Exponentially Convergent Algorithms for Abstract Differential Equations

• Main Authors: Gavrilyuk, Ivan (Author), Makarov, Volodymyr (Author), Vasylyk, Vitalii (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel, 2011.
• Series: Frontiers in Mathematics,
• Subjects: Mathematics.; Mathematics, general.

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 practical scientific computing since the equations under consideration can be seen as the met...

Table of Contents:

• Preface
• 1 Introduction
• 2 Preliminaries
• 3 The first-order equations
• 4 The second-order equations
• Appendix: Tensor-product approximations of the operator exponential
• Bibliography
• Index.