The Cauchy problem as a problem of the continuation of a solution with respect to a parameter

zbMath0818.65062MaRDI QIDQ1842293

E. B. Kuznetsov, V. I. Shalashilin

Publication date: 15 May 1995

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

stabilityCauchy problemordinary differential equationstransformationstiff systemEuler's methodcontinuation of the solution

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multiple scale methods for ordinary differential equations (34E13)

Related Items (7)

The Cauchy problem for mechanical systems with a finite number of degrees of freedom as a problem of continuation with respect to the best parameter ⋮ Implicit algorithms for solving the Cauchy problem for the equations of the dynamics of mechanical systems ⋮ Unnamed Item ⋮ Parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points ⋮ Estimating the domain of absolute stability of a numerical scheme based on the method of solution continuation with respect to a parameter for solving stiff initial value problems ⋮ On implicit algorithms of continuation method with applications to dynamic systems. ⋮ Transformation of equations with retarded argument to equations with the best argument

This page was built for publication: The Cauchy problem as a problem of the continuation of a solution with respect to a parameter