The examination of nonlinear stability and solvability of the algebraic equations for the implicit Taylor series method

DOI10.1016/S0168-9274(98)00059-2zbMath0927.65103MaRDI QIDQ1294500

Hans-Eberhard Scholz

Publication date: 25 November 1999

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

stiff systemsnonlinear stabilityimplicit Taylor series methodObreschkoff methods

Mathematics Subject Classification ID

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)

Related Items (1)

Implicit Taylor methods for parabolic problems with nonsmooth data and applications to optimal heat control

Cites Work

• One-step methods of hermite type for numerical integration of stiff systems
• Numerical Integration of Systems of Stiff Nonlinear Differential Equations
• Computational differentiation: techniques, applications, and tools
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