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Linear Discrete Parabolic Problems - (North-Holland Mathematics Studies) by  Nikolai Bakaev (Hardcover) - 1 of 1

Linear Discrete Parabolic Problems - (North-Holland Mathematics Studies) by Nikolai Bakaev (Hardcover)

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Highlights

  • 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.
  • Author(s): Nikolai Bakaev
  • 302 Pages
  • Mathematics, Mathematical Analysis
  • Series Name: North-Holland Mathematics Studies

Description



Book Synopsis



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.



Review Quotes




"Although this book is dealing only with linear probelms its acheivements are significant also for studying numerical methods for nonlinear parabolic equations. The main topic of the book is focused on problems of discretization abstract parabolic equations but there are also parts for example the problems with memory term and these results can be used also to parabolic partial differential and integro-differential equations." --ZENTRALBLATT MATH DATABASE, 1931-2007
Dimensions (Overall): 9.74 Inches (H) x 6.58 Inches (W) x .66 Inches (D)
Weight: 1.5 Pounds
Suggested Age: 22 Years and Up
Number of Pages: 302
Genre: Mathematics
Sub-Genre: Mathematical Analysis
Series Title: North-Holland Mathematics Studies
Publisher: North-Holland
Format: Hardcover
Author: Nikolai Bakaev
Language: English
Street Date: February 1, 2006
TCIN: 1006474432
UPC: 9780444521408
Item Number (DPCI): 247-24-4883
Origin: Made in the USA or Imported
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Shipping details

Estimated ship dimensions: 0.66 inches length x 6.58 inches width x 9.74 inches height
Estimated ship weight: 1.5 pounds
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