Multiderivative Runge-Kutta processes for two-point boundary value problems

DOI10.1007/BF01935000zbMath0569.65061MaRDI QIDQ1060824

Suchitra Gupta

Publication date: 1985

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

numerical examplesfinite difference schemesorder conditionsembedded methodsgap schememultiderivative Runge-Kutta process

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

• Unnamed Item
• Multistep-multistage-multiderivative methods for ordinary differential equations
• Improving the accuracy of finite difference methods for solving boundary value ordinary differential equations
• On the Butcher group and general multi-value methods
• On Turan type implicit Runge-Kutta methods
• An Adaptive Boundary Value Runge–Kutta Solver for First Order Boundary Value Problems
• Efficient higher order implicit one-step methods for integration of stiff differential equations
• The Application of Implicit Runge-Kutta and Collocation Methods to Boundary-Value Problems
• High order a-stable methods for the numerical solution of systems of D.E.'s
• Implicit Runge-Kutta Processes

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