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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.
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.
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.
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.
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.
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.
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.
Author: Roland Glowinski Publisher: SIAM ISBN: 1611973783 Category : Mathematics Languages : en Pages : 473
Book Description
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems?addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly nonsmooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. The book provides useful insights suitable for advanced graduate students, faculty, and researchers in applied and computational mathematics as well as research engineers, mathematical physicists, and systems engineers.
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.
Author: H. F. Weinberger
Author: H. F. Weinberger
Author: H. F. Weinberger
Author: Sydney Henry Gould
Author: Hans Felix Weinberger
Author: Hans F. Weinberger
Author: S. H. Gould
Author: Lidia Palese
Author: Adelina Georgescu
Author: Roland Glowinski
Author: Ulrich Kulisch