Symbolic Manipulation of Flows of Nonlinear Evolution Equations, with Application in the Analysis of Split-Step Time Integrators

DOI10.1007/978-3-319-45641-6_4zbMath1453.65116arXiv1605.00453OpenAlexW2346213557MaRDI QIDQ2829990

Harald Hofstätter, Winfried Auzinger, Othmar Koch

Publication date: 9 November 2016

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00453

zbMATH Keywords

symbolic computationtime integrationsplitting methodsnonlinear evolution equationsJulia language

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Abstract parabolic equations (35K90) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Computer aspects of numerical algorithms (65Y99) Numerical solutions to abstract evolution equations (65J08)

Related Items (1)

Flows

Uses Software

• OEIS
• Julia
• GitHub

Cites Work

• Unnamed Item
• Defect-based local error estimators for splitting methods, with application to Schrödinger equations. III: The nonlinear case
• Solving Ordinary Differential Equations I
• Geometric Numerical Integration

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