BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems

PILS: an iterative linear solver package for ill-conditioned systems

Proceedings of the 1991 ACM/IEEE conference on Supercomputing

A performance model for krylov subspace methods on mesh-based parallel computers

Parallel Computing

Practical aspect and experience: Real applications on the new parallel system NEC Cenju-3

Parallel Computing

Algorithm 758: VLUGR2: a vectorizable adaptive-grid solver for PDEs in 2D

ACM Transactions on Mathematical Software (TOMS)

Algorithm 759: VLUGR3: a vectorizable adaptive-grid solver for PDEs in 3D—Part II. code description

ACM Transactions on Mathematical Software (TOMS)

Algorithm 777: HOMPACK90: a suite of Fortran 90 codes for globally convergent homotopy algorithms

ACM Transactions on Mathematical Software (TOMS)

MCGS: A Modified Conjugate Gradient Squared Algorithm for Nonsymmetric Linear Systems

The Journal of Supercomputing

Some numerical experiments with multigrid methods on Shishkin meshes

Journal of Computational and Applied Mathematics

A review of formal orthogonality in Lanczos-based methods

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics

A parallel iterative linear solver for solving irregular grid semiconductor device matrices

Proceedings of the 1994 ACM/IEEE conference on Supercomputing

High Performance Computations for Large Scale Simulations of Subsurface Multiphase Fluid and Heat Flow

The Journal of Supercomputing

Krylov-based Uzawa algorithms for the solution of the Stokes equations using discontinuous-pressure tetrahedral finite elements

Journal of Computational Physics

On the performance of certain direct and iterative methods on equations arising on a two-dimensional in situ combustion simulator

Applied Mathematics and Computation

A class of optimized row projection methods for solving large nonsymmetric linear systems

Applied Numerical Mathematics

Numerical experiments to optimize the use of (I)LU preconditioning in the iterative linear solver package LINSOL

Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss

GPBiCG(m, l): a hybrid of BiCGSTAB and GPBiCG methods with efficiency and robustness

Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss

Variations of Zhang's Lanczos-type product method

Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss

A parallel solver for large-scale Markov chains

Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss

Krylov Subspace Iteration

Computing in Science and Engineering

Preconditioning techniques for large linear systems: a survey

Journal of Computational Physics

Computational solution of two-dimensional unsteady PDEs using moving mesh methods

Journal of Computational Physics

Computational aspects of the ultra-weak variational formulation

Journal of Computational Physics

Circulant-block preconditioners for solving ordinary differential equations

Applied Mathematics and Computation

Parallel Flood Modeling Systems

ICCS '02 Proceedings of the International Conference on Computational Science-Part I

Programming the Bi-CGSTAB Matrix Solver for HPC and Benchmarking IBM SP3 and Alpha ES40

IPDPS '02 Proceedings of the 16th International Parallel and Distributed Processing Symposium

A General Parallel Computing Approach Using the Finite Element Method and the Objects Oriented Programming by Selected Data Technique

PaCT '01 Proceedings of the 6th International Conference on Parallel Computing Technologies

Parallel Numerical Solution for Flood Modeling Systems

PPAM '01 Proceedings of the th International Conference on Parallel Processing and Applied Mathematics-Revised Papers

A Fast Solver for Convection Diffusion Equations Based on Nested Dissection with Incomplete Elimination

Euro-Par '00 Proceedings from the 6th International Euro-Par Conference on Parallel Processing

Robust Preconditioning of Dense Problems from Electromagnetics

NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications

Multigrid Methods and Finite Difference Schemes for 2D Singularly Perturbed Problems

NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications

Concept of a Problem Solving Environment for Flood Forecasting

Proceedings of the 9th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface

A Generalized GMRES Iterative Method

NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications

Comparison of Ten Methods for the Solution of Large and Sparse Linear Algebraic Systems

NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications

Separation-of-variables as a preconditioner for an iterative Helmholtz solver

Applied Numerical Mathematics

Variations of the GMRES iterative method

Applied Numerical Mathematics

Computing tall skinny solutions of AX - XB = C

Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics

On the use of surface interpolation techniques in generalised finite volume strategies for simulating transport in highly anisotropic porous media

Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics

Preconditioning by Gram matrix approximation for diffusion-convection-reaction equations with discontinuous coefficients

Mathematics and Computers in Simulation

An Eulerian description of the streaming process in the lattice Boltzmann equation

Journal of Computational Physics

The effect of orderings on sparse approximate inverse preconditioners for non-symmetric problems

Advances in Engineering Software - Engineering computational technology

High performance computing for direct turbulence simulation in computational fluid dynamics

HPC-ASIA '97 Proceedings of the High-Performance Computing on the Information Superhighway, HPC-Asia '97

A two-dimensional moving finite element method with local refinement based on a posteriori error estimates

Applied Numerical Mathematics

Numerical Solution of Hamilton-Jacobi-Bellman Equations by an Upwind Finite Volume Method

Journal of Global Optimization

BiCGStab(l) for families of shifted linear systems

Computing

Computational experience with sequential and parallel, preconditioned Jacobi--Davidson for large, sparse symmetric matrices

Journal of Computational Physics

References

Sourcebook of parallel computing

A new approximate matrix factorization for implicit time integration in air pollution modeling

Journal of Computational and Applied Mathematics

A Numerical Modeling of Rayleigh–Marangoni Steady Convection in a Non-Uniform Differentially Heated 3D Cavity

Journal of Scientific Computing

An improvement in DS-BiCGstab(l) and its application for linear systems in lattice QCD

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 6th Japan--China joint seminar on numerical mathematics, university of Tsukuba, Japan, 5-9 August 2002

A projection method for generalized eigenvalue problems using numerical integration

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 6th Japan--China joint seminar on numerical mathematics, university of Tsukuba, Japan, 5-9 August 2002

A fast implementation for GMRES method

Journal of Computational and Applied Mathematics

An efficient and robust algorithm for 2D stratified fluid flow calculations

Applied Numerical Mathematics - Special issue on applied and computational mathematics: Selected papers of the fourth PanAmerican workshop

Numerical linear algebra for reconstruction inverse problems

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the international conference on linear algebra and arithmetic, Rabat, Morocco, 28-31 May 2001

Jacobian-free Newton-Krylov methods: a survey of approaches and applications

Journal of Computational Physics

An implicit Vlasov-Fokker-Planck code to model non-local electron transport in 2-D with magnetic fields

Journal of Computational Physics

Transforming 3D mesh surfaces into images by parameterization

Integrated image and graphics technologies

Tensor-product adaptive grids based on coordinate transformations

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the international conference on boundary and interior layers - computational and asymptotic methods (BAIL 2002)

Preconditioning Indefinite Systems in Interior Point Methods for Optimization

Computational Optimization and Applications

A free-surface correction method for simulating shallow water flows

Journal of Computational Physics

A numerical study of non-linear dynamics in a tank for aerospace applications

Applied Numerical Mathematics - Special issue: Applied scientific computing - Grid generation, approximated solutions and visualization

Flux limiters in the coupling of radiation and hydrodynamic models

Journal of Computational and Applied Mathematics - Special issue: Selected papers from the 2nd international conference on advanced computational methods in engineering (ACOMEN2002) Liege University, Belgium, 27-31 May 2002

Adaptive moving mesh computations for reaction--diffusion systems

Journal of Computational and Applied Mathematics - Special issue: Selected papers from the 2nd international conference on advanced computational methods in engineering (ACOMEN2002) Liege University, Belgium, 27-31 May 2002

On a class of preconditioners for solving the Helmholtz equation

Applied Numerical Mathematics

The pressure-corrected ICE finite element method for compressible flows on unstructured meshes

Journal of Computational Physics

Interpolating discrete advection-diffusion propagators at Leja sequences

Journal of Computational and Applied Mathematics

SCIMA-SMP: on-chip memory processor architecture for SMP

WMPI '04 Proceedings of the 3rd workshop on Memory performance issues: in conjunction with the 31st international symposium on computer architecture

