Partial Differential Equations Ii
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Partial Differential Equations Ii
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Author : Michael E. Taylor
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-02
Partial Differential Equations Ii written by Michael E. Taylor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-02 with Mathematics categories.
This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.
Partial Differential Equations Ii
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Author : Michael E. Taylor
language : en
Publisher:
Release Date : 2010-11-04
Partial Differential Equations Ii written by Michael E. Taylor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-04 with categories.
Partial Differential Equations Ii
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Author : Yu.V. Egorov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Partial Differential Equations Ii written by Yu.V. Egorov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications including singular integral operators, pseudodifferential operators, Fourier integral operators and wavefronts, a survey of the most important results about the mixed problem for hyperbolic equations, a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics.
Partial Differential Equations Ii
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Author : Michael Taylor
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Partial Differential Equations Ii written by Michael Taylor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
Partial differential equations is a many-faceted subject. Created to describe the mechanical behavior of objects such as vibrating strings and blowing winds, it has developed into a body of material that interacts with many branches of math ematics, such as differential geometry, complex analysis, and harmonic analysis, as weil as a ubiquitous factor in the description and elucidation of problems in mathematical physics. This work is intended to provide a course of study of some of the major aspects of PDE. It is addressed to readers with a background in the basic introductory grad uate mathematics courses in American universities: elementary real and complex analysis, differential geometry, and measure theory. Chapter 1 provides background material on the theory of ordinary differential equations (ODE). This includes both very basic material-on topics such as the existence and uniqueness of solutions to ODE and explicit solutions to equations with constant coefficients and relations to linear algebra-and more sophisticated results-on flows generated by vector fields, connections with differential geom etry, the calculus of differential forms, stationary action principles in mechanics, and their relation to Hamiltonian systems. We discuss equations of relativistic motion as weIl as equations of c1assical Newtonian mechanics. There are also applications to topological results, such as degree theory, the Brouwer fixed-point theorem, and the Jordan-Brouwer separation theorem. In this chapter we also treat scalar first-order PDE, via Hamilton-Jacobi theory.
Partial Differential Equations Qualitative Studies Of Linear Equations
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Author : Michael Eugene Taylor
language : en
Publisher:
Release Date : 1996
Partial Differential Equations Qualitative Studies Of Linear Equations written by Michael Eugene Taylor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Differential equations, Partial categories.
Optimal Control Of Partial Differential Equations Ii Theory And Applications
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Author : Karl Heinrich Hofmann
language : en
Publisher:
Release Date : 1987
Optimal Control Of Partial Differential Equations Ii Theory And Applications written by Karl Heinrich Hofmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Numerical Solution Of Partial Differential Equations Ii Synspade 1970
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Author : Bert Hubbard
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Numerical Solution Of Partial Differential Equations Ii Synspade 1970 written by Bert Hubbard and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Numerical Solution of Partial Differential Equations—II: Synspade 1970 provides information pertinent to the fundamental aspects of partial differential equations. This book covers a variety of topics that range from mathematical numerical analysis to numerical methods applied to problems in mechanics, meteorology, and fluid dynamics. Organized into 18 chapters, this book begins with an overview of the methods of the Rayleigh–Ritz–Galerkin type for the approximation of boundary value problems using spline basis functions and Sobolev spaces. This text then analyzes a special approach aimed at solving elliptical equations. Other chapters consider the approximation theoretic study of special sets of approximating functions. This book discusses as well combining the alternating-direction methods with Galerkin methods to obtain highly efficient procedures for the numerical solution of second order parabolic and hyperbolic problems. The final chapter deals with the results concerning Chebyshev rational approximations of reciprocals of certain entire functions. This book is a valuable resource for mathematicians.
Meshfree Methods For Partial Differential Equations Ii
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Author : Michael Griebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-21
Meshfree Methods For Partial Differential Equations Ii written by Michael Griebel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-21 with Mathematics categories.
The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Second International Workshop on Meshfree Methods held in September 2003 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this new and exciting area of interdisciplinary research and to present recent advances and results in this field.
Advanced Differential Equation Ii
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Author : Mr. Rohit Manglik
language : en
Publisher: EduGorilla Publication
Release Date : 2024-03-04
Advanced Differential Equation Ii written by Mr. Rohit Manglik and has been published by EduGorilla Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-04 with Mathematics categories.
EduGorilla Publication is a trusted name in the education sector, committed to empowering learners with high-quality study materials and resources. Specializing in competitive exams and academic support, EduGorilla provides comprehensive and well-structured content tailored to meet the needs of students across various streams and levels.
Theory Of Differential Equations Vi Partial Differential Equations Ii
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Author :
language : en
Publisher:
Release Date : 1906
Theory Of Differential Equations Vi Partial Differential Equations Ii written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1906 with categories.