Two-step almost collocation methods for ordinary differential equations

R. D'Ambrosio, M. Ferro, Zdzislaw Jackiewicz, B. Paternoster

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

A new class of two-step Runge-Kutta methods for the numerical solution of ordinary differential equations is proposed. These methods are obtained using the collocation approach by relaxing some of the collocation conditions to obtain methods with desirable stability properties. Local error estimation for these methods is also discussed.

Original languageEnglish (US)
Pages (from-to)195-217
Number of pages23
JournalNumerical Algorithms
Volume53
Issue number2-3
DOIs
StatePublished - Jan 2010

Fingerprint

Runge Kutta methods
Convergence of numerical methods
Collocation Method
Ordinary differential equations
Error analysis
Ordinary differential equation
Collocation
Local Error Estimation
Two-step Runge-Kutta Methods
Numerical Solution

Keywords

  • A-stability
  • Absolute stability
  • Local error estimation
  • Order conditions
  • Two-step collocation methods

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Two-step almost collocation methods for ordinary differential equations. / D'Ambrosio, R.; Ferro, M.; Jackiewicz, Zdzislaw; Paternoster, B.

In: Numerical Algorithms, Vol. 53, No. 2-3, 01.2010, p. 195-217.

Research output: Contribution to journalArticle

D'Ambrosio, R. ; Ferro, M. ; Jackiewicz, Zdzislaw ; Paternoster, B. / Two-step almost collocation methods for ordinary differential equations. In: Numerical Algorithms. 2010 ; Vol. 53, No. 2-3. pp. 195-217.
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