Transpose-free multiple Lanczos and its application in Padé approximation

Journal of Computational and Applied Mathematics

High order accurate solution of the incompressible Navier-Stokes equations

Journal of Computational Physics

Three-dimensional numerical simulation of flows with complex geometries in a regular Cartesian grid and its application to blood flow in cerebral artery with multiple aneurysms

Journal of Computational Physics

Relaxation strategies for nested Krylov methods

Journal of Computational and Applied Mathematics

Comparisons of the ILU(0), Point-SSOR, and SPAI Preconditioners on the CRAY-T3E for Nonsymmetric Sparse Linear Systems Arising from PDEs on Structured Grids

International Journal of High Performance Computing Applications

Globalized Newton-Krylov-Schwarz Algorithms and Software for Parallel Implicit CFD

International Journal of High Performance Computing Applications

On Resistive MHD Models with Adaptive Moving Meshes

Journal of Scientific Computing

A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers

Journal of Computational Physics

Metric tensors for anisotropic mesh generation

Journal of Computational Physics

An adaptive multilevel wavelet collocation method for elliptic problems

Journal of Computational Physics

A DLM/FD method for fluid/flexible-body interactions

Journal of Computational Physics

A new paradigm for solving Navier-Stokes equations: streamfunction-velocity formulation

Journal of Computational Physics

Restarted block-GMRES with deflation of eigenvalues

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

Preconditioning for a Class of Spectral Differentiation Matrices

Journal of Scientific Computing

Mesh Parameterization by Minimizing the Synthesized Distortion Metric with the Coefficient-Optimizing Algorithm

IEEE Transactions on Visualization and Computer Graphics

On the discrete dynamic nature of the conjugate gradient method

Journal of Computational Physics

Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation

Applied Numerical Mathematics

A hybrid linking approach for solving the conservation equations with an adaptive mesh refinement method

Journal of Computational and Applied Mathematics - Special issue: The international conference on computational methods in sciences and engineering 2004

Partitioning methods for reaction-diffusion problems

Applied Numerical Mathematics

A mass-conserving vorticity-velocity formulation with application to nonreacting and reacting flows

Journal of Computational Physics

Radiation models for thermal flows at low Mach number

Journal of Computational Physics

Parallel iterative solvers for sparse linear systems in circuit simulation

Future Generation Computer Systems

Multigrid Methods on Adaptively Refined Grids

Computing in Science and Engineering

A partition method for the solution of a coupled liquid-structure interaction problem

Applied Numerical Mathematics - Applied scientific computing: Advances in grid generation, approximation and numerical modeling

A parallel explicit/implicit time stepping scheme on block-adaptive grids

Journal of Computational Physics

A formally fourth-order accurate compact scheme for 3D Poisson equation in cylindrical coordinates

Journal of Computational and Applied Mathematics

BiCGStab, VPAStab and an adaptation to mildly nonlinear systems

Journal of Computational and Applied Mathematics

Wavelet-based SPAI pre-conditioner using local dropping

Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras

Domain decomposition and skeleton programming with OCamlP31

Parallel Computing - Algorithmic skeletons

A finite difference model for air pollution simulation

Advances in Engineering Software

Multigrid Newton-Krylov method for radiation in diffusive semitransparent media

Journal of Computational and Applied Mathematics

Wick-stochastic finite element solution of reaction-diffusion problems

Journal of Computational and Applied Mathematics

Large sparse linear systems arising from mimetic discretization

Computers & Mathematics with Applications

An iterative solver benchmark

Scientific Programming

A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation

Journal of Computational Physics

A transient higher order compact scheme for incompressible viscous flows on geometries beyond rectangular

Journal of Computational Physics

A general fictitious domain method with immersed jumps and multilevel nested structured meshes

Journal of Computational Physics

A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries

Journal of Computational Physics

An immersed boundary method for compressible flows using local grid refinement

Journal of Computational Physics

Optimizing a conjugate gradient solver with non-blocking collective operations

Parallel Computing

Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes

Journal of Computational Physics

An ultra-weak method for acoustic fluid-solid interaction

Journal of Computational and Applied Mathematics

Conservative form of interpolated differential operator scheme for compressible and incompressible fluid dynamics

