Additive Runge-Kutta Schemes for Convection-Diffusion-Reaction Equations
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TLDR
Additive Runge-Kutta (ARK) methods are investigated for application to the spatially discretized one-dimensional convection-diffusion-reaction (CDR) equations and results for the fifth-order method are disappointing, but both the new third- and fourth-order methods are at least as efficient as existing ARK2 methods.About:
This article is published in Applied Numerical Mathematics.The article was published on 2003-01-01 and is currently open access. It has received 709 citations till now. The article focuses on the topics: Runge–Kutta methods & Numerical stability.read more
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Journal Article
The On-Line Encyclopedia of Integer Sequences.
TL;DR: The On-Line Encyclopedia of Integer Sequences (OEIS) as mentioned in this paper is a database of 13,000 number sequences and is freely available on the Web (http://www.att.com/~njas/sequences/) and is widely used.
Book ChapterDOI
The On-Line Encyclopedia of Integer Sequences
TL;DR: The On-Line Encyclopedia of Integer Sequences (or OEIS) is a database of some 130000 number sequences which serves as a dictionary, to tell the user what is known about a particular sequence and is widely used.
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TL;DR: Preface How to Get the Software How to get the Software Part I.
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Numerical Methods for Ordinary Differential Systems: The Initial Value Problem
TL;DR: In this paper, the authors introduce numerical methods for nonlinear stability theory and linear multi-step methods for linear stability theory, including Predictor-Corrector Methods and Runge-Kutta Methods.
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