High-order interpolants for solutionsof two-point boundary value problems using MIRK methods

DOI10.1016/J.CAMWA.2003.06.011zbMath1069.65083OpenAlexW2050835287MaRDI QIDQ1779609

Jeff R. Cash, Daniel R. Moore

Publication date: 1 June 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2003.06.011

zbMATH Keywords

algorithmsnumerical examplesboundary value problemsdifferential equationsinterpolantmono-implicit Runge-Kutta formulaeMIRK formulae

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (2)

New interpolants for asymptotically correct defect control of BVODEs ⋮ Numerical solution of Brillouin and Raman fiber amplifiers using bvp6c

Uses Software

• COLNEW
• PMIRKDC
• MIRKDC
• twpbvp

Cites Work

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• Efficient classes of Runge-Kutta methods for two-point boundary value problems
• General framework, stability and error analysis for numerical stiff boundary value methods
• High order methods for the numerical solution of two-point boundary value problems
• Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems
• An automatic continuation strategy for the solution of singularly perturbed linear two-point boundary value problems
• A Deferred Correction Method for Nonlinear Two-Point Boundary Value Problems: Implementation and Numerical Evaluation
• Interpolation for Runge–Kutta Methods
• A New Basis Implementation for a Mixed Order Boundary Value ODE Solver
• Interpolation Schemes for Collocation Solutions of Two-Point Boundary Value Problems
• An Adaptive Finite Difference Solver for Nonlinear Two-Point Boundary Problems with Mild Boundary Layers
• Superconvergent Interpolants for the Collocation Solution of Boundary Value Ordinary Differential Equations
• Interpolants for Runge-Kutta formulas
• Fourth- and Fifth-Order, Scaled Rungs–Kutta Algorithms for Treating Dense Output
• Runge–Kutta Software with Defect Control for Boundary Value ODE<scp>s</scp>
• A Stable High-Order Interpolation Scheme for Superconvergent Data

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