Journal of Computational Physics

An efficient transient Navier-Stokes solver on compact nonuniform space grids

Journal of Computational and Applied Mathematics

Two-grid discretization schemes for nonlinear Schrödinger equations

Journal of Computational and Applied Mathematics

An iterative approach to the solution of an inverse problem in linear elasticity

Mathematics and Computers in Simulation

Parameters identification in a seawater intrusion model using adjoint sensitive method

Mathematics and Computers in Simulation

On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices

Applied Numerical Mathematics

On the numerical solution of diffusion-reaction equations with singular source terms

Journal of Computational and Applied Mathematics

Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation

Computers & Mathematics with Applications

Matrix solvers for computational fluid dynamics

MATH'06 Proceedings of the 10th WSEAS International Conference on APPLIED MATHEMATICS

Lanczos methods in economic Models: visual representation and computing

Math'04 Proceedings of the 5th WSEAS International Conference on Applied Mathematics

Robust smoothers for high-order discontinuous Galerkin discretizations of advection-diffusion problems

Journal of Computational and Applied Mathematics

Preconditioning techniques for the iterative solution of scattering problems

Journal of Computational and Applied Mathematics

Piecewise-polynomial discretization and Krylov-accelerated multigrid for elliptic interface problems

Journal of Computational Physics

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

ACM Transactions on Mathematical Software (TOMS)

Finite element analysis of three-dimensional vortical flow structure and topology inside a carotid bifurcation model

International Journal of Computational Fluid Dynamics

Efficient d-multigrid preconditioners for sparse-grid solution of high-dimensional partial differential equations

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

Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method

Journal of Computational Physics

A Numerical Method for Free-Surface Flows and Its Application to Droplet Impact on a Thin Liquid Layer

Journal of Scientific Computing

A Local Semi-Implicit Level-Set Method for Interface Motion

Journal of Scientific Computing

On the Use of Compact Streamfunction-Velocity Formulation of Steady Navier-Stokes Equations on Geometries beyond Rectangular

Journal of Scientific Computing

Homogenization design method for biomorphic composite materials

Journal of Computational Methods in Sciences and Engineering - Computational and Mathematical Methods for Science and Engineering Conference 2002 - CMMSE-2002

Preconditioner updates applied to CFD model problems

Applied Numerical Mathematics

Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods

Applied Numerical Mathematics

Stability of GPBiCG_AR Method Based on Minimization of Associate Residual

Computer Mathematics

Adaptive θ-methods for pricing American options

Journal of Computational and Applied Mathematics

Penalty methods for the numerical solution of American multi-asset option problems

Journal of Computational and Applied Mathematics

Dirichlet degrees of freedom need not be eliminated

Applied Numerical Mathematics

Mixed Constraint Preconditioners for the iterative solution of FE coupled consolidation equations

Journal of Computational Physics

A CG-FFT approach to the solution of a stress-velocity formulation of three-dimensional elastic scattering problems

Journal of Computational Physics

Computational complexity and parallelization of the meshless local Petrov-Galerkin method

Computers and Structures

Fast nonnegative matrix factorization algorithms using projected gradient approaches for large-scale problems

Computational Intelligence and Neuroscience - Advances in Nonnegative Matrix and Tensor Factorization

Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes

Journal of Computational Physics

A hydrostatic/non-hydrostatic grid-switching strategy for computing high-frequency, high wave number motions embedded in geophysical flows

Environmental Modelling & Software

A damping preconditioner for time-harmonic wave equations in fluid and elastic material

Journal of Computational Physics

High-order quadratures for the solution of scattering problems in two dimensions

Journal of Computational Physics

Comparing Some Methods and Preconditioners for Hydropower Plant Flow Simulations

High Performance Computing for Computational Science - VECPAR 2008

Opendda: a Novel High-Performance Computational Framework for the Discrete Dipole Approximation

International Journal of High Performance Computing Applications

An improved parallel hybrid bi-conjugate gradient method suitable for distributed parallel computing

