| 书目名称 | Exponentially Convergent Algorithms for Abstract Differential Equations |
| 编辑 | Ivan Gavrilyuk,Volodymyr Makarov,Vitalii Vasylyk |
| 视频video | |
| 概述 | Contains the first comprehensive and unified theory of exponentially convergent numerical methods for the differential equations with operator coefficients including many important PDEs as particular |
| 丛书名称 | Frontiers in Mathematics |
| 图书封面 |  |
| 描述 | .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 meta-models of systems of ordinary differential equations (ODE) as well as of 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 then can be applied to mathematical models of the real world. The problem class includes initial value problems (IVP) for first order differential equations with constant and variable unbounded operator coefficients in a Banach space (the heat equation is a simple example), boundary value problems for the second order elliptic differential equation with an operator coefficient (e.g. the Laplace equation), IVPs for the second order strongly damped differential equation as well as exponentially convergent methods to IVPs for the first order nonlinear differential equation with unbounded operator co |
| 出版日期 | Book 2011 |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0119-5 |
| isbn_softcover | 978-3-0348-0118-8 |
| isbn_ebook | 978-3-0348-0119-5Series ISSN 1660-8046 Series E-ISSN 1660-8054 |
| issn_series | 1660-8046 |
| copyright | Springer Basel AG 2011 |
发表于 2025-3-21 18:19:39
