Exponentially Convergent Algorithms for Abstract Differential Equations
By: by Ivan Gavrilyuk, Volodymyr Makarov, Vitalii Vasylyk
Contributors: Makarov, Volodymyr; Vasylyk, Vitalii; SpringerLink (Online service)
Series: Frontiers in Mathematics
Publisher: Springer Basel AG
Published: 2011
Place of publication: Basel
Language: eng
Format: [electronic resource] /
Number of pages: 180
ISBN-13: 9783034801188; 9783034801195
Subjects: Mathematics
Description: 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