Journal of Computational and Applied Mathematics

An extension of the conjugate residual method to nonsymmetric linear systems

Journal of Computational and Applied Mathematics

A new combined stable and dispersion relation preserving compact scheme for non-periodic problems

Journal of Computational Physics

On some new approximate factorization methods for block tridiagonal matrices suitable for vector and parallel processors

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

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

Semi-automatic parallelization of direct and inverse problems for geothermal simulation

Proceedings of the 2009 ACM symposium on Applied Computing

On Single Precision Preconditioners for Krylov Subspace Iterative Methods

Large-Scale Scientific Computing

Improving Triangular Preconditioner Updates for Nonsymmetric Linear Systems

Large-Scale Scientific Computing

A Spectral Element Approximation to Price European Options. II. The Black-Scholes Model with Two Underlying Assets

Journal of Scientific Computing

VPAStab(J,L): An iterative method with look-ahead for the solution of large sparse linear systems

Journal of Computational and Applied Mathematics

A robust and efficient finite volume scheme for the discretization of diffusive flux on extremely skewed meshes in complex geometries

Journal of Computational Physics

Shape Metrics Based on Elastic Deformations

Journal of Mathematical Imaging and Vision

Lanczos-type variants of the COCR method for complex nonsymmetric linear systems

Journal of Computational Physics

Further improvement and analysis of CCD scheme: Dissipation discretization and de-aliasing properties

Journal of Computational Physics

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

Computers & Mathematics with Applications

PSPIKE: A Parallel Hybrid Sparse Linear System Solver

Euro-Par '09 Proceedings of the 15th International Euro-Par Conference on Parallel Processing

A Quadratic Spline based Interface (QUASI) reconstruction algorithm for accurate tracking of two-phase flows

Journal of Computational Physics

Restarted block-GMRES with deflation of eigenvalues

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation

Applied Numerical Mathematics

Tracking Fronts in One and Two-phase Incompressible Flows Using an Adaptive Mesh Refinement Approach

Journal of Scientific Computing

Eulerian-Lagrangian multiscale methods for solving scalar equations - Application to incompressible two-phase flows

Journal of Computational Physics

A preconditioned Krylov technique for global hydrodynamic stability analysis of large-scale compressible flows

Journal of Computational Physics

Numerical simulations of free-interface fluids by a multi-integrated moment method

Computers and Structures

New implementation of QMR-type algorithms

Computers and Structures

An optimization framework for heterogeneous access management

WCNC'09 Proceedings of the 2009 IEEE conference on Wireless Communications & Networking Conference

Enhanced TABS-MDS model for simulating large-scale free surface flows

Environmental Modelling & Software

Parallel iterative solvers for sparse linear systems in circuit simulation

Future Generation Computer Systems

Transpose-free multiple Lanczos and its application in Padé approximation

Journal of Computational and Applied Mathematics

Relaxation strategies for nested Krylov methods

Journal of Computational and Applied Mathematics

Convergence of nonstationary multisplitting methods using ILU factorizations

Journal of Computational and Applied Mathematics

A Spectral Element Approximation to Price European Options with One Asset and Stochastic Volatility

Journal of Scientific Computing

High-order accurate solution of the incompressible Navier-Stokes equations on massively parallel computers

Journal of Computational Physics

Optimal time advancing dispersion relation preserving schemes

Journal of Computational Physics

A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes

Journal of Computational Physics

Poor scalability of parallel shared memory model: myth or reality?

ICCS'03 Proceedings of the 2003 international conference on Computational science

BiCR variants of the hybrid BiCG methods for solving linear systems with nonsymmetric matrices

Journal of Computational and Applied Mathematics

A fast parallel Poisson solver on irregular domains applied to beam dynamics simulations

Journal of Computational Physics

Tackling large state spaces in performance modelling

SFM'07 Proceedings of the 7th international conference on Formal methods for performance evaluation

Partial approximation of the master equation by the Fokker-Planck equation

PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing

ADI spectral collocation methods for parabolic problems

Journal of Computational Physics

Traffic-aware optimization of heterogeneous access management

IEEE Transactions on Communications

Row scaling as a preconditioner for some nonsymmetric linear systems with discontinuous coefficients

