A stiffly stable integration process using cyclic composite methods

DOI10.1145/356502.356495zbMath0409.65034OpenAlexW2095513323WikidataQ111900508 ScholiaQ111900508MaRDI QIDQ4197301

Theodore A. Bickart, Joel M. Tendler, Zdenek Picel

Publication date: 1978

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/356502.356495

zbMATH Keywords

Ordinary Differential EquationsInitial Value ProblemsStability PropertiesMultistep MethodsNumerical ExperimentsNumerical IntegrationFortran ProgramStiff Differential EquationsCyclic MethodsComposite Multistep MethodsMultistep FormulasNumerical Integration ProgramStiffly Stable MethodsVariable Order MethodVariable Step

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items

The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae, The dichotomy of stiffness: Pragmatism versus theory, Efficiently implementable multivalue methods for solving stiff ordinary differential equations, Implementation of defect correction methods for stiff differential equations, \(A(\alpha)\)-stable cyclic composite multistep methods of order 5, Bibliography on the evaluation of numerical software, Stiff ODE solvers: A review of current and coming attractions, Recent advances in methods for numerical solution of O.D.E. initial value problems, P-stable and P[\(\alpha\),\(\beta\)-stable integration/interpolation methods in the solution of retarded differential-difference equations], A (α)-Stable Cyclic Composite Multistep Methods of Orders 6 and 7 for Numerical Integration of Stiff Ordinary Differential Equations

Uses Software

• DIFSUB