Author: R. Glowinski
Publisher: Springer Science & Business Media
ISBN: 3642859720
Category : Computers
Languages : en
Pages : 394
Book Description
IRIA LABORIA, Institut de Recherche d'Informatique et d'Automatique
Computing Methods in Applied Sciences and Engineering
Author: R. Glowinski
Publisher: Springer Science & Business Media
ISBN: 3642859720
Category : Computers
Languages : en
Pages : 394
Book Description
IRIA LABORIA, Institut de Recherche d'Informatique et d'Automatique
Publisher: Springer Science & Business Media
ISBN: 3642859720
Category : Computers
Languages : en
Pages : 394
Book Description
IRIA LABORIA, Institut de Recherche d'Informatique et d'Automatique
Program Construction
Author: F.L. Bauer
Publisher: Springer
ISBN: 3540353127
Category : Computers
Languages : en
Pages : 661
Book Description
Publisher: Springer
ISBN: 3540353127
Category : Computers
Languages : en
Pages : 661
Book Description
Multigrid Methods
Author: Stephen F. McCormick
Publisher: SIAM
ISBN: 1611971888
Category : Mathematics
Languages : en
Pages : 292
Book Description
A thoughtful consideration of the current level of development of multigrid methods, this volume is a carefully edited collection of papers that addresses its topic on several levels. The first three chapters orient the reader who is familiar with standard numerical techniques to multigrid methods, first by discussing multigrid in the context of standard techniques, second by detailing the mechanics of use of the method, and third by applying the basic method to some current problems in fluid dynamics. The fourth chapter provides a unified development, complete with theory, of algebraic multigrid (AMG), which is a linear equation solver based on multigrid principles. The last chapter is an ambitious development of a very general theory of multigrid methods for variationally posed problems. Included as an appendix is the latest edition of the Multigrid Bibliography, an attempted compilation of all existing research publications on multigrid.
Publisher: SIAM
ISBN: 1611971888
Category : Mathematics
Languages : en
Pages : 292
Book Description
A thoughtful consideration of the current level of development of multigrid methods, this volume is a carefully edited collection of papers that addresses its topic on several levels. The first three chapters orient the reader who is familiar with standard numerical techniques to multigrid methods, first by discussing multigrid in the context of standard techniques, second by detailing the mechanics of use of the method, and third by applying the basic method to some current problems in fluid dynamics. The fourth chapter provides a unified development, complete with theory, of algebraic multigrid (AMG), which is a linear equation solver based on multigrid principles. The last chapter is an ambitious development of a very general theory of multigrid methods for variationally posed problems. Included as an appendix is the latest edition of the Multigrid Bibliography, an attempted compilation of all existing research publications on multigrid.
Finite Element Methods
Author: Michel Krizek
Publisher: Routledge
ISBN: 1351448609
Category : Mathematics
Languages : en
Pages : 370
Book Description
""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.
Publisher: Routledge
ISBN: 1351448609
Category : Mathematics
Languages : en
Pages : 370
Book Description
""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.
Proceedings of the Fifth SIAM Conference on Applied Linear Algebra
Author: John Gregg Lewis
Publisher: SIAM
ISBN: 9780898713367
Category : Mathematics
Languages : en
Pages : 606
Book Description
Publisher: SIAM
ISBN: 9780898713367
Category : Mathematics
Languages : en
Pages : 606
Book Description
Domain Decomposition Methods - Algorithms and Theory
Author: Andrea Toselli
Publisher: Springer Science & Business Media
ISBN: 3540266623
Category : Mathematics
Languages : en
Pages : 454
Book Description
This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. It places strong emphasis on both algorithmic and mathematical aspects. It covers in detail important methods such as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods.
Publisher: Springer Science & Business Media
ISBN: 3540266623
Category : Mathematics
Languages : en
Pages : 454
Book Description
This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. It places strong emphasis on both algorithmic and mathematical aspects. It covers in detail important methods such as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods.
Recent Trends in Numerical Analysis
Author: D. Trigiante
Publisher: Nova Publishers
ISBN: 9781560728856
Category : Mathematics
Languages : en
Pages : 364
Book Description
The contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.
