Convergence Approximation And Differential Equations
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Convergence Approximation And Differential Equations
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Author : Eugene A. Herman
language : en
Publisher: John Wiley & Sons
Release Date : 1986
Convergence Approximation And Differential Equations written by Eugene A. Herman and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
A new approach to the teaching of undergraduate level mathematics that includes topics from numerical analysis, calculus and differential equations. It stresses a modern viewpoint, combining both computational and theoretical aspects that will help students use the computer as a daily tool as well as aid them in the understanding of basic theoretical concepts. Numerous examples, applications and exercise sets are also included in the text.
Convergence Approximation And Differential Equatio Ns
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Author : Herman
language : en
Publisher:
Release Date : 1987-05
Convergence Approximation And Differential Equatio Ns written by Herman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-05 with categories.
A new approach to the teaching of undergraduate level mathematics that includes topics from numerical analysis, calculus and differential equations. It stresses a modern viewpoint, combining both computational and theoretical aspects that will help students use the computer as a daily tool as well as aid them in the understanding of basic theoretical concepts. Numerous examples, applications and exercise sets are also included in the text.
On The Convergence Of Discrete Approximations To The Navier Stokes Equations Classic Reprint
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Author : Alexandre Joel Chorin
language : en
Publisher: Forgotten Books
Release Date : 2017-12-19
On The Convergence Of Discrete Approximations To The Navier Stokes Equations Classic Reprint written by Alexandre Joel Chorin and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Mathematics categories.
Excerpt from On the Convergence of Discrete Approximations to the Navier-Stokes Equations In the present paper we shall adopt a different point of view. We shall assume that the differential equations have a solution with a certain number of continuous derivatives. Armed with this knowledge, we shall study difference schemes which are not merely usable, but even efficient. The methods analyzed are based on the following observations: Equation (1) About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Analysis Of Approximation Methods For Differential And Integral Equations
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Author : Hans-Jürgen Reinhardt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analysis Of Approximation Methods For Differential And Integral Equations written by Hans-Jürgen Reinhardt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book is primarily based on the research done by the Numerical Analysis Group at the Goethe-Universitat in Frankfurt/Main, and on material presented in several graduate courses by the author between 1977 and 1981. It is hoped that the text will be useful for graduate students and for scientists interested in studying a fundamental theoretical analysis of numerical methods along with its application to the most diverse classes of differential and integral equations. The text treats numerous methods for approximating solutions of three classes of problems: (elliptic) boundary-value problems, (hyperbolic and parabolic) initial value problems in partial differential equations, and integral equations of the second kind. The aim is to develop a unifying convergence theory, and thereby prove the convergence of, as well as provide error estimates for, the approximations generated by specific numerical methods. The schemes for numerically solving boundary-value problems are additionally divided into the two categories of finite difference methods and of projection methods for approximating their variational formulations.
Numerical Approximations Of Stochastic Differential Equations With Non Globally Lipschitz Continuous Coefficients
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Author : Martin Hutzenthaler
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-06-26
Numerical Approximations Of Stochastic Differential Equations With Non Globally Lipschitz Continuous Coefficients written by Martin Hutzenthaler and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-26 with Mathematics categories.
Many stochastic differential equations (SDEs) in the literature have a superlinearly growing nonlinearity in their drift or diffusion coefficient. Unfortunately, moments of the computationally efficient Euler-Maruyama approximation method diverge for these SDEs in finite time. This article develops a general theory based on rare events for studying integrability properties such as moment bounds for discrete-time stochastic processes. Using this approach, the authors establish moment bounds for fully and partially drift-implicit Euler methods and for a class of new explicit approximation methods which require only a few more arithmetical operations than the Euler-Maruyama method. These moment bounds are then used to prove strong convergence of the proposed schemes. Finally, the authors illustrate their results for several SDEs from finance, physics, biology and chemistry.
On The Convergence Of Discrete Approximations To The Navier Stokes Equations
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Author : Alexandre Joël Chorin
language : en
Publisher:
Release Date : 1968
On The Convergence Of Discrete Approximations To The Navier Stokes Equations written by Alexandre Joël Chorin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Differential equations categories.
