Efficient boundary corrected Strang splitting
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Publication:2333225
DOI10.1016/j.amc.2018.03.006zbMath1427.65087arXiv1711.02193OpenAlexW2767225777MaRDI QIDQ2333225
Lukas Einkemmer, Martina Moccaldi, Alexander Ostermann
Publication date: 12 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.02193
Dirichlet boundary conditionsNeumann boundary conditionsdiffusion-reaction equationsStrang splittingovercoming order reduction
Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Numerical solutions to abstract evolution equations (65J08)
Related Items (5)
A \(\mu\)-mode integrator for solving evolution equations in Kronecker form ⋮ An efficient high-order compact finite difference scheme based on proper orthogonal decomposition for the multi-dimensional parabolic equation ⋮ Comparison of efficiency among different techniques to avoid order reduction with Strang splitting ⋮ Strang Splitting Method for Semilinear Parabolic Problems With Inhomogeneous Boundary Conditions: A Correction Based on the Flow of the Nonlinearity ⋮ A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems
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- Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions
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