Share

Evolution Equations And Approximations

2002-05-24 Mathematics
Download Evolution Equations And Approximations PDF Online Free

Author :
Release : 2002-05-24
Genre : Mathematics
Kind : eBook
Book Rating : 380/5 ( reviews)

GET EBOOK


Book Synopsis Evolution Equations And Approximations by : Kazufumi Ito

Download or read book Evolution Equations And Approximations written by Kazufumi Ito. This book was released on 2002-05-24. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems.The implicit finite difference method of Euler is shown to generate a sequence convergent to the unique integral solution of evolution equations of the maximal monotone type. Moreover, the Chernoff theory provides a sufficient condition for consistent and stable time integration of time-dependent nonlinear equations. The Trotter-Kato theorem and the Lie-Trotter type product formula give a mathematical framework for the convergence analysis of numerical approximations of solutions to a general class of partial differential equations. This book contains examples demonstrating the applicability of the generation as well as the approximation theory.In addition, the Kobayashi-Oharu approach of locally quasi-dissipative operators is discussed for homogeneous as well as nonhomogeneous equations. Applications to the delay differential equations, Navier-Stokes equation and scalar conservation equation are given.

Evolution Equations and Approximations

2002 Science
Download Evolution Equations and Approximations PDF Online Free

Author :
Release : 2002
Genre : Science
Kind : eBook
Book Rating : 265/5 ( reviews)

GET EBOOK


Book Synopsis Evolution Equations and Approximations by : Kazufumi Ito

Download or read book Evolution Equations and Approximations written by Kazufumi Ito. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: Annotation Ito (North Carolina State U.) and Kappel (U. of Graz, Austria) offer a unified presentation of the general approach for well-posedness results using abstract evolution equations, drawing from and modifying the work of K. and Y. Kobayashi and S. Oharu. They also explore abstract approximation results for evolution equations. Their work is not a textbook, but they explain how instructors can use various sections, or combinations of them, as a foundation for a range of courses. Annotation copyrighted by Book News, Inc., Portland, OR

Strong and Weak Approximation of Semilinear Stochastic Evolution Equations

2013-11-18 Mathematics
Download Strong and Weak Approximation of Semilinear Stochastic Evolution Equations PDF Online Free

Author :
Release : 2013-11-18
Genre : Mathematics
Kind : eBook
Book Rating : 318/5 ( reviews)

GET EBOOK


Book Synopsis Strong and Weak Approximation of Semilinear Stochastic Evolution Equations by : Raphael Kruse

Download or read book Strong and Weak Approximation of Semilinear Stochastic Evolution Equations written by Raphael Kruse. This book was released on 2013-11-18. Available in PDF, EPUB and Kindle. Book excerpt: In this book we analyze the error caused by numerical schemes for the approximation of semilinear stochastic evolution equations (SEEq) in a Hilbert space-valued setting. The numerical schemes considered combine Galerkin finite element methods with Euler-type temporal approximations. Starting from a precise analysis of the spatio-temporal regularity of the mild solution to the SEEq, we derive and prove optimal error estimates of the strong error of convergence in the first part of the book. The second part deals with a new approach to the so-called weak error of convergence, which measures the distance between the law of the numerical solution and the law of the exact solution. This approach is based on Bismut’s integration by parts formula and the Malliavin calculus for infinite dimensional stochastic processes. These techniques are developed and explained in a separate chapter, before the weak convergence is proven for linear SEEq.

Approximation of Nonlinear Evolution Systems

1983-04-22 Computers
Download Approximation of Nonlinear Evolution Systems PDF Online Free

Author :
Release : 1983-04-22
Genre : Computers
Kind : eBook
Book Rating : 70X/5 ( reviews)

GET EBOOK


Book Synopsis Approximation of Nonlinear Evolution Systems by : Jerome

Download or read book Approximation of Nonlinear Evolution Systems written by Jerome. This book was released on 1983-04-22. Available in PDF, EPUB and Kindle. Book excerpt: Approximation of Nonlinear Evolution Systems

Classically Unstable Approximations for Linear Evolution Equations and Applications

2000
Download Classically Unstable Approximations for Linear Evolution Equations and Applications PDF Online Free

Author :
Release : 2000
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

GET EBOOK


Book Synopsis Classically Unstable Approximations for Linear Evolution Equations and Applications by : Yu Zhuang

Download or read book Classically Unstable Approximations for Linear Evolution Equations and Applications written by Yu Zhuang. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:

You may also like...