A comparison of boundary correction methods for Strang splitting
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Publication:1670354
DOI10.3934/dcdsb.2018081zbMath1397.65155arXiv1609.05505OpenAlexW2523033808MaRDI QIDQ1670354
Lukas Einkemmer, Alexander Ostermann
Publication date: 5 September 2018
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.05505
KdV equations (Korteweg-de Vries equations) (35Q53) Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solutions to abstract evolution equations (65J08)
Related Items (4)
Comparison of efficiency among different techniques to avoid order reduction with Strang splitting ⋮ A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems ⋮ Efficient boundary corrected Strang splitting ⋮ BAMPHI: matrix-free and transpose-free action of linear combinations of \(\varphi\)-functions from exponential integrators
Uses Software
Cites Work
- Unnamed Item
- Quantification of errors for operator-split advection-diffusion calculations
- High-order Hamiltonian splitting for the Vlasov-Poisson equations
- Geometric numerical integration and Schrödinger equations
- Hamiltonian splitting for the Vlasov-Maxwell equations
- A splitting approach for the Kadomtsev-Petviashvili equation
- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
- Operator splitting and approximate factorization for taxis-diffusion-reaction models
- An asymptotic preserving scheme for the relativistic Vlasov-Maxwell equations in the classical limit
- A note on splitting errors for advection-reaction equations
- Exponential integrators for quantum-classical molecular dynamics
- Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods
- Avoiding order reduction when integrating nonlinear Schrödinger equation with Strang method
- A drift-kinetic semi-Lagrangian 4D code for ion turbulence simulation
- Convergence of a splitting method of high order for reaction-diffusion systems
- Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 2: Oblique Boundary Conditions
- On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
- Fourth Order Time-Stepping for Kadomtsev–Petviashvili and Davey–Stewartson Equations
- Numerical Methods Based on Additive Splittings for Hyperbolic Partial Differential Equations
- The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error
- Operator splitting for partial differential equations with Burgers nonlinearity
- Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions
- Convergence Analysis of Strang Splitting for Vlasov-Type Equations
- Error analysis of exponential integrators for oscillatory second-order differential equations
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