The numerical solution of second-order boundary value problems on nonuniform meshes

Point-distributed algorithms on locally refined grids for second order elliptic equations

Scientific computing and applications

Symmetry-preserving discretization of turbulent flow

Journal of Computational Physics

A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem

Journal of Computational Physics

A superconvergent linear FE approximation for the solution of an elliptic system of PDEs

Journal of Computational and Applied Mathematics

A Cartesian grid finite-difference method for 2D incompressible viscous flows in irregular geometries

Journal of Computational Physics

A shift transformation for fully conservative methods: turbulence simulation on complex, unstructured grids

Journal of Computational Physics

Kinetic energy conservation issues associated with the collocated mesh scheme for incompressible flow

Journal of Computational Physics

A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids

Journal of Computational Physics

A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Cartesian Grids

Journal of Scientific Computing

Space-time adaptive finite difference method for European multi-asset options

Computers & Mathematics with Applications

Two new compact finite-difference schemes for the solution of boundary value problems in second-order non-linear ordinary differential equations, using non-uniform grids

Journal of Computational Methods in Sciences and Engineering

Symmetry-preserving upwind discretization of convection on non-uniform grids

Applied Numerical Mathematics

Supraconvergent cell-centered scheme for two dimensional elliptic problems

Applied Numerical Mathematics

About the central difference method for singularly perturbed boundary value problems

Applied Numerical Mathematics

A superconvergent linear FE approximation for the solution of an elliptic system of PDEs

Journal of Computational and Applied Mathematics

Notes on accuracy of finite-volume discretization schemes on irregular grids

Applied Numerical Mathematics

H1-second order convergent estimates for non-Fickian models

Applied Numerical Mathematics

Error estimate for the upwind finite volume method for the nonlinear scalar conservation law

Journal of Computational and Applied Mathematics

A Second Order Discretization of Maxwell's Equations in the Quasi-Static Regime on OcTree Grids

SIAM Journal on Scientific Computing

An optimal error estimate for upwind Finite Volume methods for nonlinear hyperbolic conservation laws

Applied Numerical Mathematics

Supraconvergence and supercloseness in Volterra equations

Applied Numerical Mathematics

An energy preserving formulation for the simulation of multiphase turbulent flows

Journal of Computational Physics

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

Journal of Scientific Computing

Efficient and high accuracy pricing of barrier options under the CEV diffusion

Journal of Computational and Applied Mathematics

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

Journal of Computational Physics

Symmetry-preserving discretization of Navier-Stokes equations on collocated unstructured grids

Journal of Computational Physics