Analysis of local discontinuous Galerkin methods with implicit-explicit time marching for linearized KdV equations
DOI10.1137/24m1635818MaRDI QIDQ6622685
Haijin Wang, Chi-Wang Shu, Qiang Zhang, Qi Tao
Publication date: 22 October 2024
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
error estimatesstability analysisimplicit-explicitlocal discontinuous Galerkinlinearized KdV equation
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Unnamed Item
- A fully-discrete local discontinuous Galerkin method for convection-dominated Sobolev equation
- A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- Optimally convergent HDG method for third-order Korteweg-de Vries type equations
- Superconvergence of the semi-discrete local discontinuous Galerkin method for nonlinear KdV-type problems
- Optimal error estimates of the local discontinuous Galerkin method and high-order time discretization scheme for the Swift-Hohenberg equation
- Local discontinuous Galerkin methods to a dispersive system of KdV-type equations
- Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation
- An ultra-weak discontinuous Galerkin method with implicit-explicit time-marching for generalized stochastic KdV equations
- Efficient time discretization for local discontinuous Galerkin methods
- Operator bounds and time step conditions for the DG and central DG methods
- Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations
- Accuracy-enhancement of discontinuous Galerkin methods for PDEs containing high order spatial derivatives
- Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems
- Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations
- Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems
- Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations
- Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
- Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations
- Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs
- A Local Discontinuous Galerkin Method for KdV Type Equations
- A New Conservative Discontinuous Galerkin Method via Implicit Penalization for the Generalized Korteweg–de Vries Equation
- Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations
- Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations
- Finite volume methods for unidirectional dispersive wave models
- The L$^2$-norm Stability Analysis of Runge--Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations
- Superconvergent HDG methods for linear, stationary, third-order equations in one-space dimension
- Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations
- Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation
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