Variational Methods For Eigenvalue Approximation

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Variational Methods For Eigenvalue Approximation
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Author : H. F. Weinberger
language : en
Publisher: SIAM
Release Date : 1974-01-01
Variational Methods For Eigenvalue Approximation written by H. F. Weinberger and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-01 with Mathematics categories.
Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators.
Variational Methods For Eigenvalue Approximation
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Author : H. F. Weinberger
language : en
Publisher: SIAM
Release Date : 1974-01-01
Variational Methods For Eigenvalue Approximation written by H. F. Weinberger and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-01 with Mathematics categories.
Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators.
Variational Methods For Eigenvalue Approximation
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Author : Hans Felix Weinberger
language : en
Publisher:
Release Date : 1974
Variational Methods For Eigenvalue Approximation written by Hans Felix Weinberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Variational Methods For Eigenvalue Approximation Based On Lectures Presented At Joint Conference On Eigenvalues Of Differential Operators
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Author : National Science Foundation (U.S.)
language : en
Publisher:
Release Date :
Variational Methods For Eigenvalue Approximation Based On Lectures Presented At Joint Conference On Eigenvalues Of Differential Operators written by National Science Foundation (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Variational Methods For Eigenvalue Problems
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Author : Sydney Henry Gould
language : en
Publisher: Courier Corporation
Release Date : 1995-01-01
Variational Methods For Eigenvalue Problems written by Sydney Henry Gould and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Science categories.
Purely mathematical treatment offers simple exposition of general theory of variational methods with special reference to the vibrating plate. No math beyond basic calculus. Includes exercises. 1957 edition.
Handbook Of Differential Equations
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Author : Daniel Zwillinger
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Handbook Of Differential Equations written by Daniel Zwillinger and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
Handbook of Differential Equations is a handy reference to many popular techniques for solving and approximating differential equations, including exact analytical methods, approximate analytical methods, and numerical methods. Topics covered range from transformations and constant coefficient linear equations to finite and infinite intervals, along with conformal mappings and the perturbation method. Comprised of 180 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.
Numerical Solution Of Elliptic Problems
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Author : Garrett Birkhoff
language : en
Publisher: SIAM
Release Date : 1984-01-01
Numerical Solution Of Elliptic Problems written by Garrett Birkhoff and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-01 with Mathematics categories.
A study of the art and science of solving elliptic problems numerically, with an emphasis on problems that have important scientific and engineering applications, and that are solvable at moderate cost on computing machines.
Computational Methods In Optimal Control
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Author : William H. Hager
language : en
Publisher: SIAM
Release Date : 2025-02-13
Computational Methods In Optimal Control written by William H. Hager and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-13 with Mathematics categories.
Using material from many different sources in a systematic and unified way, this self-contained book provides both rigorous mathematical theory and practical numerical insights while developing a framework for determining the convergence rate of discrete approximations to optimal control problems. Elements of the framework include the reference point, the truncation error, and a stability theory for the linearized first-order optimality conditions. Within this framework, the discretized control problem has a stationary point whose distance to the reference point is bounded in terms of the truncation error. The theory applies to a broad range of discretizations and provides completely new insights into the convergence theory for discrete approximations in optimal control, including the relationship between orthogonal collocation and Runge–Kutta methods. Throughout the book, derivatives associated with the discretized control problem are expressed in terms of a back-propagated costate. In particular, the objective derivative of a bang-bang or singular control problem with respect to a switch point of the control are obtained, which leads to the efficient solution of a class of nonsmooth control problems using a gradient-based optimizer. Computational Methods in Optimal Control: Theory and Practice is intended for numerical analysts and computational scientists. Users of the software package GPOPS may find the book useful since the theoretical basis for the GPOPS algorithm is developed within the book. It is appropriate for courses in variational analysis, numerical optimization, and the calculus of variations.
Numerical Treatment Of Eigenvalue Problems Vol 5 Numerische Behandlung Von Eigenwertaufgaben Band 5
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Author : ALBRECHT
language : en
Publisher: Birkhäuser
Release Date : 2013-11-22
Numerical Treatment Of Eigenvalue Problems Vol 5 Numerische Behandlung Von Eigenwertaufgaben Band 5 written by ALBRECHT and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Social Science categories.
Some Mathematical Methods Of Physics
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Author : Gerald Goertzel
language : en
Publisher: Courier Corporation
Release Date : 2014-03-05
Some Mathematical Methods Of Physics written by Gerald Goertzel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Science categories.
Well-rounded, thorough treatment introduces basic concepts of mathematical physics involved in the study of linear systems, with emphasis on eigenvalues, eigenfunctions, and Green's functions. Topics include discrete and continuous systems and approximation methods. 1960 edition.