Summation by parts for finite difference approximations for d/dx
Journal of Computational Physics
A stable and conservative interface treatment of arbitrary spatial accuracy
Journal of Computational Physics
Journal of Computational Physics
Explicit Hybrid Time Domain Solver for the Maxwell Equations in 3D
Journal of Scientific Computing
Journal of Scientific Computing
High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates
Journal of Computational Physics
Journal of Scientific Computing
Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
Applied Numerical Mathematics
Applied Numerical Mathematics
Summation by parts operators for finite difference approximations of second derivatives
Journal of Computational Physics
High order finite difference methods for wave propagation in discontinuous media
Journal of Computational Physics
A stable and efficient hybrid scheme for viscous problems in complex geometries
Journal of Computational Physics
A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
Journal of Computational Physics
Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods
SIAM Journal on Scientific Computing
Interface procedures for finite difference approximations of the advection-diffusion equation
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Journal of Computational Physics
High-fidelity numerical solution of the time-dependent Dirac equation
Journal of Computational Physics
Optimal diagonal-norm SBP operators
Journal of Computational Physics
Hi-index | 31.48 |
A stable hybrid method for hyperbolic problems that combines the unstructured finite volume method with high-order finite difference methods has been developed. The coupling procedure is based on energy estimates and stability can be guaranteed. Numerical calculations verify that the hybrid method is efficient and accurate.