An unsplit, higher order Godunov method for scalar conservation laws in multiple dimensions

High-order monotonicity-preserving compact schemes for linear scalar advection on 2-D irregular meshes

Journal of Computational Physics

A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing

Journal of Computational Physics

Second-order accurate volume-of-fluid algorithms for tracking material interfaces

Journal of Computational Physics

A coupling interface method for elliptic interface problems

Journal of Computational Physics

The streamline subgrid integration method: I. Quasi-monotonic second-order transport schemes

Journal of Computational Physics

An approximation of incompressible miscible displacement in porous media by mixed finite element method and characteristics-mixed finite element method

Journal of Computational and Applied Mathematics

An approximate two-dimensional Riemann solver for hyperbolic systems of conservation laws

Journal of Computational Physics

Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems

SIAM Journal on Numerical Analysis

Adaptive hierarchic transformations for dynamically p-enriched slope-limiting over discontinuous Galerkin systems of generalized equations

Journal of Computational Physics

Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods

Journal of Computational Physics

Stability, Monotonicity, Maximum and Minimum Principles, and Implementation of the Volume Corrected Characteristic Method

SIAM Journal on Scientific Computing

A Three-Dimensional, Unsplit Godunov Method for Scalar Conservation Laws

SIAM Journal on Scientific Computing

Recovering the spatial distribution of a groundwater contaminant at a prior time: The forward collocation method

Mathematical and Computer Modelling: An International Journal