Adaptive Computational Methods for Partial Differential Equations

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Publisher : SIAM
ISBN 13 : 9780898711912
Total Pages : 272 pages
Book Rating : 4.7/5 (119 download)

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Book Synopsis Adaptive Computational Methods for Partial Differential Equations by : Ivo Babushka

Download or read book Adaptive Computational Methods for Partial Differential Equations written by Ivo Babushka and published by SIAM. This book was released on 1983-01-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: List of participants; Elliptic equations; Parabolic equations; Hyperbolic equations.

Self Adaptive Methods for Parabolic Partial Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Self Adaptive Methods for Parabolic Partial Differential Equations by : Dennis B. Gannon

Download or read book Self Adaptive Methods for Parabolic Partial Differential Equations written by Dennis B. Gannon and published by . This book was released on 1980 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multilevel Adaptive Methods for Partial Differential Equations

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Publisher : SIAM
ISBN 13 : 0898712475
Total Pages : 166 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Multilevel Adaptive Methods for Partial Differential Equations by : Stephen F. McCormick

Download or read book Multilevel Adaptive Methods for Partial Differential Equations written by Stephen F. McCormick and published by SIAM. This book was released on 1989-01-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical handbook for understanding and using fast adaptive composite grid (FAC) methods for discretization and solution of partial differential equations (PDEs). Contains fundamental concepts. These so-called FAC are characterized by their use of a composite grid, which is nominally the union of various uniform grids. FAC is capable of producing a composite grid with tailored resolution, and a corresponding solution with commensurate accuracy, at a cost proportional to the number of composite grid points. Moreover, special asynchronous versions of the fast adaptive composite grid methods (AFAC) studied here have seemingly optimal complexity in a parallel computing environment. Most of the methods treated in this book were discovered only within the last decade, and in many cases their development is still in its infancy. While this is not meant to be comprehensive, it does provide a theoretical and practical guide to multilevel adaptive methods and relevant discretization techniques.

Adaptive Methods for Partial Differential Equations

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Publisher : SIAM
ISBN 13 : 9780898712421
Total Pages : 382 pages
Book Rating : 4.7/5 (124 download)

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Book Synopsis Adaptive Methods for Partial Differential Equations by : Ivo Babushka

Download or read book Adaptive Methods for Partial Differential Equations written by Ivo Babushka and published by SIAM. This book was released on 1989-01-01 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Proceedings of the Workshop on Adaptive Computational Methods for Partial Differential Equations, Rensselaer Polytechnic Institute, October 13-15, 1988"--T.p. verso.

Numerical Methods for Elliptic and Parabolic Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 038795449X
Total Pages : 437 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Numerical Methods for Elliptic and Parabolic Partial Differential Equations by : Peter Knabner

Download or read book Numerical Methods for Elliptic and Parabolic Partial Differential Equations written by Peter Knabner and published by Springer Science & Business Media. This book was released on 2003-06-26 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.

Transactions of the Second Army Conference on Applied Mathematics and Computing

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Publisher :
ISBN 13 :
Total Pages : 956 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Transactions of the Second Army Conference on Applied Mathematics and Computing by :

Download or read book Transactions of the Second Army Conference on Applied Mathematics and Computing written by and published by . This book was released on 1986 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multigrid Methods

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Publisher : SIAM
ISBN 13 : 1611971055
Total Pages : 292 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Multigrid Methods by : Stephen F. McCormick

Download or read book Multigrid Methods written by Stephen F. McCormick and published by SIAM. This book was released on 1987-12-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Moving Mesh Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 1441979166
Total Pages : 446 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Adaptive Moving Mesh Methods by : Weizhang Huang

Download or read book Adaptive Moving Mesh Methods written by Weizhang Huang and published by Springer Science & Business Media. This book was released on 2010-10-26 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. Graduate students, researchers and practitioners working in this area will benefit from this book.