Publisher: Nova Publishers
ISBN: 9781560728856
Category : Mathematics
Languages : en
Pages : 364
Book Description
The contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.
Computer Algorithms for Solving Linear Algebraic Equations
Author: Emilio Spedicato
Publisher: Springer Science & Business Media
ISBN: 3642767176
Category : Computers
Languages : en
Pages : 361
Book Description
The NATO Advanced Study Institute on "Computer algorithms for solving linear algebraic equations: the state of the art" was held September 9-21, 1990, at II Ciocco, Barga, Italy. It was attended by 68 students (among them many well known specialists in related fields!) from the following countries: Belgium, Brazil, Canada, Czechoslovakia, Denmark, France, Germany, Greece, Holland, Hungary, Italy, Portugal, Spain, Turkey, UK, USA, USSR, Yugoslavia. Solving linear equations is a fundamental task in most of computational mathematics. Linear systems which are now encountered in practice may be of very large dimension and their solution can still be a challenge in terms of the requirements of accuracy or reasonable computational time. With the advent of supercomputers with vector and parallel features, algorithms which were previously formulated in a framework of sequential operations often need a completely new formulation, and algorithms that were not recommended in a sequential framework may become the best choice. The aim of the ASI was to present the state of the art in this field. While not all important aspects could be covered (for instance there is no presentation of methods using interval arithmetic or symbolic computation), we believe that most important topics were considered, many of them by leading specialists who have contributed substantially to the developments in these fields.
Publisher: Springer Science & Business Media
ISBN: 3642767176
Category : Computers
Languages : en
Pages : 361
Book Description
The NATO Advanced Study Institute on "Computer algorithms for solving linear algebraic equations: the state of the art" was held September 9-21, 1990, at II Ciocco, Barga, Italy. It was attended by 68 students (among them many well known specialists in related fields!) from the following countries: Belgium, Brazil, Canada, Czechoslovakia, Denmark, France, Germany, Greece, Holland, Hungary, Italy, Portugal, Spain, Turkey, UK, USA, USSR, Yugoslavia. Solving linear equations is a fundamental task in most of computational mathematics. Linear systems which are now encountered in practice may be of very large dimension and their solution can still be a challenge in terms of the requirements of accuracy or reasonable computational time. With the advent of supercomputers with vector and parallel features, algorithms which were previously formulated in a framework of sequential operations often need a completely new formulation, and algorithms that were not recommended in a sequential framework may become the best choice. The aim of the ASI was to present the state of the art in this field. While not all important aspects could be covered (for instance there is no presentation of methods using interval arithmetic or symbolic computation), we believe that most important topics were considered, many of them by leading specialists who have contributed substantially to the developments in these fields.
Numerical Approximation of Partial Differential Equations
Author: Alfio Quarteroni
Publisher: Springer Science & Business Media
ISBN: 3540852689
Category : Mathematics
Languages : en
Pages : 551
Book Description
Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov Galerkin and generalized Galerkin), as wellas ofcollocationmethods, is devel oped for the spatial discretization. This theory is then specified to two numer ical subspace realizations of remarkable interest: the finite element method (conforming, non-conforming, mixed, hybrid) and the spectral method (Leg endre and Chebyshev expansion).
Publisher: Springer Science & Business Media
ISBN: 3540852689
Category : Mathematics
Languages : en
Pages : 551
Book Description
Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov Galerkin and generalized Galerkin), as wellas ofcollocationmethods, is devel oped for the spatial discretization. This theory is then specified to two numer ical subspace realizations of remarkable interest: the finite element method (conforming, non-conforming, mixed, hybrid) and the spectral method (Leg endre and Chebyshev expansion).
Mathematical Foundations of Computer Science 1981
Author: J. Gruska
Publisher: Springer Science & Business Media
ISBN: 9783540108566
Category : Computers
Languages : en
Pages : 608
Book Description
Publisher: Springer Science & Business Media
ISBN: 9783540108566
Category : Computers
Languages : en
Pages : 608
Book Description