Bounds and Approximations for Eigenvalues of Self-adjoint Boundary Value Problems PDF Download
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Author: George Joseph Fix
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: George Joseph Fix
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Xuefeng Liu
Publisher: Springer Nature
ISBN: 9819735777
Category :
Languages : en
Pages : 139
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Book Description
Author: ENGELI
Publisher: Birkhäuser
ISBN: 3034872240
Category : Science
Languages : en
Pages : 107
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Book Description
Author: H. F. Weinberger
Publisher: SIAM
ISBN: 089871012X
Category : Mathematics
Languages : en
Pages : 163
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Book Description
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.
Author: Richard Edward Dame
Publisher:
ISBN:
Category : Calculus of variations
Languages : en
Pages : 130
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Book Description
A variational method was developed to obtain lower bounds for eigenvalues, eigenfunctions and general solutions to problems which have complicated boundary conditions or regional shapes. By using an intermediate-problem approach, field functions were expanded in a infinite Fourier type expansion in a Hilbert space of eigenfunctions of a conveniently related problem. Final solutions are developed by projecting the field function into a subspace which is orthogonal to a given infinite dimensional subspace of constraints. The purpose of the study is to develop a new method which could generate the difficult eigenfunctions and boundary-value problem solutions, since previous investigators have universally limited their developments of the intermediate problem method to eigenvalue determinations. The results of this study, therefore, show that solutions of difficult problems which were not accessible through other means can now be generated efficiently. (Author).
Author: A. Weinstein
Publisher: Elsevier
ISBN: 0080955983
Category : Mathematics
Languages : en
Pages : 250
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Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author: A. Weinstein
Publisher:
ISBN:
Category : Eigenvalues
Languages : en
Pages : 36
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Book Description
Author: 3Island Press
Publisher:
ISBN: 9783034872256
Category :
Languages : en
Pages : 112
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Book Description
Author: Society for Industrial and Applied Mathematics
Publisher: American Mathematical Soc.
ISBN: 9780821813218
Category : Mathematics
Languages : en
Pages : 294
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Book Description
Author: Vladimir Kozlov
Publisher: American Mathematical Soc.
ISBN: 0821807544
Category : Mathematics
Languages : en
Pages : 426
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Book Description
For graduate students and research mathematicians interested in partial differential equations and who have a basic knowledge of functional analysis. Restricted to boundary value problems formed by differential operators, avoiding the use of pseudo- differential operators. Concentrates on fundamental results such as estimates for solutions in different function spaces, the Fredholm property of the problem's operator, regularity assertions, and asymptotic formulas for the solutions of near singular points. Considers the solutions in Sobolev spaces of both positive and negative orders. Annotation copyrighted by Book News, Inc., Portland, OR
