A piecewise-linearized algorithm based on the Krylov subspace for solving stiff ODEs

DOI10.1016/j.cam.2010.07.012zbMath1211.65091OpenAlexW2083727112MaRDI QIDQ629406

Enrique Arias, Pedro A. Ruiz, Vicente G. Hernández, Jacinto-Javier Ibáñez

Publication date: 9 March 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.07.012

zbMATH Keywords

Padé approximantsKrylov subspaceordinary differential equation (ODE)linear differential equation (LDE)piecewise-linearized methods

Mathematics Subject Classification ID

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

Related Items (1)

On the closed representation for the inverses of Hessenberg matrices

Uses Software

• Expokit
• Matlab
• ScaLAPACK
• VODE
• BLAS
• RODAS
• DIFSUB
• LSODE
• bvp4c
• MPI

Cites Work

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• Solving initial value problems for ordinary differential equations by two approaches: BDF and piecewise-linearized methods
• Chemical instabilities and sustained oscillations
• A new eighth-order A-stable method for solving differential systems arising in chemical reac\-tions
• Piecewise-linearized methods for initial-value problems
• Piecewise-linearized and linearized \(\vartheta\)-methods for ordinary and partial differential equations.
• VODE: A Variable-Coefficient ODE Solver
• Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
• Expokit
• ScaLAPACK Users' Guide
• The Order of Numerical Methods for Ordinary Differential Equations
• Solving ODEs with MATLAB
• Integration of Stiff Equations

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