Smoothing effects on the IMR and ITR

R. P K Chan, Noorhelyna Razali

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper is a study of the effects of smoothing on the implicit midpoint rule (IMR) and the implicit trapezoidal rule (ITR) with implications for extrapolation of the numerical solution of ordinary differential equations. We extend the study of the well-known smoothing formula of Gragg to a two-step smoothing formula and compare the effectiveness of their use with the IMR and ITR for nonstiff and strongly stiff cases. We present an analysis of the Prothero-Robinson problem and as well as experimental results on linear and nonlinear problems.

Original languageEnglish
Pages (from-to)401-420
Number of pages20
JournalNumerical Algorithms
Volume65
Issue number3
DOIs
Publication statusPublished - Mar 2014

Fingerprint

Midpoint rule
Smoothing Effect
Trapezoidal Rule
Extrapolation
Ordinary differential equations
Smoothing
Nonlinear Problem
Ordinary differential equation
Numerical Solution
Experimental Results

Keywords

  • Active
  • Extrapolation
  • Implicit midpoint rule
  • Implicit trapezoidal rule
  • Passive
  • Smoothing

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Smoothing effects on the IMR and ITR. / Chan, R. P K; Razali, Noorhelyna.

In: Numerical Algorithms, Vol. 65, No. 3, 03.2014, p. 401-420.

Research output: Contribution to journalArticle

Chan, R. P K ; Razali, Noorhelyna. / Smoothing effects on the IMR and ITR. In: Numerical Algorithms. 2014 ; Vol. 65, No. 3. pp. 401-420.
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