What Is convergence acceleration anyway?

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

The concept of convergence acceleration is presented through two examples of its application to very different physics. The first is for self-assembly of misfolded proteins described by moments of the filament length distribution. With convergence acceleration, highly accurate moments can be found, as confirmed by a manufactured solution, leading to a more accurate estimate of spongiform disease onset. The second application considers the transient behavior of a nuclear reactor. Here, the reactor kinetics equations (RKE) are solved to extreme accuracy as demonstrated by comparison to analytical and manufactured solutions. From our investigation, we conclude that with some added initiative and effort, extreme accuracy in a numerical computation involving discretization is achievable through convergence acceleration.

Original languageEnglish (US)
Title of host publicationIntegral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques
PublisherSpringer New York
Pages115-136
Number of pages22
ISBN (Print)9781461478287, 9781461478270
DOIs
StatePublished - Jan 1 2013

Fingerprint

Convergence Acceleration
Extremes
Acceleration of Convergence
Moment
Nuclear Reactor
Transient Behavior
Self-assembly
Filament
Kinetic Equation
Numerical Computation
Reactor
Discretization
Physics
Protein
Estimate
Concepts

Keywords

  • Proteinaceous aggregation
  • Reactor kinetics
  • Richardson extrapolation
  • Wynn-epsilon acceleration

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Ganapol, B. D. (2013). What Is convergence acceleration anyway? In Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques (pp. 115-136). Springer New York. https://doi.org/10.1007/978-1-4614-7828-7_9

What Is convergence acceleration anyway? / Ganapol, Barry D.

Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques. Springer New York, 2013. p. 115-136.

Research output: Chapter in Book/Report/Conference proceedingChapter

Ganapol, BD 2013, What Is convergence acceleration anyway? in Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques. Springer New York, pp. 115-136. https://doi.org/10.1007/978-1-4614-7828-7_9
Ganapol BD. What Is convergence acceleration anyway? In Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques. Springer New York. 2013. p. 115-136 https://doi.org/10.1007/978-1-4614-7828-7_9
Ganapol, Barry D. / What Is convergence acceleration anyway?. Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques. Springer New York, 2013. pp. 115-136
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