On Approximating Extremals of Functionals. Part Ii. Theory and Generalizations Related to Boundary Value Problems for Non-linear Differential Equations PDF Download
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Author: Donald Greenspan
Publisher:
ISBN:
Category :
Languages : en
Pages : 33
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Book Description
A combination variational-difference numerical method, applied recently to a large variety of nonlinear boundary value problems, is studied from the points of view of convergence and possible generalizations. The essence of the method lies in minimizing a functional numerically rather than in approximating the solution of the Euler differential equation of the functional. (Author).
Author: Donald Greenspan
Publisher:
ISBN:
Category :
Languages : en
Pages : 33
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Book Description
A combination variational-difference numerical method, applied recently to a large variety of nonlinear boundary value problems, is studied from the points of view of convergence and possible generalizations. The essence of the method lies in minimizing a functional numerically rather than in approximating the solution of the Euler differential equation of the functional. (Author).
Author: Donald Greenspan
Publisher:
ISBN:
Category :
Languages : en
Pages : 33
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Book Description
A new numerical method for a class of nonlinear boundary value problems is described and a variety of examples are presented to indicate its potential value. The essential idea is to apply finite difference methods to a functional rather than to the Euler differential equation of that functional. Applications are made to problems in minimal surfaces, geodesics, and subsonic flows, which were previously inaccessible. (Author).
Author: Donald Greenspan
Publisher:
ISBN:
Category : Functionals
Languages : en
Pages : 28
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Author: Donald Greenspan
Publisher:
ISBN:
Category :
Languages : en
Pages : 30
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Book Description
Author: UNITED STATES. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER.
Publisher:
ISBN:
Category :
Languages : en
Pages : 39
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Author: Günter Meinardus
Publisher: Springer Science & Business Media
ISBN: 3642856438
Category : Science
Languages : en
Pages : 207
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Book Description
for example, the so-called Lp approximation, the Bernstein approxima tion problem (approximation on the real line by certain entire functions), and the highly interesting studies of J. L. WALSH on approximation in the complex plane. I would like to extend sincere thanks to Professor L. COLLATZ for his many encouragements for the writing of this book. Thanks are equally due to Springer-Verlag for their ready agreement to my wishes, and for the excellent and competent composition of the book. In addition, I would like to thank Dr. W. KRABS, Dr. A. -G. MEYER and D. SCHWEDT for their very careful reading of the manuscript. Hamburg, March 1964 GUNTER MEINARDUS Preface to the English Edition This English edition was translated by Dr. LARRY SCHUMAKER, Mathematics Research Center, United States Army, The University of Wisconsin, Madison, from a supplemented version of the German edition. Apart from a number of minor additions and corrections and a few new proofs (e. g. , the new proof of JACKSON'S Theorem), it differs in detail from the first edition by the inclusion of a discussion of new work on comparison theorems in the case of so-called regular Haar systems (§ 6) and on Segment Approximation (§ 11). I want to thank the many readers who provided comments and helpful suggestions. My special thanks are due to the translator, to Springer-Verlag for their ready compliance with all my wishes, to Mr.
Author: Vladislav K. Dzyadyk
Publisher: Walter de Gruyter
ISBN: 3110208245
Category : Mathematics
Languages : en
Pages : 497
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Book Description
A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, Weierstraß theorems, smoothness of functions, and continuation of functions.
Author: Ivan Singer
Publisher: SIAM
ISBN: 0898710103
Category : Mathematics
Languages : en
Pages : 103
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Book Description
Presents results and problems in the modern theory of best approximation, in which the methods of functional analysis are applied in a consequent manner.
Author: Donald Greenspan
Publisher:
ISBN:
Category :
Languages : en
Pages : 47
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Book Description
A combination variational integral-finite difference technique for extremizing functionals numerically is applied to a fundamental, nonlinear subsonic flow problem. Not only is the flow pattern constructed, but estimates of the critical Mach number, speed, acceleration, and pressure are also obtained. The method is also applied to mark the emergence of a supersonic bubble in problems where this phenomenon occurs. (Author).
Author:
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 398
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Book Description
