Numerical Solution of Nonlinear Boundary Value Problems with 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 Numerical Solution of Nonlinear Boundary Value Problems with Applications write by Milan Kubicek. This book was released on 2008-01-01. Numerical Solution of Nonlinear Boundary Value Problems with Applications available in PDF, EPUB and Kindle. A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Starting with a survey of accomplishments in the field, it explores initial and boundary value problems for ordinary differential equations, linear boundary value problems, and the numerical realization of parametric studies in nonlinear boundary value problems. The authors--Milan Kubicek, Professor at the Prague Institute of Chemical Technology, and Vladimir Hlavacek, Professor at the University of Buffalo--emphasize the description and straightforward application of numerical techniques rather than underlying theory. This approach reflects their extensive experience with the application of diverse numerical algorithms.
Numerical Solution of Boundary Value Problems for Ordinary Differential Equations
Numerical Solution of Boundary Value Problems for Ordinary Differential 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 Numerical Solution of Boundary Value Problems for Ordinary Differential Equations write by Uri M. Ascher. This book was released on 1994-12-01. Numerical Solution of Boundary Value Problems for Ordinary Differential Equations available in PDF, EPUB and Kindle. This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner.
Wavelet Numerical Method and Its Applications in Nonlinear Problems
Wavelet Numerical Method and Its Applications in Nonlinear Problems - 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 Wavelet Numerical Method and Its Applications in Nonlinear Problems write by You-He Zhou. This book was released on 2021-03-09. Wavelet Numerical Method and Its Applications in Nonlinear Problems available in PDF, EPUB and Kindle. This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for solving general linear and nonlinear initial boundary value problems in engineering, including the technique of boundary extension in approximating interval-bounded functions, the calculation method for various connection coefficients, the single-point Gaussian integration method in calculating the coefficients of wavelet expansions and unique treatments on nonlinear terms in differential equations. At the same time, this book is supplemented by a large number of numerical examples to specifically explain procedures and characteristics of the method, as well as detailed treatments for specific problems. Different from most of the current monographs focusing on the basic theory of wavelets, it focuses on the use of wavelet-based numerical methods developed by the author over the years. Even for the necessary basic theory of wavelet in engineering applications, this book is based on the author’s own understanding in plain language, instead of a relatively difficult professional mathematical description. This book is very suitable for students, researchers and technical personnel who only want to need the minimal knowledge of wavelet method to solve specific problems in engineering.
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem - 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 Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem write by Roland Glowinski. This book was released on 2015-11-04. Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem available in PDF, EPUB and Kindle. Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems?addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly nonsmooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. The book provides useful insights suitable for advanced graduate students, faculty, and researchers in applied and computational mathematics as well as research engineers, mathematical physicists, and systems engineers.
Augmented Lagrangian Methods
Augmented Lagrangian Methods - 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 Augmented Lagrangian Methods write by M. Fortin. This book was released on 2000-04-01. Augmented Lagrangian Methods available in PDF, EPUB and Kindle. The purpose of this volume is to present the principles of the Augmented Lagrangian Method, together with numerous applications of this method to the numerical solution of boundary-value problems for partial differential equations or inequalities arising in Mathematical Physics, in the Mechanics of Continuous Media and in the Engineering Sciences.
