum Monte Carlo on Insulators

SIAM Journal on Scientific Computing
Estimates of the Norm of the Error in Solving Linear Systems with FOM and GMRES

SIAM Journal on Scientific Computing
Domain-Decomposition-Type Methods for Computing the Diagonal of a Matrix Inverse

SIAM Journal on Scientific Computing
LSMR: An Iterative Algorithm for Sparse Least-Squares Problems

SIAM Journal on Scientific Computing
The BiCOR and CORS Iterative Algorithms for Solving Nonsymmetric Linear Systems

SIAM Journal on Scientific Computing
Restarting the Nonsymmetric Lanczos Algorithm for Eigenvalues and Linear Equations Including Multiple Right-Hand Sides

SIAM Journal on Scientific Computing
Augmented strategies for interface and irregular domain problems

NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
GMRES implementations and residual smoothing techniques for solving ill-posed linear systems

Computers & Mathematics with Applications
Adaptive high-order Discontinuous Galerkin solution of elastohydrodynamic lubrication point contact problems

Advances in Engineering Software
A nominally second-order accurate finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids

Journal of Computational Physics
A stable high-order Spectral Difference method for hyperbolic conservation laws on triangular elements

Journal of Computational Physics
Short note: Stable and accurate integral equation methods for scattering problems with multiple material interfaces in two dimensions

Journal of Computational Physics
Three parallel algorithms for solving nonlinear systems and optimization problems

VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science
3D face recognition using eigen-spectrum on the flattened facial surface

SINOBIOMETRICS'04 Proceedings of the 5th Chinese conference on Advances in Biometric Person Authentication
Solution of the equation of radiative transfer using a Newton-Krylov approach and adaptive mesh refinement

Journal of Computational Physics
Coupled fusion simulation using the common component architecture

ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
An efficient preconditioned iterative solution of fully-coupled elastohydrodynamic lubrication problems

Applied Numerical Mathematics
Parallel reactive molecular dynamics: Numerical methods and algorithmic techniques

Parallel Computing
Using performance profiles to evaluate preconditioners for iterative methods

ICCSA'06 Proceedings of the 2006 international conference on Computational Science and Its Applications - Volume Part III
Analysis of an implicitly restarted simpler GMRES variant of augmented GMRES

ICCSA'10 Proceedings of the 2010 international conference on Computational Science and Its Applications - Volume Part II
Parallel domain decomposition methods for high-order finite element solutions of the helmholtz problem

ICA3PP'10 Proceedings of the 10th international conference on Algorithms and Architectures for Parallel Processing - Volume Part II
Parallel Jacobian-free Newton Krylov solution of the discrete ordinates method with flux limiters for 3D radiative transfer

Journal of Computational Physics
Semi-implicit formulation of the immersed finite element method

Computational Mechanics
An approach for structural static reanalysis with unchanged number of degrees of freedom

Structural and Multidisciplinary Optimization
Numerical solution of diffusion models in biomedical imaging on multicore processors

Journal of Biomedical Imaging - Special issue on Parallel Computation in Medical Imaging Applications
Optimized local basis set for Kohn-Sham density functional theory

Journal of Computational Physics
Towards efficient SPICE-accurate nonlinear circuit simulation with on-the-fly support-circuit preconditioners

Proceedings of the 49th Annual Design Automation Conference
Parallel sparse linear solver GMRES for GPU clusters with compression of exchanged data

Euro-Par'11 Proceedings of the 2011 international conference on Parallel Processing
Cooperative Application/OS DRAM fault recovery

Euro-Par'11 Proceedings of the 2011 international conference on Parallel Processing - Volume 2
Ocean modelling for climate studies: Eliminating short time scales in long-term, high-resolution studies of ocean circulation

Mathematical and Computer Modelling: An International Journal
Preconditioned multigrid simulation of an axisymmetric laminar diffusion flame

Mathematical and Computer Modelling: An International Journal
Vectorizing codes for studying long-range transport of air pollutants

Mathematical and Computer Modelling: An International Journal
On the generation of Krylov subspace bases

Applied Numerical Mathematics
Estimation of groundwater flow parameters using least squares

Mathematical and Computer Modelling: An International Journal
Low-rank update of preconditioners for the inexact Newton method with SPD Jacobian

Mathematical and Computer Modelling: An International Journal
Modeling and numerical simulation of bioheat transfer and biomechanics in soft tissue

Mathematical and Computer Modelling: An International Journal
Nonlinear pressure and temperature waves propagation in fluid-saturated rocks

Mathematical and Computer Modelling: An International Journal
Fault resilience of the algebraic multi-grid solver

Proceedings of the 26th ACM international conference on Supercomputing
A matrix-free, implicit, incompressible fractional-step algorithm for fluid-structure interaction applications

Journal of Computational Physics
Preconditioning for Allen-Cahn variational inequalities with non-local constraints

