Author: H. F. Weinberger
Publisher: SIAM
ISBN: 9781611970531
Category : Mathematics
Languages : en
Pages : 165
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.
Variational Methods for Eigenvalue Approximation
Author: H. F. Weinberger
Publisher: SIAM
ISBN: 9781611970531
Category : Mathematics
Languages : en
Pages : 165
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.
Publisher: SIAM
ISBN: 9781611970531
Category : Mathematics
Languages : en
Pages : 165
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.
Variational Methods for Eigenvalue Approximation
Author: H. F. Weinberger
Publisher: SIAM
ISBN: 089871012X
Category : Mathematics
Languages : en
Pages : 163
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.
Publisher: SIAM
ISBN: 089871012X
Category : Mathematics
Languages : en
Pages : 163
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.
Variational Methods for Eigenvalue Problems
Author: Sydney Henry Gould
Publisher: Courier Corporation
ISBN: 9780486687124
Category : Science
Languages : en
Pages : 210
Book Description
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.
Publisher: Courier Corporation
ISBN: 9780486687124
Category : Science
Languages : en
Pages : 210
Book Description
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.
Variational Methods for Eigenvalue Approximation
Author: Hans Felix Weinberger
Publisher:
ISBN:
Category :
Languages : en
Pages : 160
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 160
Book Description
Variational methods for eigenvalue approximation
Variational Methods for Eigenvalue Problems
Author: S. H. Gould
Publisher: Courier Corporation
ISBN: 0486165809
Category : Science
Languages : en
Pages : 210
Book Description
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.
Publisher: Courier Corporation
ISBN: 0486165809
Category : Science
Languages : en
Pages : 210
Book Description
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.
Stability Criteria For Fluid Flows
Author: Lidia Palese
Publisher: World Scientific
ISBN: 9814466360
Category : Science
Languages : en
Pages : 418
Book Description
This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.
Publisher: World Scientific
ISBN: 9814466360
Category : Science
Languages : en
Pages : 418
Book Description
This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.
Stability Criteria for Fluid Flows
Author: Adelina Georgescu
Publisher: World Scientific
ISBN: 9814289566
Category : Science
Languages : en
Pages : 418
Book Description
This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.
Publisher: World Scientific
ISBN: 9814289566
Category : Science
Languages : en
Pages : 418
Book Description
This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.
Perspectives on Enclosure Methods
Author: Ulrich Kulisch
Publisher: Springer Science & Business Media
ISBN: 3709162823
Category : Mathematics
Languages : en
Pages : 344
Book Description
Enclosure methods and their applications have been developed to a high standard during the last decades. These methods guarantee the validity of the computed results. This means they are of the same standard as the rest of mathematics. The book deals with a wide variety of aspects of enclosure methods. All contributions follow the common goal to push the limits of enclosure methods forward. Topics that are treated include basic questions of arithmetic, proving conjectures, bounds for Krylow type linear system solvers, bounds for eigenvalues, the wrapping effect, algorithmic differencing, differential equations, finite element methods, application in robotics, and nonsmooth global optimization.
Publisher: Springer Science & Business Media
ISBN: 3709162823
Category : Mathematics
Languages : en
Pages : 344
Book Description
Enclosure methods and their applications have been developed to a high standard during the last decades. These methods guarantee the validity of the computed results. This means they are of the same standard as the rest of mathematics. The book deals with a wide variety of aspects of enclosure methods. All contributions follow the common goal to push the limits of enclosure methods forward. Topics that are treated include basic questions of arithmetic, proving conjectures, bounds for Krylow type linear system solvers, bounds for eigenvalues, the wrapping effect, algorithmic differencing, differential equations, finite element methods, application in robotics, and nonsmooth global optimization.
The Method of Weighted Residuals and Variational Principles
Author: Bruce A. Finlayson
Publisher: SIAM
ISBN: 1611973236
Category : Mathematics
Languages : en
Pages : 429
Book Description
This classic book covers the solution of differential equations in science and engineering in such as way as to provide an introduction for novices before progressing toward increasingly more difficult problems. The Method of Weighted Residuals and Variational Principles describes variational principles, including how to find them and how to use them to construct error bounds and create stationary principles. The book also illustrates how to use simple methods to find approximate solutions, shows how to use the finite element method for more complex problems, and provides detailed information on error bounds. Problem sets make this book ideal for self-study or as a course text.
Publisher: SIAM
ISBN: 1611973236
Category : Mathematics
Languages : en
Pages : 429
Book Description
This classic book covers the solution of differential equations in science and engineering in such as way as to provide an introduction for novices before progressing toward increasingly more difficult problems. The Method of Weighted Residuals and Variational Principles describes variational principles, including how to find them and how to use them to construct error bounds and create stationary principles. The book also illustrates how to use simple methods to find approximate solutions, shows how to use the finite element method for more complex problems, and provides detailed information on error bounds. Problem sets make this book ideal for self-study or as a course text.