Difference Schemes
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Author : S.K. Godunov
language : en
Publisher: Elsevier
Release Date : 1987-05-01
Difference Schemes written by S.K. Godunov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-05-01 with Mathematics categories.
Much applied and theoretical research in natural sciences leads to boundary-value problems stated in terms of differential equations. When solving these problems with computers, the differential problems are replaced approximately by difference schemes.This book is an introduction to the theory of difference schemes, and was written as a textbook for university mathematics and physics departments and for technical universities. Some sections of the book will be of interest to computations specialists.While stressing a mathematically rigorous treatment of model problems, the book also demonstrates the relation between theory and computer experiments, using difference schemes created for practical computations.
Numerical Methods And Methods Of Approximation In Science And Engineering
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Author : Karan S. Surana
language : en
Publisher: CRC Press
Release Date : 2018-10-31
Numerical Methods And Methods Of Approximation In Science And Engineering written by Karan S. Surana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-31 with Mathematics categories.
Numerical Methods and Methods of Approximation in Science and Engineering prepares students and other readers for advanced studies involving applied numerical and computational analysis. Focused on building a sound theoretical foundation, it uses a clear and simple approach backed by numerous worked examples to facilitate understanding of numerical methods and their application. Readers will learn to structure a sequence of operations into a program, using the programming language of their choice; this approach leads to a deeper understanding of the methods and their limitations. Features: Provides a strong theoretical foundation for learning and applying numerical methods Takes a generic approach to engineering analysis, rather than using a specific programming language Built around a consistent, understandable model for conducting engineering analysis Prepares students for advanced coursework, and use of tools such as FEA and CFD Presents numerous detailed examples and problems, and a Solutions Manual for instructors
Approximate Global Convergence And Adaptivity For Coefficient Inverse Problems
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Author : Larisa Beilina
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-09
Approximate Global Convergence And Adaptivity For Coefficient Inverse Problems written by Larisa Beilina and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-09 with Mathematics categories.
Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems is the first book in which two new concepts of numerical solutions of multidimensional Coefficient Inverse Problems (CIPs) for a hyperbolic Partial Differential Equation (PDE) are presented: Approximate Global Convergence and the Adaptive Finite Element Method (adaptivity for brevity). Two central questions for CIPs are addressed: How to obtain a good approximations for the exact solution without any knowledge of a small neighborhood of this solution, and how to refine it given the approximation. The book also combines analytical convergence results with recipes for various numerical implementations of developed algorithms. The developed technique is applied to two types of blind experimental data, which are collected both in a laboratory and in the field. The result for the blind backscattering experimental data collected in the field addresses a real world problem of imaging of shallow explosives.
Handbook Of Fluid Dynamics
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Author : Richard W. Johnson
language : en
Publisher: CRC Press
Release Date : 2016-04-06
Handbook Of Fluid Dynamics written by Richard W. Johnson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-06 with Science categories.
Handbook of Fluid Dynamics offers balanced coverage of the three traditional areas of fluid dynamics—theoretical, computational, and experimental—complete with valuable appendices presenting the mathematics of fluid dynamics, tables of dimensionless numbers, and tables of the properties of gases and vapors. Each chapter introduces a different fluid dynamics topic, discusses the pertinent issues, outlines proven techniques for addressing those issues, and supplies useful references for further research. Covering all major aspects of classical and modern fluid dynamics, this fully updated Second Edition: Reflects the latest fluid dynamics research and engineering applications Includes new sections on emerging fields, most notably micro- and nanofluidics Surveys the range of numerical and computational methods used in fluid dynamics analysis and design Expands the scope of a number of contemporary topics by incorporating new experimental methods, more numerical approaches, and additional areas for the application of fluid dynamics Handbook of Fluid Dynamics, Second Edition provides an indispensable resource for professionals entering the field of fluid dynamics. The book also enables experts specialized in areas outside fluid dynamics to become familiar with the field.