Nonstandard Finite Difference Models Of Differential Equations
eBook - PDF

Nonstandard Finite Difference Models Of Differential Equations

Ronald E Mickens

  1. 264 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Nonstandard Finite Difference Models Of Differential Equations

Ronald E Mickens

Book details
Table of contents
Citations

About This Book

This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of differential equations. The major thrust of the book is to show that discrete models of differential equations exist such that the elementary types of numerical instabilities do not occur. A consequence of this result is that in general bigger step-sizes can often be used in actual calculations and/or finite difference schemes can be constructed that are conditionally stable in many instances whereas in using standard techniques no such schemes exist. The theoretical basis of this work is centered on the concepts of "exact" and "best" finite difference schemes. In addition, a set of rules is given for the discrete modeling of derivatives and nonlinear expressions that occur in differential equations. These rules often lead to a unique nonstandard finite difference model for a given differential equation.

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Information

Publisher
World Scientific
Year
1993
ISBN
9789814440882
Topic
Mathematics
Subtopic
Differential Equations
Index
Mathematics

Table of contents

Citation styles for Nonstandard Finite Difference Models Of Differential Equations

APA 6 Citation

[author missing]. (1993). Nonstandard Finite Difference Models Of Differential Equations ([edition unavailable]). World Scientific Publishing Company. Retrieved from https://www.perlego.com/book/845372/nonstandard-finite-difference-models-of-differential-equations-pdf (Original work published 1993)

Chicago Citation

[author missing]. (1993) 1993. Nonstandard Finite Difference Models Of Differential Equations. [Edition unavailable]. World Scientific Publishing Company. https://www.perlego.com/book/845372/nonstandard-finite-difference-models-of-differential-equations-pdf.

Harvard Citation

[author missing] (1993) Nonstandard Finite Difference Models Of Differential Equations. [edition unavailable]. World Scientific Publishing Company. Available at: https://www.perlego.com/book/845372/nonstandard-finite-difference-models-of-differential-equations-pdf (Accessed: 14 October 2022).

MLA 7 Citation

[author missing]. Nonstandard Finite Difference Models Of Differential Equations. [edition unavailable]. World Scientific Publishing Company, 1993. Web. 14 Oct. 2022.