A self-adaptive time integration algorithm for solving partial differential equations

DOI10.1016/S0096-3003(97)81664-5zbMath0907.65081OpenAlexW2080813207MaRDI QIDQ1126657

Xinglai Zhuang, Jian-Ping Zhu, Wan-xie Zhong

Publication date: 18 February 1999

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(97)81664-5

zbMATH Keywords

complexitystabilitynumerical examplefinite difference schemecomputational efficiencynon-uniform spatial gridsnonlinear Burgers equationadaptive time integration method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15)

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Cites Work

• Computational fluid dynamics on parallel processors
• A three-dimensional Euler code for calculating flow fields in centrifugal compressor diffusers
• Explicit and implicit solution of the Navier-Stokes equations on a massively parallel computer
• A Space-Time Multigrid Method for Parabolic Partial Differential Equations
• Super-time-stepping acceleration of explicit schemes for parabolic problems
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