| The Concept of Stability in Numerical Mathematics Softcover Repri Edition Contributor(s): Hackbusch, Wolfgang (Author) |
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ISBN: 3662513714 ISBN-13: 9783662513712 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: August 2016 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Number Systems - Mathematics | Mathematical Analysis |
| Dewey: 515.353 |
| Series: Springer Computational Mathematics |
| Physical Information: 0.44" H x 6.14" W x 9.21" (0.65 lbs) 188 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations. In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.
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