Journal of Computational and Applied Mathematics

CARP-CG: A robust and efficient parallel solver for linear systems, applied to strongly convection dominated PDEs

Parallel Computing

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

Journal of Computational Physics

GBi-CGSTAB(s,L): IDR(s) with higher-order stabilization polynomials

Journal of Computational and Applied Mathematics

On the indefinite Helmholtz equation: Complex stretched absorbing boundary layers, iterative analysis, and preconditioning

Journal of Computational Physics

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

Journal of Computational Physics

Lessons from implementing the biCGStab method with SkeTo library

Proceedings of the fourth international workshop on High-level parallel programming and applications

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

Saddle point preconditioners for linearized Navier-Stokes equations discretized by a finite volume method

Applied Numerical Mathematics

Improving the parallel performance of a domain decomposition preconditioning technique in the Jacobi-Davidson method for large scale eigenvalue problems

Applied Numerical Mathematics

Bi-CGSTAB as an induced dimension reduction method

Applied Numerical Mathematics

Parallelizing the QUDA Library for Multi-GPU Calculations in Lattice Quantum Chromodynamics

Proceedings of the 2010 ACM/IEEE International Conference for High Performance Computing, Networking, Storage and Analysis

Conditional ranking on relational data

ECML PKDD'10 Proceedings of the 2010 European conference on Machine learning and knowledge discovery in databases: Part II

Simulation of incompressible flow with alternate pressure Dirichlet and Neumann conditions

Mathematics and Computers in Simulation

Calibrating Least Squares Semidefinite Programming with Equality and Inequality Constraints

SIAM Journal on Matrix Analysis and Applications

Augmented Lagrangian and penalty methods for the simulation of two-phase flows interacting with moving solids. Application to hydroplaning flows interacting with real tire tread patterns

Journal of Computational Physics

High performance computation for large eddy simulation

MTPP'10 Proceedings of the Second Russia-Taiwan conference on Methods and tools of parallel programming multicomputers

A new compact difference scheme for second derivative in non-uniform grid expressed in self-adjoint form

Journal of Computational Physics

Two sides tangential filtering decomposition

Journal of Computational and Applied Mathematics

Wavelet based ILU preconditioners for the numerical solution by PUFEM of high frequency elastic wave scattering

Journal of Computational Physics

A Superlinearly Convergent Method for a Class of Complementarity Problems with Non-Lipschitzian Functions

SIAM Journal on Optimization

The Iterative Solver RISOLV with Application to the Exterior Helmholtz Problem

SIAM Journal on Scientific Computing

Weighted Matrix Ordering and Parallel Banded Preconditioners for Iterative Linear System Solvers

SIAM Journal on Scientific Computing

A Simplified and Flexible Variant of GCROT for Solving Nonsymmetric Linear Systems

SIAM Journal on Scientific Computing

Interpreting IDR as a Petrov-Galerkin Method

SIAM Journal on Scientific Computing

Exploiting BiCGstab($\ell$) Strategies to Induce Dimension Reduction

SIAM Journal on Scientific Computing

Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations

SIAM Journal on Scientific Computing

A novel mesh regeneration algorithm for 2D FEM simulations of flows with moving boundary

Journal of Computational Physics

Reduced-rank approximations to the far-field transform in the gridded fast multipole method

Journal of Computational Physics

Identification of three-dimensional electric conductivity changes from time-lapse electromagnetic observations

Journal of Computational Physics

Performance models for the Spike banded linear system solver

Scientific Programming

Original article: Aperiodic, chaotic lid-driven square cavity flows

Mathematics and Computers in Simulation

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 block IDR(s) method for nonsymmetric linear systems with multiple right-hand sides

Journal of Computational and Applied Mathematics

A multi-block ADI finite-volume method for incompressible Navier-Stokes equations in complex geometries

Journal of Computational Physics

A composite preconditioner for the electromagnetic scattering from a large cavity

Journal of Computational Physics

GPU implementation of a Helmholtz Krylov solver preconditioned by a shifted Laplace multigrid method

