A novel temporal two-grid compact finite difference scheme for the viscous Burgers' equation
type: Item
instance of: scholarly article
title: A novel temporal two-grid compact finite difference scheme for the viscous Burgers' equation
author: Xiangyi Peng
author: Wenlin Qiu
author: Jiangxing Wang
author: Lina Ma
published in: Advances in Applied Mathematics and Mechanics
publication date: 2024-11-28T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M22
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 7950834
zbMATH Keywords: two-grid
zbMATH Keywords: compact finite difference
zbMATH Keywords: viscous Burgers
zbMATH Keywords: stability
zbMATH Keywords: error analysis
MaRDI profile type: Publication
cites work: Finite difference discretization of the cubic Schrödinger equation
cites work: Mach reflection for the two-dimensional Burgers equation
cites work: Efficient linear, decoupled, and unconditionally stable scheme for a ternary Cahn-Hilliard type Nakazawa-Ohta phase-field model for tri-block copolymers
cites work: A second-order time accurate and fully-decoupled numerical scheme of the Darcy-Newtonian-nematic model for two-phase complex fluids confined in the Hele-Shaw cell
cites work: Efficient numerical scheme for a new hydrodynamically-coupled conserved Allen-Cahn type Ohta-Kawaski phase-field model for diblock copolymer melt
cites work: An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
cites work: Long time stability of high order multistep numerical schemes for two-dimensional incompressible Navier-Stokes equations
cites work: A numerical solution of the Burgers' equation using cubic B-splines
cites work: A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
cites work: A Galerkin finite element approach to Burgers' equation
cites work: Generating exact solutions of the two-dimensional Burgers' equations
cites work: Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
cites work: Error estimation of Hermite spectral method for nonlinear partial differential equations
cites work: Spectral Vanishing Viscosity Method For Nonlinear Conservation Laws
cites work: WO-GRID METHOD FOR BURGERS’ EQUATION BY A NEW MIXED FINITE ELEMENT SCHEME
cites work: Asymptotic properties of Burgers turbulence
cites work: Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law
cites work: Shock Layer Movement for Burgers’ equation
cites work: A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier-Stokes equations
cites work: A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data
cites work: A Semi-implicit Exponential Low-Regularity Integrator for the Navier--Stokes Equations
cites work: Analysis of fully discrete finite element methods for 2D Navier–Stokes equations with critical initial data
cites work: Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
cites work: Subdivision-based isogeometric analysis for second order partial differential equations on surfaces
cites work: A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model
cites work: A numerical solution of the Burgers' equation using septic \(B\)-splines
cites work: The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
cites work: Time Discretization of an Integro-Differential Equation of Parabolic Type
cites work: On two linearized difference schemes for Burgers’ equation
cites work: Space‐time finite elements incorporating characteristics for the burgers' equation
cites work: Analysis of a fourth-order finite difference method for the incompressible Boussinesq equations
cites work: The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation
cites work: Optimal Error Estimates of the Chebyshev--Legendre Spectral Method for Solving the Generalized Burgers Equation
cites work: A Novel Two-Grid Method for Semilinear Elliptic Equations
cites work: Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
cites work: Q6553296
cites work: Quantum lattice-gas model for the Burgers equation
cites work: Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity
DOI: 10.4208/AAMM.OA-2022-0302
description: scientific article; zbMATH DE number 7950834