Green's Functions and Transfer Functions Handbook
Author: Anatoliĭ Grigorʹevich Butkovskiĭ
Publisher:
Published: 1982
Total Pages: 248
ISBN-13:
DOWNLOAD EBOOK →Lanterna Rally
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Handbook of Green's Functions and Matrices
Author: V. D. Şeremet
Publisher: Witpress
Published: 2003
Total Pages: 312
ISBN-13:
DOWNLOAD EBOOK →Designed for graduate and postgraduate students investigating such areas as elasticity, thermoelasticity, mechanics, heat conduction, elector and magneto conduction, electronics, radio-physics, hydrodynamics, and conduction of moisture, the text will also be of interest to engineers and researchers working in these fields.
Green's Functions with Applications
Author: Dean G. Duffy
Publisher: CRC Press
Published: 2001-05-31
Total Pages: 461
ISBN-13: 1420034790
DOWNLOAD EBOOK →Since its introduction in 1828, using Green's functions has become a fundamental mathematical technique for solving boundary value problems. Most treatments, however, focus on its theory and classical applications in physics rather than the practical means of finding Green's functions for applications in engineering and the sciences. Green's
Characteristics of Distributed-Parameter Systems
Author: A. G. Butkovskiy
Publisher:
Published: 2014-01-15
Total Pages: 412
ISBN-13: 9789401120630
DOWNLOAD EBOOK →Green's Functions
Author: Yuri A. Melnikov
Publisher: Walter de Gruyter
Published: 2012-04-02
Total Pages: 448
ISBN-13: 3110253399
DOWNLOAD EBOOK →Green's functions represent one of the classical and widely used issues in the area of differential equations. This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static Klein-Gordon and biharmonic equation. The parabolic type is represented by the classical heat equation and the Black-Scholes equation which has emerged as a mathematical model in financial mathematics. The book is attractive for practical needs: It contains many easily computable or computer friendly representations of Green's functions, includes all the standard Green's functions and many novel ones, and provides innovative and new approaches that might lead to Green's functions. The book is a useful source for everyone who is studying or working in the fields of science, finance, or engineering that involve practical solution of partial differential equations.
Handbook of Differential Equations
Author: Daniel Zwillinger
Publisher: Gulf Professional Publishing
Published: 1998
Total Pages: 842
ISBN-13: 9780127843964
DOWNLOAD EBOOK →This book compiles the most widely applicable methods for solving and approximating differential equations. as well as numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations. For nearly every technique, the book provides: The types of equations to which the method is applicable The idea behind the method The procedure for carrying out the method At least one simple example of the method Any cautions that should be exercised Notes for more advanced users References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs
Distributed Transfer Function Method
Author: Bingen Yang
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2023-10-02
Total Pages: 658
ISBN-13: 3110759004
DOWNLOAD EBOOK →Without mathematics no science would survive. This especially applies to the engineering sciences which highly depend on the applications of mathematics and mathematical tools such as optimization techniques, finite element methods, differential equations, fluid dynamics, mathematical modelling, and simulation. Neither optimization in engineering, nor the performance of safety-critical system and system security; nor high assurance software architecture and design would be possible without the development of mathematical applications. De Gruyter Series on the Applications of Mathematics in Engineering and Information Sciences (AMEIS) focusses on the latest applications of engineering and information technology that are possible only with the use of mathematical methods. By identifying the gaps in knowledge of engineering applications the AMEIS series fosters the international interchange between the sciences and keeps the reader informed about the latest developments.
Green's Functions in Applied Mechanics
Author: Yu. A. Melnikov
Publisher: Computational Mechanics
Published: 1995
Total Pages: 296
ISBN-13:
DOWNLOAD EBOOK →This book is probably the first attempt to make this special topic in the field of partial differential equations accessible to a large audience. The book contains a description of how to construct Green's functions and matrices for elliptic partial differential equations. A number of applications are also presented showing the computational capability of the Green's functions method, and indicate possible ways to put into practice the results of the present study.
Characteristics of Distributed-Parameter Systems
Author: Anatoliĭ Grigorʹevich Butkovskiĭ
Publisher: Springer Science & Business Media
Published: 1993
Total Pages: 414
ISBN-13: 9780792324997
DOWNLOAD EBOOK →This volume is a handbook which contains data dealing with the characteristics of systems with distributed and lumped parameters. Some 200 problems are discussed and, for each problem, all the main characteristics of the solution are listed: standardizing functions, Green's functions, transfer functions or matrices, eigenfunctions and eigenvalues with their asymptotics, roots of characteristic equations, and others. In addition to systems described by a single differential equation, the handbook also includes degenerate multiconnected systems.
Elements of Green's Functions and Propagation
Author: Gabriel Barton
Publisher: Oxford University Press
Published: 1989
Total Pages: 484
ISBN-13: 9780198519980
DOWNLOAD EBOOK →This text takes the student with a background in undergraduate physics and mathematics towards the skills and insights needed for graduate work in theoretical physics. The author uses Green's functions to explore the physics of potentials, diffusion, and waves. These are important phenomena in their own right, but this study of the partial differential equations describing them also prepares the student for more advanced applications in many-body physics and field theory. Calculations are carried through in enough detail for self-study, and case histories illustrate the interplay between physical insight and mathematical formalism. The aim is to develop the habit of dialogue with the equations and the craftsmanship this fosters in tackling the problem. The book is based on the author's extensive teaching experience.
