Results 241 to 250 of about 241,782 (323)

A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Two-Dimensional Incompressible Flow

Communication on Applied Mathematics and Computation, 2023
For solving two-dimensional incompressible flow in the vorticity form by the fourth-order compact finite difference scheme and explicit strong stability preserving temporal discretizations, we show that the simple bound-preserving limiter in Li et al ...
Hao Li, Xiangxiong Zhang
semanticscholar   +1 more source

An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound

International Journal of Computational Mathematics, 2022
In this paper, the correction for the remainder of the truncation error of the second-order central difference scheme is employed to discretize temporal derivative, while the fourth-order Padé schemes are directly used to compute spatial derivatives, an ...
Yunzhi Jiang, Y. Ge
semanticscholar   +1 more source

High-order compact finite difference scheme with two conserving invariants for the coupled nonlinear Schrödinger–KdV equations

Journal of difference equations and applications (Print), 2022
In this paper, a new high-order accurate compact finite difference scheme for the coupled nonlinear Schrödinger–KdV (CNLS–KdV) equations is proposed. Conservation of the discrete number of plasmon and the discrete number of particle are given in detail ...
Yuyu He, Xiaofeng Wang
semanticscholar   +1 more source

Optimized compact finite difference schemes with maximum resolution

AIAA Journal, 1996
Direct numerical simulations and computational aeroacoustics require an accurate finite difference scheme that has a high order of truncation and high-resolution characteristics in the evaluation of spatial derivatives. Compact finite difference schemes are optimized to obtain maximum resolution characteristics in space for various spatial truncation ...
Kim, J.W., Lee, D.J.
openaire   +1 more source

Home - About - Disclaimer - Privacy