An almost symmetric Strang splitting scheme for nonlinear evolution equations
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Publication:2013722
DOI10.1016/j.camwa.2014.02.027zbMath1368.65074arXiv1309.4305OpenAlexW2592358629WikidataQ42076502 ScholiaQ42076502MaRDI QIDQ2013722
Lukas Einkemmer, Alexander Ostermann
Publication date: 9 August 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.4305
Nonlinear first-order PDEs (35F20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solutions to abstract evolution equations (65J08)
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Uses Software
Cites Work
- Unnamed Item
- Splitting methods with complex times for parabolic equations
- High order splitting methods for analytic semigroups exist
- Error bounds for exponential operator splittings
- On the necessity of negative coefficients for operator splitting schemes of order higher than two
- A Hölder continuous nowhere improvable function with derivative singular distribution
- Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation
- An almost symmetric Strang splitting scheme for the construction of high order composition methods
- On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
- Fourth Order Time-Stepping for Kadomtsev–Petviashvili and Davey–Stewartson Equations
- The initial-value problem for the Korteweg-de Vries equation
- On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
- Operator splitting for partial differential equations with Burgers nonlinearity
- Convergence Analysis of Strang Splitting for Vlasov-Type Equations
- Geometric Numerical Integration
- Korteweg-deVries equation, I. Global existence of smooth solutions
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