Numerical Solution of Partial Differential Equations: An Introduction

Numerical method satisfying the first two conservation laws for the Korteweg-de Vries equation

Journal of Computational Physics

On the performance of parallel implementations of an ADI scheme for parabolic PDEs on shared and distributed memory systems

International Journal of High Performance Computing and Networking

Guessing Tangents in Normal Flows

Journal of Mathematical Imaging and Vision

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

Journal of Computational Physics

Variable step search algorithm for feedforward networks

Neurocomputing

On the solution of p-Laplacian for non-Newtonian fluid flow

WSEAS Transactions on Mathematics

Short communication: The FEOM technique applied to a three-dimensional model of diffusion/advection of pollutants

Environmental Modelling & Software

High-order unconditionally stable FC-AD solvers for general smooth domains II. Elliptic, parabolic and hyperbolic PDEs; theoretical considerations

Journal of Computational Physics

Parallel Dichotomy Algorithm for solving tridiagonal system of linear equations with multiple right-hand sides

Parallel Computing

Data layout transformation exploiting memory-level parallelism in structured grid many-core applications

Proceedings of the 19th international conference on Parallel architectures and compilation techniques

A robust null space method for linear equality constrained state estimation

IEEE Transactions on Signal Processing

Two new upwind difference schemes for a coupled system of convection-diffusion equations arising from the steady MHD duct flow problems

Journal of Computational Physics

Symplectic and multisymplectic numerical methods for Maxwell's equations

Journal of Computational Physics

Maximum norm error estimates of efficient difference schemes for second-order wave equations

Journal of Computational and Applied Mathematics

A fitted numerical method for a system of partial delay differential equations

Computers & Mathematics with Applications

Optimising spatial and tonal data for homogeneous diffusion inpainting

SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision

Generalized lax-friedrichs schemes for linear advection equation with damping

ICICA'11 Proceedings of the Second international conference on Information Computing and Applications

An L∞ stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes

Journal of Computational and Applied Mathematics

An interval version of the crank-nicolson method --- the first approach

PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume 2

An adaptive multigrid algorithm for simulating solid tumor growth using mixture models

Mathematical and Computer Modelling: An International Journal

Global modeling of nonlinear circuits using the finite-difference Laguerre time-domain/alternative direction implicit finite-difference time-domain method with stability investigation

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields

A Gauss-Newton Method for the Integration of Spatial Normal Fields in Shape Space

Journal of Mathematical Imaging and Vision

Heuristic Modified Equation Analysis on Oscillations in Numerical Solutions of Conservation Laws

SIAM Journal on Numerical Analysis

Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations

Journal of Computational Physics

New lax-friedrichs scheme for convective-diffusion equation

ICICA'12 Proceedings of the Third international conference on Information Computing and Applications

The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and Lubrication-type equations

Journal of Computational Physics

A high-order compact exponential scheme for the fractional convection-diffusion equation

Journal of Computational and Applied Mathematics

Turing models of cortical folding on exponentially and logistically growing domains

Computers & Mathematics with Applications

Boundary treatment for fourth-order staggered mesh discretizations of the incompressible Navier-Stokes equations

Journal of Computational Physics

A dimension by dimension splitting immersed interface method for heat conduction equation with interfaces

Journal of Computational and Applied Mathematics