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Richardson Extrapolation: Practical Aspects and Applications
Hardcover
Series: de Gruyter Applied and Numerical Mathematics, Book 2
ISBN13: 9783110516494
Publisher: De Gruyter
Published: Nov 7 2017
Pages: 309
Weight: 1.53
Height: 0.75 Width: 6.69 Depth: 9.61
Language: English
Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes. A third issue, the stability of the computations, is very often the most important one and, therefore, it is the major topic studied in all chapters of this book.
Contents
The basic properties of Richardson extrapolation
Richardson extrapolation for explicit Runge-Kutta methods
Linear multistep and predictor-corrector methods
Richardson extrapolation for some implicit methods
Richardson extrapolation for splitting techniques
Richardson extrapolation for advection problems
Richardson extrapolation for some other problems
General conclusions
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