Superconvergent Deferred Correction Methods For First Order Systems of Nonlinear Two-Point Boundary Value Problems

DOI10.1137/S1064827599362004zbMath0981.65088OpenAlexW2009087626MaRDI QIDQ2706461

Marnix van Daele, Jeff R. Cash

Publication date: 19 March 2001

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827599362004

zbMATH Keywords

stabilitysuperconvergencetwo-point boundary value problemsdeferred correctionmono-implicit Runge-Kutta formula

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (max. 100)

Algebraic conditions for high-order convergent deferred correction schemes based on Runge-Kutta-Nyström methods for second order boundary value problems ⋮ High-order convergent deferred correlation schemes based on parameterized Runge-Kutta-Nyström methods for second-order boundary value problems ⋮ A highly stable deferred correction scheme with interpolant for systems of nonlinear two-point boundary value problems

This page was built for publication: Superconvergent Deferred Correction Methods For First Order Systems of Nonlinear Two-Point Boundary Value Problems