Journal of Computational Physics
Generic rank-one corrections for value iteration in Markovian decision problems

Operations Research Letters
The computation of isotropic vectors

Numerical Algorithms
Solution of generalized shifted linear systems with complex symmetric matrices

Journal of Computational Physics
Numerical simulation of four-field extended magnetohydrodynamics in dynamically adaptive curvilinear coordinates via Newton-Krylov-Schwarz

Journal of Computational Physics
An adaptive multiscale method for density-driven instabilities

Journal of Computational Physics
Automatic Fréchet Differentiation for the Numerical Solution of Boundary-Value Problems

ACM Transactions on Mathematical Software (TOMS)
An overview on the eigenvalue computation for matrices

Neural, Parallel & Scientific Computations
Acoustic scattering solver based on single level FMM for multi-GPU systems

Journal of Parallel and Distributed Computing
Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems

SIAM Journal on Scientific Computing
Newton-Picard-Based Preconditioning for Linear-Quadratic Optimization Problems with Time-Periodic Parabolic PDE Constraints

SIAM Journal on Scientific Computing
Reactive Molecular Dynamics: Numerical Methods and Algorithmic Techniques

SIAM Journal on Scientific Computing
A Boundary Integral Method for Computing the Dynamics of an Epitaxial Island

SIAM Journal on Scientific Computing
A Bootstrap Algebraic Multilevel Method for Markov Chains

SIAM Journal on Scientific Computing
A Flexible Generalized Conjugate Residual Method with Inner Orthogonalization and Deflated Restarting

SIAM Journal on Matrix Analysis and Applications
A variable time-step-size code for advection-diffusion-reaction PDEs

Applied Numerical Mathematics
SAN lite-solver: a user-friendly software tool to solve SAN models

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New basic linear algebra methods for simulation on GPUs

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Original Article: Simpler GMRES with deflated restarting

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Robust and highly scalable parallel solution of the Helmholtz equation with large wave numbers

Journal of Computational and Applied Mathematics
A dispersion minimizing finite difference scheme and preconditioned solver for the 3D Helmholtz equation

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Efficient parallel implementation of the fully algebraic multiplicative Aitken-RAS preconditioning technique

Advances in Engineering Software
A note on spectrum analysis of augmentation block preconditioned generalized saddle point matrices

Journal of Computational and Applied Mathematics
Constraint preconditioners for solving singular saddle point problems

Journal of Computational and Applied Mathematics
Wind turbine aerodynamics using ALE---VMS: validation and the role of weakly enforced boundary conditions

Computational Mechanics
Computation of scattering by complex targets using an efficient mixed-order curved moment method

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dense media

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Fast multi-particle scattering: A hybrid solver for the Maxwell equations in microstructured materials

Journal of Computational Physics
A semi-implicit, semi-Lagrangian, p-adaptive discontinuous Galerkin method for the shallow water equations

Journal of Computational Physics
All-at-once solution of time-dependent Stokes control

Journal of Computational Physics
A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: Application to wood drying

Journal of Computational Physics
A sparse and high-order accurate line-based discontinuous Galerkin method for unstructured meshes

Journal of Computational Physics
Optimization of power consumption in the iterative solution of sparse linear systems on graphics processors

Computer Science - Research and Development
The fast multipole boundary element methods (FMBEM) and its applications in rolling engineering analysis

Computational Mechanics
Domain decomposition strategies for nonlinear flow problems in porous media

Journal of Computational Physics
Solving Hermitian positive definite systems using indefinite incomplete factorizations

Journal of Computational and Applied Mathematics
Fluid---structure interaction modeling of ringsail parachutes with disreefing and modified geometric porosity

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Parallel implementations of the trace minimization scheme TraceMIN for the sparse symmetric eigenvalue problem

Computers & Mathematics with Applications
Full length article: Orthogonal polynomials of the R-linear generalized minimal residual method

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Innovative modelling of 3D unsaturated flow in porous media by coupling independent models for vertical and lateral flows

Journal of Computational and Applied Mathematics
Auxiliary variables for 3D multiscale simulations in heterogeneous porous media

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Nonlinear Krylov acceleration applied to a discrete ordinates formulation of the k-eigenvalue problem

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Three-dimensional simulation of unstable gravity-driven infiltration of water into a porous medium

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Efficient Numerical Methods for Strongly Anisotropic Elliptic Equations

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Parallelization of the FMM on distributed-memory GPGPU systems for acoustic-scattering prediction

The Journal of Supercomputing
Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices

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Preconditioning for modal discontinuous Galerkin methods for unsteady 3D Navier-Stokes equations

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Rational Automata Networks: A Non-Markovian Modeling Approach

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A parallel implementation of the CMRH method for dense linear systems

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Crystal plasticity with Jacobian-Free Newton---Krylov

