High-order exponential time differencing multi-resolution alternative finite difference WENO methods for nonlinear degenerate parabolic equations.

High Order Absolutely Convergent Fast Sweeping Methods with Multi-resolution WENO Local Solvers for Eikonal and Factored Eikonal Equations.

An absolutely convergent fixed-point fast sweeping WENO method on triangular meshes for steady state of hyperbolic conservation laws.

Sparse grid implementation of a fixed-point fast sweeping WENO scheme for Eikonal equations.

Fast Sparse Grid Simulations of Fifth Order WENO Scheme for High Dimensional Hyperbolic PDEs.

Absolutely convergent fixed-point fast sweeping WENO methods for steady state of hyperbolic conservation laws.

A Modified Fifth Order Finite Difference Hermite WENO Scheme for Hyperbolic Conservation Laws.

Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations.

Computational Complexity Study on Krylov Integration Factor WENO Method for High Spatial Dimension Convection-Diffusion Problems.

Krylov Integration Factor Method on Sparse Grids for High Spatial Dimension Convection-Diffusion Equations.

Krylov single-step implicit integration factor WENO methods for advection-diffusion-reaction equations.

A Third Order Fast Sweeping Method with Linear Computational Complexity for Eikonal Equations.

A Robust Reconstruction for Unstructured WENO Schemes.

Krylov implicit integration factor WENO methods for semilinear and fully nonlinear advection-diffusion-reaction equations.

A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws.

Continuation Along Bifurcation Branches for a Tumor Model with a Necrotic Core.

Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations.

Operator splitting implicit integration factor methods for stiff reaction-diffusion-advection systems.

Krylov implicit integration factor methods for spatial discretization on high dimensional unstructured meshes: Application to discontinuous Galerkin methods.

Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment.

Application of Discontinuous Galerkin Methods for Reaction-Diffusion Systems in Developmental Biology.

Compact integration factor methods in high spatial dimensions.

A second order discontinuous Galerkin fast sweeping method for Eikonal equations.

Fast Sweeping Methods for Eikonal Equations on Triangular Meshes.

A Fast Sweeping Method for Static Convex Hamilton-Jacobi Equations.

Central WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes.

High Order Fast Sweeping Methods for Static Hamilton-Jacobi Equations.

Efficient semi-implicit schemes for stiff systems.

High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes.