資料來源:
Syndetics
Linear discrete parabolic problems [electronic resource] / Nikolai Yu. Bakaev.
- 作者： Bakaev, Nikolai Yu.
- 出版： Amsterdam ;Boston : Elsevier 2006.
- 叢書名： North-Holland mathematics studies ;203
- 主題： Stability. , Runge-Kutta formulas. , Differential equations , Computer science--Mathematics
- 版本：1st ed.
- ISBN： 9780444521408 (electronic bk.) 、 9780444521408
- URL：
電子書
- 書目註：Includes bibliographical references (p. 269-283) and index.
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讀者標籤：
- 系統號： 005212286 | 機讀編目格式
館藏資訊
This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in Banach space and gives applications of this theory to the analysis of various classes of modern discretization methods, among others, Runge-Kutta and linear multistep methods as well as operator splitting methods. Key features: * Presents a unified approach to examining discretization methods for parabolic equations. * Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. * Deals with both autonomous and non-autonomous equations as well as with equations with memory. * Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods. * Provides comments of results and historical remarks after each chapter. · Presents a unified approach to examining discretization methods for parabolic equations. · Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. · Deals with both autonomous and non-autonomous equations as well as with equations with memory. · Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods as well as certain operator splitting methods are studied in detail. ·Provides comments of results and historical remarks after each chapter.