Journal of Computational and Applied Mathematics

FSAI-based parallel Mixed Constraint Preconditioners for saddle point problems arising in geomechanics

Journal of Computational and Applied Mathematics

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

Journal of Computational and Applied Mathematics

An efficient compact difference scheme for solving the streamfunction formulation of the incompressible Navier-Stokes 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

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

High-performance lattice QCD for multi-core based parallel systems using a cache-friendly hybrid threaded-MPI approach

Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis

Scaling lattice QCD beyond 100 GPUs

Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis

Numerical solutions to integral equations equivalent to differential equations with fractional time

International Journal of Applied Mathematics and Computer Science

Adaptive Finite Element Simulation of the Time-dependent Simplified PN Equations

Journal of Scientific Computing

Adaptive numerical algorithms in space weather modeling

Journal of Computational Physics

On Efficient Numerical Approximation of the Bilinear Form $c^*A^{-1}b$

SIAM Journal on Scientific Computing

Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology

SIAM Journal on Scientific Computing

A Factorization of the Spectral Galerkin System for Parameterized Matrix Equations: Derivation and Applications

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

Multi-mass solvers for lattice QCD on GPUs

Journal of Computational Physics

A parallel exponential integrator for large-scale discretizations of advection-diffusion models

PVM/MPI'05 Proceedings of the 12th European PVM/MPI users' group conference on Recent Advances in Parallel Virtual Machine and Message Passing Interface

Solution of linearized rotating shallow water equations by compact schemes with different grid-staggering strategies

Journal of Computational Physics

Quasi-Newton acceleration of ILU preconditioners for nonlinear two-phase flow equations in porous media

Advances in Engineering Software

Development of a scalable solver for the earth’s core convection

HPCA'09 Proceedings of the Second international conference on High Performance Computing and Applications

Parallel generalized finite element method for magnetic multiparticle problems

VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science

Parallel acceleration of krylov solvers by factorized approximate inverse preconditioners

VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science

Parallel solution of sparse linear systems arising in advection–diffusion problems

Euro-Par'05 Proceedings of the 11th international Euro-Par conference on Parallel Processing

Breakdown-free ML(k)BiCGStab algorithm for non-Hermitian linear systems

ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IV

Impact of asynchronism on GPU accelerated parallel iterative computations

PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume Part I

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

Structural and Multidisciplinary Optimization

A lazy, self-optimising parallel matrix library

FP'95 Proceedings of the 1995 international conference on Functional Programming

Preconditioned multigrid simulation of an axisymmetric laminar diffusion flame

Mathematical and Computer Modelling: An International Journal

Parallel iterative solvers for boundary value methods

Mathematical and Computer Modelling: An International Journal

Multi-dimensional computation of compressible reacting flows through porous media to apply to Internal Combustion Engine simulation

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

Optimization of a pumping ship trajectory to clean oil contamination in the open sea

Mathematical and Computer Modelling: An International Journal

Modelling and simulation of a polluted water pumping process

Mathematical and Computer Modelling: An International Journal

A comparison of hydrostatic and nonhydrostatic pressure components in seiche oscillations

Mathematical and Computer Modelling: An International Journal

A parallel fast algorithm for computing the Helmholtz integral operator in 3-D layered media

Journal of Computational Physics

Solution of generalized shifted linear systems with complex symmetric matrices

Journal of Computational Physics

An automatic OpenCL compute kernel generator for basic linear algebra operations

Proceedings of the 2012 Symposium on High Performance Computing

Sparse approximate inverse preconditioners for iterative solvers on GPUs

Proceedings of the 2012 Symposium on High Performance Computing

A GPU-Accelerated parallel preconditioner for the solution of the boltzmann transport equation for semiconductors

Facing the Multicore-Challenge II

Implementation of a direct procedure for critical point computations using preconditioned iterative solvers

Computers and Structures

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

Journal of Computational Physics

Stability investigation of a difference scheme for incompressible Navier-Stokes equations

CASC'07 Proceedings of the 10th international conference on Computer Algebra in Scientific Computing

Analysis and performance estimation of the Conjugate Gradient method on multiple GPUs

