Strong stability results for the hopscotch method with applications to bending beam equations

DOI10.1007/BF02259092zbMath0663.65091OpenAlexW170294765MaRDI QIDQ1115155

Gerard L. G. Sleijpen

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02259092

zbMATH Keywords

stabilitynumerical experimentserror propagationrecursionhopscotch method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

Hopscotch method: The numerical solution of the Frank-Kamenetskii partial differential equation, Further results on the convergence behavior of conjugate-gradients and Ritz values

Uses Software

• Hopscotch

Cites Work

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• A convergence analysis of hopscotch methods for fourth order parabolic equations
• Linear stability of the hopscotch scheme
• A New Group Hopscotch Method for the Numerical Solution of Partial Differential Equations
• Block Hopscotch Procedures for Second Order Parabolic Differential Equations
• An Alternating Direction Method for Operator Equations
• Hopscotch: a Fast Second-order Partial Differential Equation Solver