عنوان

Exponentially convergent algorithms for abstract differential equations

شابک

303480119X (electronic bk.)

شابک

9783034801195 (electronic bk.)

شابک اشتباه

3034801181

شابک اشتباه

9783034801188

شماره

b509397

عنوان اصلي

Exponentially convergent algorithms for abstract differential equations

نام عام مواد

[Book]

نام نخستين پديدآور

Ivan Gavrilyuk, Volodymyr Makarov, Vitalii Vasylyk

محل نشرو پخش و غیره

[New York] :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

c2011

نام خاص و کميت اثر

1 online resource (viii, 180 p.) :

ساير جزييات

ill

عنوان فروست

Frontiers in mathematics

متن يادداشت

Includes bibliographical references and index

متن يادداشت

1. Introduction -- 2. Preliminaries -- 3. The first-order equations -- 4. The second-order equations

بدون عنوان

0

متن يادداشت

"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 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 coefficients. For researchers and students of numerical functional analysis, engineering and other sciences this book provides highly efficient algorithms for the numerical solution of differential equations and applied problems"--P. [4] of cover

عنوان

Exponentially convergent algorithms for abstract differential equations.

شماره استاندارد بين المللي کتاب و موسيقي

9783034801188

عنوان

SpringerLink

موضوع مستند نشده

Differential equations

موضوع مستند نشده

Mathematics

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Gavrilyuk, Ivan P

مستند نام اشخاص تاييد نشده

Makarov, Volodymyr

مستند نام اشخاص تاييد نشده

Vasylyk, Vitalii

تاريخ عمليات

20120425035347.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y