Parallel Computing

Original article: A three-dimensional model for the study of the cooling system of submersible electric pumps

Mathematics and Computers in Simulation

A practical numerical framework for free surface flows based on CLSVOF method, multi-moment methods and density-scaled CSF model: Numerical simulations of droplet splashing

Journal of Computational Physics

Adaptive mesh, finite volume modeling of marine ice sheets

Journal of Computational Physics

Lattice QCD on GPU clusters, using the QUDA library and the Chroma software system

International Journal of High Performance Computing Applications

Solving Hermitian positive definite systems using indefinite incomplete factorizations

Journal of Computational and Applied Mathematics

A Neumann-Neumann preconditioned iterative substructuring approach for computing solutions to Poisson's equation with prescribed jumps on an embedded boundary

Journal of Computational Physics

A new implicit fictitious domain method for the simulation of flow in complex geometries with heat transfer

Journal of Computational Physics

Solving linear equations with a stabilized GPBiCG method

Applied Numerical Mathematics

A communication-efficient linear system solver for large eddy simulation of jet engine noise

Cluster Computing

Rational Automata Networks: A Non-Markovian Modeling Approach

INFORMS Journal on Computing

On numerical modeling performance of generalized preconditioned methods

Proceedings of the 6th Balkan Conference in Informatics

Three-dimensional visco-acoustic modeling using a renormalized integral equation iterative solver

Journal of Computational Physics

On optimizing Jacobi-Davidson method for calculating eigenvalues in low dimensional structures using eight band k·p model

Journal of Computational Physics

A local spectral method for graphs: with applications to improving graph partitions and exploring data graphs locally

The Journal of Machine Learning Research

The component interaction network approach for modeling of complex thermal systems

Advances in Engineering Software

An accurate low-Mach scheme for a compressible two-fluid model applied to free-surface flows

Journal of Computational Physics

Simulation of wave-structure interaction by hybrid Cartesian/immersed boundary and arbitrary Lagrangian-Eulerian finite-element method

Journal of Computational Physics

A generalized Block FSAI preconditioner for nonsymmetric linear systems

Journal of Computational and Applied Mathematics

On scalability behaviour of Monte Carlo sparse approximate inverse for matrix computations

ScalA '13 Proceedings of the Workshop on Latest Advances in Scalable Algorithms for Large-Scale Systems

A generalized product-type BiCOR method and its application in signal deconvolution

Computers & Mathematics with Applications

Particle simulation and flow sequence on drainage of liquid particles

Computers & Mathematics with Applications

A reconstruction algorithm with flexible stencils for anisotropic diffusion equations on 2D skewed meshes

Journal of Computational Physics

A Lagrangian VOF tensorial penalty method for the DNS of resolved particle-laden flows

Journal of Computational Physics

A variant of IDRstab with reliable update strategies for solving sparse linear systems

Journal of Computational and Applied Mathematics

Multiphysics simulations: Challenges and opportunities

International Journal of High Performance Computing Applications

Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations

Numerical Algorithms

A generalization of the optimal diagonal approximate inverse preconditioner

Computers & Mathematics with Applications

An $$\mathcal O (N \log N)$$O(NlogN) Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices

Journal of Scientific Computing

Exascale design space exploration and co-design

Future Generation Computer Systems

Skew-symmetric convection form and secondary conservative finite difference methods for moving grids

Journal of Computational Physics

Minimizing synchronizations in sparse iterative solvers for distributed supercomputers

Computers & Mathematics with Applications

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

Hierarchical Krylov and nested Krylov methods for extreme-scale computing

Parallel Computing

On the numerical modeling of convection-diffusion problems by finite element multigrid preconditioning methods

Advances in Engineering Software

Parallel multigrid algorithms based on generic approximate sparse inverses: an SMP approach

The Journal of Supercomputing

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

Journal of Computational Physics

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

Journal of Computational Physics

Efficient regularized least-squares algorithms for conditional ranking on relational data

Machine Learning

Amesos2 and Belos: Direct and iterative solvers for large sparse linear systems

Scientific Programming