Solving stiff differential equations for simulation

DOI10.1016/0378-4754(81)90052-5zbMath0473.65041OpenAlexW2065644273MaRDI QIDQ1158736

S. H. Smith

Publication date: 1981

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(81)90052-5

zbMATH Keywords

Rosenbrock methodsorder conditionsstiffnessimplicit Runge-Kutta methodssimulation of a blast-wave laser

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Uses Software

• DIFSUB

Cites Work

• Unnamed Item
• Rosenbrock methods for stiff ODEs: A comparison of Richardson extrapolation and embedding technique
• On the Butcher group and general multi-value methods
• On an L-stable method for stiff differential equations
• A Note on the Rosenbrock Procedure
• Some general implicit processes for the numerical solution of differential equations
• On the implementation of implicit Runge-Kutta methods
• Some A -Stable and L -Stable Methods for the Numerical Integration of Stiff Ordinary Differential Equations
• The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form
• A Method for the Numerical Integration of Coupled First-Order Differential Equations with Greatly Different Time Constants
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
• Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
• Implicit Runge-Kutta Processes

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