Improving the efficiency of matrix operations in the numerical solution of large implicit systems of linear differential equations

DOI10.1080/00207178708547408zbMath0628.65052OpenAlexW2029855364MaRDI QIDQ3765127

Chiu H. Choi, Alan J. Laub

Publication date: 1987

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178708547408

zbMATH Keywords

numerical experimentssoftware packagesHessenberg triangular transformationlarge implicit systems of stiff linear differential equations

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Uses Software

• EISPACK

Cites Work

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• Matrix eigensystem routines. EISPACK guide extension
• A User’s View of Solving Stiff Ordinary Differential Equations
• On the efficient and reliable numerical solution of large linear systems of ODE's
• Differential/Algebraic Equations are not ODE’<scp>s</scp>
• Comparing numerical methods for stiff systems of O.D.E:s
• On a dangerous property of methods for stiff differential equations
• Numerical Computation of the Matrix Exponential with Accuracy Estimate
• Comparing Numerical Methods for Ordinary Differential Equations

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