Linear Discrete Parabolic Problems

Nonfiction, Science & Nature, Mathematics, Discrete Mathematics, Mathematical Analysis
Cover of the book Linear Discrete Parabolic Problems by Nikolai Bakaev, Elsevier Science
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Author: Nikolai Bakaev ISBN: 9780080462080
Publisher: Elsevier Science Publication: December 2, 2005
Imprint: North Holland Language: English
Author: Nikolai Bakaev
ISBN: 9780080462080
Publisher: Elsevier Science
Publication: December 2, 2005
Imprint: North Holland
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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