Resolution Numerique Des Systemes D'equations Lineaires PDF Download
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Author: Louis Couffignal
Publisher:
ISBN:
Category :
Languages : en
Pages : 180
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Book Description
Author: Louis Couffignal
Publisher:
ISBN:
Category :
Languages : en
Pages : 180
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Book Description
Author: J. F. Pommaret
Publisher: CRC Press
ISBN: 9780677002705
Category : Mathematics
Languages : en
Pages : 428
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Book Description
Author: Gerard Meurant
Publisher: Elsevier
ISBN: 0080529518
Category : Mathematics
Languages : en
Pages : 777
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Book Description
This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations. It covers both direct and iterative methods. Direct methods which are considered are variants of Gaussian elimination and fast solvers for separable partial differential equations in rectangular domains. The book reviews the classical iterative methods like Jacobi, Gauss-Seidel and alternating directions algorithms. A particular emphasis is put on the conjugate gradient as well as conjugate gradient -like methods for non symmetric problems. Most efficient preconditioners used to speed up convergence are studied. A chapter is devoted to the multigrid method and the book ends with domain decomposition algorithms that are well suited for solving linear systems on parallel computers.
Author: C. T. Kelley
Publisher: SIAM
ISBN: 0898713528
Category : Mathematics
Languages : en
Pages : 169
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Book Description
Mathematics of Computing -- Numerical Analysis.
Author:
Publisher: Elsevier
ISBN: 0080457347
Category : Mathematics
Languages : en
Pages : 332
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Book Description
For more than forty years, the equation y'(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes. Many of the outstanding open problems, however, have remained open until recently, and some have never been solved. This book is a survey of all results know to the author, with emphasis on very recent results (1999 to date). The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a more focused and concrete treatment. As experience shows, results on linear equations are the basis for the treatment of their semilinear counterparts, and techniques for the time and norm optimal problems can often be generalized to more general cost functionals. The main object of this book is to be a state-of-the-art monograph on the theory of the time and norm optimal controls for y'(t) = Ay(t) + u(t) that ends at the very latest frontier of research, with open problems and indications for future research. Key features: · Applications to optimal diffusion processes. · Applications to optimal heat propagation processes. · Modelling of optimal processes governed by partial differential equations. · Complete bibliography. · Includes the latest research on the subject. · Does not assume anything from the reader except basic functional analysis. · Accessible to researchers and advanced graduate students alike· Applications to optimal diffusion processes.· Applications to optimal heat propagation processes.· Modelling of optimal processes governed by partial differential equations.· Complete bibliography.· Includes the latest research on the subject.· Does not assume anything from the reader except basic functional analysis.· Accessible to researchers and advanced graduate students alike
Author: Werner Balser
Publisher:
ISBN: 9781475774047
Category :
Languages : en
Pages : 324
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Book Description
Author: Frigyes Riesz
Publisher:
ISBN:
Category : Algebras, Linear
Languages : fr
Pages : 200
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Book Description
Author: Christiaan Heij
Publisher: Springer Science & Business Media
ISBN: 3764375493
Category : Science
Languages : en
Pages : 169
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Book Description
This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering; the focus is on discrete time systems. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation.
Author: Zahari Zlatev
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 146
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Book Description
Author: Frigyes Riesz
Publisher:
ISBN:
Category :
Languages : fr
Pages : 182
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Book Description
