Moving mesh partial differential equations (MMPDES) based on the equidistribution principle

Finite Difference Solutions of Incompressible Flow Problems with Corner Singularities

Journal of Scientific Computing

Mesh Selection for a Nearly Singular Boundary Value Problem

Journal of Scientific Computing

Hermite collocation solution of near-singular problems using numerical coordinate transformations based on adaptivity

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

A moving mesh method for the solution of the one-dimensional phase-field equations

Journal of Computational Physics

Modified arc-length adaptive algorithms for degenerate reaction-diffusion equations

Applied Mathematics and Computation

Convergence analysis of adaptive finite difference methods using stretching functions for boundary value problems with singular solutions

Focus on computational neurobiology

Precise computations of chemotactic collapse using moving mesh methods

Journal of Computational Physics

A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries

Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003

A fully implicit, nonlinear adaptive grid strategy

Journal of Computational Physics

Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions

Applied Numerical Mathematics

A splitting moving mesh method for reaction-diffusion equations of quenching type

Journal of Computational Physics

A pseudospectral method of solution of Fisher's equation

Journal of Computational and Applied Mathematics

A robust moving mesh finite volume method applied to 1D hyperbolic conservation laws from magnetohydrodynamics

Journal of Computational Physics

Spectral implementation of an adaptive moving mesh method for phase-field equations

Journal of Computational Physics

Cost-effectiveness of fully implicit moving mesh adaptation: a practical investigation in 1D

Journal of Computational Physics

A moving mesh method with variable mesh relaxation time

Applied Numerical Mathematics

A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations

Journal of Computational Physics

An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization

Journal of Computational Physics

Adaptive pseudospectral solution of a diffuse interface model

Journal of Computational and Applied Mathematics

Exponential splitting time integration for pseudospectral methods on moving meshes

Journal of Computational and Applied Mathematics

Numerical simulation of blowup in nonlocal reaction-diffusion equations using a moving mesh method

Journal of Computational and Applied Mathematics

Moving mesh methods for blowup in reaction-diffusion equations with traveling heat source

Journal of Computational Physics

A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries

Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003

Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions

Applied Numerical Mathematics

Convergence analysis of moving Godunov methods for dynamical boundary layers

Computers & Mathematics with Applications

A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources

Journal of Computational and Applied Mathematics

Robust, multidimensional mesh-motion based on Monge-Kantorovich equidistribution

Journal of Computational Physics

Automatic grid control in adaptive BVP solvers

Numerical Algorithms

Comparison of some Lie-symmetry-based integrators

Journal of Computational Physics

Optimal mass transport for higher dimensional adaptive grid generation

Journal of Computational Physics

Moving mesh method for problems with blow-up on unbounded domains

Numerical Algorithms

Adaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients

Journal of Computational Physics

An adaptive algorithm for the Thomas---Fermi equation

Numerical Algorithms

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 h-adaptive finite element solver for the calculations of the electronic structures

Journal of Computational Physics

Monge-Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem

Journal of Computational Physics

Adaptive numerical simulation of traffic flow density

Computers & Mathematics with Applications