Implementation of defect correction methods for stiff differential equations

DOI10.1007/BF02252129zbMath0423.65042OpenAlexW428915408MaRDI QIDQ1134498

Christoph W. Ueberhuber

Publication date: 1979

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252129

zbMATH Keywords

numerical resultsstiff differential equationsdefect correction methodspractical implementationsstiff systems of ordinary differential equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (4)

B-convergence properties of defect correction methods. I, II ⋮ Comparison of some recent numerical methods for initial-value problems for stiff ordinary differential equations ⋮ The application of iterated defect correction to variational methods for elliptic boundary value problems ⋮ Iterated defect correction of differential equations. II: Numerical experiments

Uses Software

• GEAR

Cites Work

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• On the order of iterated defect correction. An algebraic proof
• On the estimation of errors propagated in the numerical integration of ordinary differential equations
• The defect correction principle and discretization methods
• Iterated defect correction for differential equations. I: Theoretical results
• Stability properties of Adams codes
• On Testing a Subroutine for the Numerical Integration of Ordinary Differential Equations
• Comparing numerical methods for stiff systems of O.D.E:s
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• Global Error Estimates for Ordinary Differential Equations
• Solving Nonstiff Ordinary Differential Equations—The State of the Art
• The control of order and steplength for backward differentiation methods
• Iterated defect correction for the efficient solution of stiff systems of ordinary differential equations
• A stiffly stable integration process using cyclic composite methods

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