Journal of Computational Physics
SIAM Journal on Numerical Analysis
A three-point combined compact difference scheme
Journal of Computational Physics
A family of high order finite difference schemes with good spectral resolution
Journal of Computational Physics
Modified multigrid for 3D elliptic equations with cross-derivatives
Applied Mathematics and Computation
Journal of Computational Physics
Fundamentals of Numerical Reservoir Simulation
Fundamentals of Numerical Reservoir Simulation
Hodiex: A Sixth Order Accurate Method for Solving Elliptical PDEs
Hodiex: A Sixth Order Accurate Method for Solving Elliptical PDEs
Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals
SIAM Journal on Numerical Analysis
Symmetric Permutations for I-matrices to Delay and Avoid Small Pivots During Factorization
SIAM Journal on Scientific Computing
Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems (Classics in Applied Mathematics Classics in Applied Mathemat)
ACM Transactions on Mathematical Software (TOMS)
A new combined stable and dispersion relation preserving compact scheme for non-periodic problems
Journal of Computational Physics
Pricing Options in Jump-Diffusion Models: An Extrapolation Approach
Operations Research
Two-level compact implicit schemes for three-dimensional parabolic problems
Computers & Mathematics with Applications
Journal of Computational Physics
Perfectly matched layers for coupled nonlinear Schrödinger equations with mixed derivatives
Journal of Computational Physics
SIAM Journal on Scientific Computing
Hi-index | 7.29 |
A combined compact difference scheme is proposed for linear second-order partial differential equations with mixed derivative. The scheme is based on a nine-point stencil at the interior with sixth-order accurate local truncation error. Fourier analysis is used to analyze the spectral resolution of the proposed scheme. Numerical tests demonstrate at least sixth-order convergence rate with Dirichlet boundary condition and fifth-order with Robin boundary condition. A bonus is that high Reynolds numbers do not interfere with the order of accuracy.