Evolution Equations And Approximations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Evolution Equations And Approximations write by Kazufumi Ito. This book was released on 2002-05-24. Evolution Equations And Approximations available in PDF, EPUB and Kindle. 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
Evolution Equations and Approximations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Evolution Equations and Approximations write by Kazufumi Ito. This book was released on 2002. Evolution Equations and Approximations available in PDF, EPUB and Kindle. 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
Strong and Weak Approximation of Semilinear Stochastic Evolution Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Strong and Weak Approximation of Semilinear Stochastic Evolution Equations write by Raphael Kruse. This book was released on 2013-11-18. Strong and Weak Approximation of Semilinear Stochastic Evolution Equations available in PDF, EPUB and Kindle. 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
Approximation of Nonlinear Evolution Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Approximation of Nonlinear Evolution Systems write by Jerome. This book was released on 1983-04-22. Approximation of Nonlinear Evolution Systems available in PDF, EPUB and Kindle. Approximation of Nonlinear Evolution Systems
Classically Unstable Approximations for Linear Evolution Equations and Applications
Classically Unstable Approximations for Linear Evolution Equations and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classically Unstable Approximations for Linear Evolution Equations and Applications write by Yu Zhuang. This book was released on 2000. Classically Unstable Approximations for Linear Evolution Equations and Applications available in PDF, EPUB and Kindle.
