Topic
Bulirsch–Stoer algorithm
About: Bulirsch–Stoer algorithm is a research topic. Over the lifetime, 94 publications have been published within this topic receiving 3007 citations.
Papers published on a yearly basis
Papers
TL;DR: In this paper, a general methodology for multidimensional extrapolation is presented, which assumes a level set function exists which separates the region of known values from the region to be extrapolated, and it is shown that arbitrary orders of polynomial extrapolation can be formulated by simply solving a series of linear partial differential equations.
267 citations
TL;DR: The paper is intended to give a survey on the state-of-the-art of extrapolation methods for initial value problems in ordinary differential equation systems.
Abstract: The paper is intended to give a survey on the state-of-the-art of extrapolation methods for initial value problems in ordinary differential equation systems. All basic discretizations, which are su...
263 citations
Book•
1 Jan 1964
90 citations
Book•
1 Sep 1995
TL;DR: In this paper, the splitting extrapolation method was used in multidimensional numerical integration applications in numerical solution of integral equations applications in numeric solution of differential equations combination methods for solving boundary integral equations sparse grid technique and combination technique.
Abstract: Introduction - recent developments of Richardson's extrapolation the splitting extrapolation method, applications in multidimensional numerical integration applications in numerical solution of integral equations applications in numerical solution of differential equations combination methods for solving boundary integral equations sparse grid technique and combination technique.
61 citations
TL;DR: Several variants of extrapolation can be used for the solution of partial differential equations as discussed by the authors, such as Richardson extrapolation, truncation error extrapolation and extrapolation of the functional, where the asymptotic expansions in different mesh parameters are exploited.
55 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 1 |
| 2019 | 1 |
| 2018 | 1 |
| 2017 | 2 |
| 2016 | 4 |
| 2015 | 1 |