Numerical Solution of Nonlinear Boundary Value Problems Using Reflection (Classic Reprint) - Softcover
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Excerpt from Numerical Solution of Nonlinear Boundary Value Problems Using Reflection
In the past, free boundary problems have been attacked by iterative procedures which guess the location of the boundary, solve the rest of the equations, and then improve the guess A more accurate and faster scheme was recently reported by Bloch He incorporates a change of independent variables Via a conformal transformation, simplifying the domain of the solution. Then he solves the transformed differential equation in the new (known) domain, Simultaneously solving for the transformation itself. The result is regarded as a parametrized form of the desired solution. The boundary conditions for the transformation are derived from a steepest descent argument, supplemented by equations serving to establish the free boundary constraint, which in his case expresses continuity of pressure across a fluid-air interface.
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Numerical Solution of Nonlinear Boundary Value Problems Using Reflection
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Paperback. Zustand: New. Print on Demand. This book addresses an innovative method for solving boundary value problems in fluid mechanics using reflection, where the solution can be continued across the boundary in some prescribed manner. This technique, developed by the author, is shown to be more efficient and faster than previous methods. It has been used in this book to numerically solve two specific problems in fluid mechanics â" a free boundary problem and the vena contracta model. The results presented in the book attest to the method's accuracy, even with a coarse mesh. The book also includes an exposition of the reflection property of solutions to elliptic partial differential equations, as well as a discussion of the implications and limitations of the method. It will be valuable to researchers using finite difference techniques to solve nonlinear elliptic boundary value problems in two independent variables. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781333400583_0
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Numerical Solution of Nonlinear Boundary Value Problems Using Reflection Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333400583
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Numerical Solution of Nonlinear Boundary Value Problems Using Reflection Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333400583
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