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Fast and memory-efficient GPU implementations of krylov subspace methods for efficient power grid analysis

Proceedings of the 23rd ACM international conference on Great lakes symposium on VLSI
Isogeometric analysis of the advective Cahn-Hilliard equation: Spinodal decomposition under shear flow

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Annotation propagation in image databases using similarity graphs

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A bidirectional coupling procedure applied to multiscale respiratory modeling

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A parallel and incremental extraction of variational capacitance with stochastic geometric moments

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SC '13 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
Learning output kernels for multi-task problems

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A fast multipole hybrid boundary node method for composite materials

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Two-level additive preconditioners for edge element discretizations of time-harmonic Maxwell equations

Computers & Mathematics with Applications
A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation

Computers & Mathematics with Applications
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Quadrature by expansion: A new method for the evaluation of layer potentials

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An isogeometric variational multiscale method for large-eddy simulation of coupled multi-ion transport in turbulent flow

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Fast time implicit-explicit discontinuous Galerkin method for the compressible Navier-Stokes equations

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Performance Evaluation
Self-stabilizing iterative solvers

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An enhanced parareal algorithm based on the deferred correction methods for a stiff system

Journal of Computational and Applied Mathematics
A generalized product-type BiCOR method and its application in signal deconvolution

Computers & Mathematics with Applications
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Preconditioning of complex symmetric linear systems with applications in optical tomography

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A wideband FMBEM for 2D acoustic design sensitivity analysis based on direct differentiation method

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Efficiency improvement of the frequency-domain BEM for rapid transient elastodynamic analysis

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Incremental transient simulation of power grid

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Necessary and sufficient conditions for GMRES complete and partial stagnation

Applied Numerical Mathematics
FGMRES for linear discrete ill-posed problems

Applied Numerical Mathematics
A generalization of the optimal diagonal approximate inverse preconditioner

Computers & Mathematics with Applications
An efficient graph sparsification approach to scalable harmonic balance (HB) analysis of strongly nonlinear RF circuits

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Parallel power grid analysis using preconditioned GMRES solver on CPU-GPU platforms

Proceedings of the International Conference on Computer-Aided Design
An $$\mathcal O (N \log N)$$O(NlogN) Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices

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Future Generation Computer Systems
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A doubly optimized solution of linear equations system expressed in an affine Krylov subspace

Journal of Computational and Applied Mathematics
A globally optimal tri-vector method to solve an ill-posed linear system

Journal of Computational and Applied Mathematics
Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates

Journal of Computational Physics
A new Fast Multipole formulation for the elastodynamic half-space Green's tensor

Journal of Computational Physics
A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions

Journal of Computational Physics
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A fully implicit domain decomposition based ALE framework for three-dimensional fluid-structure interaction with application in blood flow computation

Journal of Computational Physics
A fast and high-order method for the three-dimensional elastic wave scattering problem

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Hierarchical Krylov and nested Krylov methods for extreme-scale computing

Parallel Computing
On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods

Journal of Computational Physics
Dynamic implicit 3D adaptive mesh refinement for non-equilibrium radiation diffusion

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Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements

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Complete stagnation of GMRES for normal matrices

Journal of Computational and Applied Mathematics
Concurrent aerostructural topology optimization of a wing box

Computers and Structures
Unified semi-analytical wall boundary conditions applied to 2-D incompressible SPH

Journal of Computational Physics
Thermal analysis of 3D composites by a new fast multipole hybrid boundary node method

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Space---time VMS computation of wind-turbine rotor and tower aerodynamics

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Domain decomposition approach to flexible multibody dynamics simulation

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On approximated ILU and UGS preconditioning methods for linearized discretized steady incompressible Navier-Stokes equations

Numerical Algorithms
Prescribing the behavior of early terminating GMRES and Arnoldi iterations

Numerical Algorithms
Deforming-Spatial-Domain/Stabilized Space---Time (DSD/SST) method in computation of non-Newtonian fluid flow and heat transfer with moving boundaries

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A Parallel Domain Decomposition Method for 3D Unsteady Incompressible Flows at High Reynolds Number

Journal of Scientific Computing
Fluid---structure interaction simulation of pulsatile ventricular assist devices

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Fluid---structure interaction modeling of clusters of spacecraft parachutes with modified geometric porosity

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PDE-constrained optimization with error estimation and control

Journal of Computational Physics
Amesos2 and Belos: Direct and iterative solvers for large sparse linear systems

Scientific Programming
Finite element analysis of normal pressure hydrocephalus: influence of CSF content and anisotropy in permeability

Applied Bionics and Biomechanics
Reprint of Efficient parallel implementation of the fully algebraic multiplicative Aitken-RAS preconditioning technique

Advances in Engineering Software
Parallel algebraic domain decomposition solver for the solution of augmented systems

Advances in Engineering Software

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GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems

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