Choosing the forcing terms in an inexact Newton method

On the superlinear convergence of the successive approximations method

Journal of Optimization Theory and Applications

On backtracking failure in newton-GMRES methods with a demonstration for the navier-stokes equations

Journal of Computational Physics

The Newton-arithmetic mean method for the solution of systems of nonlinear equations

Applied Mathematics and Computation

Newton-like method with modification of the right-hand-side vector

Mathematics of Computation

On a one-dimensional optimization problem derived from the efficiency analysis of Newton-PCG-like algorithms

Journal of Computational and Applied Mathematics - Special issue: Papers presented at the 1st Sino--Japan optimization meeting, 26-28 October 2000, Hong Kong, China

An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows

Journal of Computational Physics

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

Journal of Computational Physics

Ultrascalable Implicit Finite Element Analyses in Solid Mechanics with over a Half a Billion Degrees of Freedom

Proceedings of the 2004 ACM/IEEE conference on Supercomputing

An Inexact Newton Method Derived from Efficiency Analysis

Journal of Global Optimization

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

International Journal of High Performance Computing Applications

A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations

Journal of Computational Physics

SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers

ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection

Jacobian---Free Newton---Krylov Methods for the Accurate Time Integration of Stiff Wave Systems

Journal of Scientific Computing

Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods

Journal of Computational Physics

A choice of forcing terms in inexact Newton method

Journal of Computational and Applied Mathematics

A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations

Applied Numerical Mathematics

POD acceleration of fully implicit solver for unsteady nonlinear flows and its application on grid architecture

Advances in Engineering Software

Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing

Journal of Computational Physics

Choice of initial guess in iterative solution of series of systems arising in fluid flow simulations

Journal of Computational Physics

Goal-oriented, model-constrained optimization for reduction of large-scale systems

Journal of Computational Physics

A three-dimensional finite volume method based on radial basis functions for the accurate computational modelling of nonlinear diffusion equations

Journal of Computational Physics

A Truncated Lagrange Method for Total Variation-Based Image Restoration

Journal of Mathematical Imaging and Vision

Globalization strategies for Newton-Krylov methods for stabilized FEM discretization of Navier-Stokes equations

Journal of Computational Physics

A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations

Journal of Computational Physics

Incomplete Jacobian Newton method for nonlinear equations

Computers & Mathematics with Applications

The Lagrange method for the regularization of discrete ill-posed problems

Computational Optimization and Applications - Special issue: Numerical analysis of optimization in partial differential equations

The Lagrange method for the regularization of discrete ill-posed problems

Computational Optimization and Applications

On solving a special class of weakly nonlinear finite-difference systems

International Journal of Computer Mathematics

On choosing a nonlinear initial iterate for solving the 2-D 3-T heat conduction equations

Journal of Computational Physics

A geometric newton method for oja's vector field

Neural Computation

On HSS-based iteration methods for weakly nonlinear systems

Applied Numerical Mathematics

Self-consistent solution of cosmological radiation-hydrodynamics and chemical ionization

Journal of Computational Physics

Efficient minimization method for a generalized total variation functional

IEEE Transactions on Image Processing

On projected Newton-Krylov solvers for instationary laminar reacting gas flows

Journal of Computational Physics

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

Journal of Computational Physics

Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods

Journal of Computational Physics

Efficient Nonlinear Solvers for Nodal High-Order Finite Elements in 3D

Journal of Scientific Computing

Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere

Journal of Computational Physics

Two-Level Newton and Hybrid Schwarz Preconditioners for Fluid-Structure Interaction

SIAM Journal on Scientific Computing

Scalability studies of an implicit shallow water solver for the Rossby-Haurwitz problem

VECPAR'10 Proceedings of the 9th international conference on High performance computing for computational science

Parallel Two-Grid Semismooth Newton-Krylov-Schwarz Method for Nonlinear Complementarity Problems

Journal of Scientific Computing

Fixed-Point Approaches to Computing Bertrand-Nash Equilibrium Prices Under Mixed-Logit Demand

Operations Research

Implementation of the Jacobian-free Newton-Krylov method for solving the first-order ice sheet momentum balance

Journal of Computational Physics

Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity

SIAM Journal on Scientific Computing

Efficient Preconditioner Updates for Shifted Linear Systems

SIAM Journal on Scientific Computing

Nonsymmetric Preconditioner Updates in Newton-Krylov Methods for Nonlinear Systems

SIAM Journal on Scientific Computing

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

Advances in Engineering Software

Domain decomposition methods for PDE constrained optimization problems

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

Parallel edge-based inexact newton solution of steady incompressible 3D navier-stokes equations

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

Predictor-Corrector preconditioned newton-krylov method for cavity flow

ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I

A comparison of the Jacobian-free Newton-Krylov method and the EVP model for solving the sea ice momentum equation with a viscous-plastic formulation: A serial algorithm study

Journal of Computational Physics

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

Journal of Computational Physics

On linearization and preconditioning for radiation diffusion coupled to material thermal conduction equations

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Computational Physics

Multiphysics simulations: Challenges and opportunities

International Journal of High Performance Computing Applications

A parallel Jacobian-free Newton-Krylov solver for a coupled sea ice-ocean model

Journal of Computational Physics

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

Journal of Scientific Computing

A second-order accurate in time IMplicit-EXplicit (IMEX) integration scheme for sea ice dynamics

Journal of Computational Physics