A block method for the numerical integration of stiff systems of ordinary differential equations

DOI10.1007/BF01931259zbMath0423.65041MaRDI QIDQ3857682

J. E. Bond, Jeff R. Cash

Publication date: 1979

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

stiff systemstest problemsblock methodfirst order ordinary differential equationshighly accurate integration schemesinfinite regions of absolute stability

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 (6)

Functionally-fitted block methods for second order ordinary differential equations ⋮ Second derivative of high-order accuracy methods for the numerical integration of stiff initial value problems ⋮ Functionally-fitted block \( \theta \)-methods for ordinary differential equations ⋮ Continuous block implicit hybrid one-step methods for ordinary and delay differential equations ⋮ Two-step second-derivative high-order methods with two off-step points for solution of stiff systems ⋮ Functionally-fitted block methods for ordinary differential equations

Uses Software

• GEAR

Cites Work

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• Comparing numerical methods for stiff systems of O.D.E:s
• A Class of Iterative Algorithms for the Integration of Stiff Systems of Ordinary Differential Equations
• On a class of cyclic methods for the numerical integration of stiff systems of O.D.E.s
• A Note on a Class of Modified Backward Differentiation Schemes
• On smoothing and extrapolation for the trapezoidal rule

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