The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids

Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations

Journal of Computational Physics

A Semi-Lagrangian Method for Turbulence Simulations Using Mixed Spectral Discretizations

Journal of Scientific Computing

A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations

Journal of Computational Physics

Nonlinear operator integration factor splitting for the shallow water equations

Applied Numerical Mathematics

Strong and Auxiliary Forms of the Semi-Lagrangian Method for Incompressible Flows

Journal of Scientific Computing

Hybrid Eulerian-Lagrangian Semi-Implicit Time-Integrators

Computers & Mathematics with Applications

An efficient algorithm for characteristic tracking on two-dimensional triangular meshes

Computing

A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases

Journal of Computational Physics

Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes

Journal of Computational Physics

Nonlinear operator integration factor splitting for the shallow water equations

Applied Numerical Mathematics

Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems

Journal of Computational Physics

Error Analysis for hp-FEM Semi-Lagrangian Second Order BDF Method for Convection-Dominated Diffusion Problems

Journal of Scientific Computing

Semi-Implicit Formulations of the Navier-Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling

SIAM Journal on Scientific Computing

Second order modified method of characteristics mixed defect-correction finite element method for time dependent Navier---Stokes problems

Numerical Algorithms

Variational multiscale stabilization of high-order spectral elements for the advection-diffusion equation

Journal of Computational Physics

Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: Limited-area mode

Journal of Computational Physics