Read e-book online Linear Discrete Parabolic Problems (North-Holland PDF

By Nikolai Bakaev

ISBN-10: 0444521402

ISBN-13: 9780444521408

This quantity introduces a unified, self-contained learn of linear discrete parabolic difficulties via lowering the beginning discrete challenge to the Cauchy challenge for an evolution equation in discrete time. available to starting graduate scholars, the booklet features a basic balance thought of discrete evolution equations in Banach house and provides purposes of this idea to the research of assorted periods of contemporary discretization tools, between others, Runge-Kutta and linear multistep equipment in addition to operator splitting methods.

Key features:

* offers a unified method of analyzing discretization equipment for parabolic equations.
* Highlights a balance thought of discrete evolution equations (discrete semigroups) in Banach area.
* bargains with either self sufficient and non-autonomous equations in addition to with equations with reminiscence.
* deals a sequence of diverse well-posedness and convergence effects for varied discretization equipment as utilized to summary parabolic equations; between others, Runge-Kutta and linear multistep equipment in addition to yes operator splitting equipment.
* presents reviews of effects and old comments after every one chapter.

· offers a unified method of analyzing discretization tools for parabolic equations.
· Highlights a balance idea of discrete evolution equations (discrete semigroups) in Banach space.
· bargains with either self sustaining and non-autonomous equations in addition to with equations with memory.
· deals a chain of various well-posedness and convergence effects for numerous discretization equipment as utilized to summary parabolic equations; between others, Runge-Kutta and linear multistep tools in addition to definite operator splitting equipment in addition to convinced operator splitting equipment are studied in detail.
·Provides reviews of effects and old comments after each one chapter.

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


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