Numerical Integration of Systems of Stiff Nonlinear Differential Equations

DOI10.1002/j.1538-7305.1968.tb02483.xzbMath0221.65128OpenAlexW1971135018MaRDI QIDQ5626191

Sandberg, Irwin W., H. Shichman

Publication date: 1968

Published in: Bell System Technical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/j.1538-7305.1968.tb02483.x

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Multiple scale methods for ordinary differential equations (34E13)

Related Items (9)

A note on monotonicity of a Rosenbrock method ⋮ On the practical value of the notion of BN-stability ⋮ A note on contractivity in the numerical solution of initial value problems ⋮ High-order stiffly stable methods for analysis of non-linear circuits and systems ⋮ Rational approximations to matrix exponential for systems of stiff differential equations ⋮ Stiff systems of kinetic equations - a practitioner's view ⋮ On the existence of solutions to the algebraic equations in implicit Runge-Kutta methods ⋮ The examination of nonlinear stability and solvability of the algebraic equations for the implicit Taylor series method ⋮ Contractivity of locally one-dimensional splitting methods

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