scientific article; zbMATH DE number 7455340

zbMath1499.65435MaRDI QIDQ5019874

Chi-Wang Shu, Meiqi Tan, Juan Cheng

Publication date: 11 January 2022

Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/18730.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

stabilityconvection-diffusion equationfinite differenceFourier methodconvection-dispersion equationIMEX

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

Conservation and accuracy studies of the LESCM for incompressible fluids, High-order semi-implicit schemes for evolutionary partial differential equations with higher order derivatives

Cites Work

• Unnamed Item
• Efficient solvers of discontinuous Galerkin discretization for the Cahn-Hilliard equations
• Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems
• Linearly-implicit Runge-Kutta methods based on implicit Runge-Kutta methods
• Weighted essentially non-oscillatory schemes
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• On the stability of implicit-explicit linear multistep methods
• A fast spectral algorithm for nonlinear wave equations with linear dispersion
• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
• Efficient implementation of weighted ENO schemes
• Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
• A new type of multi-resolution WENO schemes with increasingly higher order of accuracy
• Strong Stability-Preserving High-Order Time Discretization Methods
• Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
• The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation
• A Local Discontinuous Galerkin Method for KdV Type Equations
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Finite volume methods for unidirectional dispersive wave models
• Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations