A family of Eulerian-Lagrangian localized adjoint methods for multi-dimensional advection-reaction equations

Contact Discontinuity Capturing Schemes for Linear Advection and Compressible Gas Dynamics

Journal of Scientific Computing

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

Journal of Computational Physics

Adaptive biorthogonal spline schemes for advection-reaction equations

Journal of Computational Physics

Solving the advection-diffusion equation with the Eulerian-Lagrangian localized adjoint method on unstructured meshes and non uniform time stepping

Journal of Computational Physics

An Eulerian-Lagrangian Solution Technique for Single-Phase Compositional Flow in Three-Dimensional Porous Media

Computers & Mathematics with Applications

A characteristic method for porous medium flow

International Journal of Computing Science and Mathematics

Relaxation method for unsteady convection-diffusion equations

Computers & Mathematics with Applications

An Optimal-Order Error Estimate to ELLAM Schemes for Transient Advection-Diffusion Equations on Unstructured Meshes

SIAM Journal on Numerical Analysis

Uniform Estimates of an Eulerian-Lagrangian Method for Time-Dependent Convection-Diffusion Equations in Multiple Space Dimensions

SIAM Journal on Numerical Analysis

Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov-Poisson system

Journal of Computational Physics

Mathematical models and methods in the water industry

Mathematical and Computer Modelling: An International Journal