Exponentially Convergent Algorithms for Abstract Differential Equations
This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for the practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as the partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows …
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- Full title :Exponentially Convergent Algorithms for Abstract Differential Equations.
Summary
This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for the practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as the partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows one to obtain very general but at the same time transparent algorithms and mathematical results which.
Read More ↓Edition Statements
- Publication Date:2011.
Publication Statements
- Publisher(s):Springer Basel
- Place of Publication:Basel
- Language:eng
- Publication Date:2011.
The Physical Object
- Description:1 online resource (186 pages).
Edition Identifiers
- ISBN:3034801181, 9783034801188
- DOI:10.1007/978-3-0348-0119-5
- oclc:ocn990679393
- LC Classification:QA377
- Dewey Decimal:515.35
Table of Contents
Exponentially Convergent Algorithms for Abstract Differential Equations; Preface; Contents; Chapter 1 Introduction; Chapter 2 Preliminaries; Chapter 3 The first-order equations; Chapter 4 The second-order equations; Appendix: Tensor-product approximations of the operator exponential; Bibliography; Index.
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