Bergman’s Linear Integral Operator Method in the Theory of Compressible Fluid Flow PDF Download
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Author: M.Z.v. Krzywoblocki
Publisher: Springer-Verlag
ISBN: 3709139945
Category : Technology & Engineering
Languages : de
Pages : 198
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Book Description
Author: M.Z.v. Krzywoblocki
Publisher: Springer-Verlag
ISBN: 3709139945
Category : Technology & Engineering
Languages : de
Pages : 198
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Book Description
Author: Zbigniew Krzywoblocki
Publisher:
ISBN:
Category : Aerodynamics
Languages : en
Pages : 206
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Book Description
Author: Stefan Bergman
Publisher: Springer Science & Business Media
ISBN: 3642649858
Category : Mathematics
Languages : en
Pages : 155
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Book Description
The present book deals with the construction of solutions of linear partial differential equations by means of integral operators which transform analytic functions of a complex variable into such solutions. The theory of analytic functions has achieved a high degree of deve lopment and simplicity, and the operator method permits us to exploit this theory in the study of differential equations. Although the study of existence and uniqueness of solutions has been highly developed, much less attention has been paid to the investigation of function theo retical properties and to the explicit construction of regular and singular solutions using a unified general procedure. This book attempts to fill in the gap in this direction. Integral operators of various types have been used for a long time in the mathematical literature. In this connection one needs only to mention Euler and Laplace. The author has not attempted to give a complete account of all known operators, but rather has aimed at developing a unified approach. For this purpose he uses special operators which preserve various function theoretical properties of analytic functions, such as domains of regularity, validity of series development, connection between the coefficients of these developments and location and character of singularities, etc. However, all efforts were made to give a complete bibliography to help the reader to find more detailed information.
Author: Gilbert
Publisher: Academic Press
ISBN: 0080955622
Category : Computers
Languages : en
Pages : 335
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Book Description
Function Theoretic Methods in Partial Differential Equations
Author: Howard Tashjian
Publisher:
ISBN:
Category : Aerodynamics, Transonic
Languages : en
Pages : 28
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Book Description
Author: M. Z. Von Krzywoblocki
Publisher:
ISBN: 9780387805467
Category :
Languages : en
Pages :
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 420
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Book Description
Author: William F. Ames
Publisher: Academic Press
ISBN: 148322581X
Category : Science
Languages : en
Pages : 267
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Book Description
Nonlinear Problems of Engineering reviews certain nonlinear problems of engineering. This book provides a discussion of nonlinear problems that occur in four areas, namely, mathematical methods, fluid mechanics, mechanics of solids, and transport phenomena. Organized into 15 chapters, this book begins with an overview of some of the fundamental ideas of two mathematical theories, namely, invariant imbedding and dynamic programming. This text then explores nonlinear integral equations, which have long occupied a prominent place in mathematical analysis. Other chapters consider the phenomena associated with essentially divergent small-divisor series, such as may occur in the formal solution of differential equations that represent the oscillations of conservative dynamical systems. This book discusses as well the mechanics of idealized textiles consisting of inextensible filaments. The final chapter deals with the use of the Peaceman–Rachford alternating direction implicit method for solving the finite difference analogs of boundary value problems. This book is a valuable resource for engineers and mathematicians.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 520
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Book Description
Author: Zbigniew Krzywoblocki
Publisher:
ISBN:
Category : Aerodynamics
Languages : en
Pages : 218
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Book Description
