Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems
DOI10.1007/s11425-018-9524-xzbMath1434.65196arXiv1903.11859OpenAlexW2951230727WikidataQ127877307 ScholiaQ127877307MaRDI QIDQ2301209
Chi-Wang Shu, Haijin Wang, Shiping Wang, Qiang Zhang
Publication date: 28 February 2020
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.11859
stabilityerror estimatesnonlinear diffusionlocal discontinuous Galerkinexplicit-implicit-null time discretization
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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items (22)
Cites Work
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- The explicit-implicit-null method: removing the numerical instability of PDEs
- A fully-discrete local discontinuous Galerkin method for convection-dominated Sobolev equation
- Numerical simulation for porous medium equation by local discontinuous Galerkin finite element method
- Error analysis of the semi-discrete local discontinuous Galerkin method for semiconductor device simulation models
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- Semi-implicit level set methods for curvature and surface diffusion motion
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Local discontinuous Galerkin methods for partial differential equations with higher order derivatives
- Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions
- Device benchmark comparisons via kinetic, hydrodynamic, and high-field models
- An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems
- Analysis of the local discontinuous Galerkin method for the drift-diffusion model of semiconductor devices
- A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
- Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems
- Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
- Additive Runge-Kutta Methods for Stiff Ordinary Differential Equations
- The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces
- On a Class of Uniformly Accurate IMEX Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation
- Analyticity of the Interface of the Porous Media Equation After the Waiting Time
- Galerkin Methods for Miscible Displacement Problems in Porous Media
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- From Semidiscrete to Fully Discrete: Stability of Runge--Kutta Schemes by The Energy Method
- Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs
- Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation
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