Analogues for the Solution of Boundary-Value Problems PDF Download
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Author: B. A. Volynskii
Publisher: Elsevier
ISBN: 1483181375
Category : Mathematics
Languages : en
Pages : 474
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Book Description
Analogues for the Solution of Boundary-Value Problems considers the simulation of integral methods of solving boundary-value problems. This book is organized into 11 chapters. After the introduction provided in Chapter I, the formulation of some important engineering problems that reduce to the solution of partial differential equations is reviewed in Chapter II. Chapter III covers the mathematical methods for the solution of problems, such as the thermal problem of electrode graphitization and underground coal gasification. The theory of the physical processes of electrical simulation and principles involved in the construction of analogues is elaborated in Chapter IV, while the measurements in electrical analogues is deliberated in Chapter V. Chapters VI to VIII describe the construction of network analyzers and star-integrating networks. The methods of physical simulation for the solution of certain boundary-value problems are analyzed in Chapter IX. Chapters X and XI are devoted to future improvements and developments in analogues for the solution of boundary-value problems. This publication is intended for college students and specialists engaged in solving boundary-value problems.
Author: B. A. Volynskii
Publisher: Elsevier
ISBN: 1483181375
Category : Mathematics
Languages : en
Pages : 474
Get Book Here
Book Description
Analogues for the Solution of Boundary-Value Problems considers the simulation of integral methods of solving boundary-value problems. This book is organized into 11 chapters. After the introduction provided in Chapter I, the formulation of some important engineering problems that reduce to the solution of partial differential equations is reviewed in Chapter II. Chapter III covers the mathematical methods for the solution of problems, such as the thermal problem of electrode graphitization and underground coal gasification. The theory of the physical processes of electrical simulation and principles involved in the construction of analogues is elaborated in Chapter IV, while the measurements in electrical analogues is deliberated in Chapter V. Chapters VI to VIII describe the construction of network analyzers and star-integrating networks. The methods of physical simulation for the solution of certain boundary-value problems are analyzed in Chapter IX. Chapters X and XI are devoted to future improvements and developments in analogues for the solution of boundary-value problems. This publication is intended for college students and specialists engaged in solving boundary-value problems.
Author: B. A. Volynskii
Publisher:
ISBN:
Category :
Languages : en
Pages : 460
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Book Description
Author: Boris Abramovich Volynskii
Publisher:
ISBN:
Category :
Languages : en
Pages : 460
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Book Description
Author: Boris Abramovitch Volynskii
Publisher:
ISBN:
Category :
Languages : en
Pages : 460
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Book Description
![Analogues for the Solution of Boundary-value Problems [by] B. A. Volynskii and V. Ye. Bukhman. Translated by Jacques J. Schorr-Kon. Translation Edited by J. G. L. Michel PDF](https://books.google.com/books/content/images/frontcover/ZYC4wgEACAAJ?fife=w80-h100)
Author: Boris Abramovich Volynskiĭ
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 460
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Book Description
Author: Rick Brantley
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 72
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Book Description
Author: David Stephen Amberntson
Publisher:
ISBN:
Category : Electronic analog computers
Languages : en
Pages : 70
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Book Description
Author: Athanassios S. Fokas
Publisher: SIAM
ISBN: 089871706X
Category : Mathematics
Languages : en
Pages : 328
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Book Description
This text presents a new approach to analysing initial-boundary value problems for integrable partial differential equations.
Author: Mark A. Pinsky
Publisher: American Mathematical Soc.
ISBN: 0821868896
Category : Mathematics
Languages : en
Pages : 545
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Book Description
Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.
Author: Graef John R
Publisher: World Scientific
ISBN: 9813274042
Category : Mathematics
Languages : en
Pages : 344
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Book Description
The authors give a systematic introduction to boundary value problems (BVPs) for ordinary differential equations. The book is a graduate level text and good to use for individual study. With the relaxed style of writing, the reader will find it to be an enticing invitation to join this important area of mathematical research. Starting with the basics of boundary value problems for ordinary differential equations, linear equations and the construction of Green's functions are presented clearly.A discussion of the important question of the existence of solutions to both linear and nonlinear problems plays a central role in this volume and this includes solution matching and the comparison of eigenvalues.The important and very active research area on existence and multiplicity of positive solutions is treated in detail. The last chapter is devoted to nodal solutions for BVPs with separated boundary conditions as well as for non-local problems.While this Volume II complements , it can be used as a stand-alone work.