Third International Symposium on Domain Decomposition Methods for Partial Differential Equations

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Publisher : SIAM
ISBN 13 : 9780898712537
Total Pages : 518 pages
Book Rating : 4.7/5 (125 download)

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Book Synopsis Third International Symposium on Domain Decomposition Methods for Partial Differential Equations by : Tony F. Chan

Download or read book Third International Symposium on Domain Decomposition Methods for Partial Differential Equations written by Tony F. Chan and published by SIAM. This book was released on 1990-01-01 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Large Scale Scientific Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 1468467549
Total Pages : 390 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Large Scale Scientific Computing by : Deuflhard

Download or read book Large Scale Scientific Computing written by Deuflhard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the new and rapidly expanding field of scientific computing is understood in a double sense: as computing for scientific and engineering problems and as the science of doing such computations. Thus scientific computing touches at one side mathematical modelling (in the various fields of applications) and at the other side computer science. As soon as the mathematical models de scribe the features of real life processes in sufficient detail, the associated computations tend to be large scale. As a consequence, interest more and more focusses on such numerical methods that can be expected to cope with large scale computational problems. Moreover, given the algorithms which are known to be efficient on a tradi tional computer, the question of implementation on modern supercomputers may get crucial. The present book is the proceedings of a meeting on "Large Scale Scientific Computing" , that was held a t the Oberwolfach Mathematical Institute (July 14-19, 1985) under the auspices of the Sonderforschungsbereich 123 of the University of Heidelberg. Participants included applied scientists with computational interests, numerical analysts, and experts on modern parallel computers. 'l'he purpose of the meeting was to establish a common under standing of recent issues in scientific computing, especially in view of large scale problems. Fields of applications, which have been covered, included semi-conductor design, chemical combustion, flow through porous media, climatology, seismology, fluid dynami. cs, tomography, rheology, hydro power plant optimization, subwil. y control, space technology.

Defect Correction Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3709170230
Total Pages : 247 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Defect Correction Methods by : K. Böhmer

Download or read book Defect Correction Methods written by K. Böhmer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years ago, the term "defect correction" was introduced to characterize a class of methods for the improvement of an approximate solution of an operator equation. This class includes many well-known techniques (e.g. Newton's method) but also some novel approaches which have turned out to be quite efficient. Meanwhile a large number of papers and reports, scattered over many journals and institutions, have appeared in this area. Therefore, a working conference on "Error Asymptotics and Defect Corrections" was organized by K. Bohmer, V. Pereyra and H. J. Stetter at the Mathematisches Forschungsinstitut Oberwolfach in July 1983, a meeting which aimed at bringing together a good number of the scientists who are active in this field. Altogether 26 persons attended, whose interests covered a wide spectrum from theoretical analyses to applications where defect corrections may be utilized; a list of the participants may be found in the Appendix. Most of the colleagues who presented formal lectures at the meeting agreed to publish their reports in this volume. It would be presumptuous to call this book a state-of-the-art report in defect corrections. It is rather a collection of snapshots of activities which have been going on in a number of segments on the frontiers of this area. No systematic coverage has been attempted. Some articles focus strongly on the basic concepts of defect correction; but in the majority of the contributions the defect correction ideas appear rather as instruments for the attainment of some specified goal.

Numerical Approximation of Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3540852689
Total Pages : 551 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Numerical Approximation of Partial Differential Equations by : Alfio Quarteroni

Download or read book Numerical Approximation of Partial Differential Equations written by Alfio Quarteroni and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Energy Research Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1740 pages
Book Rating : 4.U/5 (183 download)

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Book Synopsis Energy Research Abstracts by :

Download or read book Energy Research Abstracts written by and published by . This book was released on 1981 with total page 1740 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Computer Methods for Partial Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 580 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Advances in Computer Methods for Partial Differential Equations by :

Download or read book Advances in Computer Methods for Partial Differential Equations written by and published by . This book was released on 1984 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parallel Algorithms for Matrix Computations

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Publisher : SIAM
ISBN 13 : 0898712602
Total Pages : 204 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Parallel Algorithms for Matrix Computations by : K. Gallivan

Download or read book Parallel Algorithms for Matrix Computations written by K. Gallivan and published by SIAM. This book was released on 1990-01-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.

Multilevel Projection Methods for Partial Differential Equations

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Publisher : SIAM
ISBN 13 : 1611970091
Total Pages : 118 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Multilevel Projection Methods for Partial Differential Equations by : Stephen F. McCormick

Download or read book Multilevel Projection Methods for Partial Differential Equations written by Stephen F. McCormick and published by SIAM. This book was released on 1992-01-01 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: The multilevel projection method is a new formalism that provides a framework for the development of multilevel algorithms in a very general setting. This methodology guides the choices of all the major multilevel processes, including relaxation and coarsening, and it applies directly to global or locally-refined discretizations. This book was developed from lectures at the CBMS-NSF Regional Conference on Multigrid and Multilevel Adaptive Methods for Partial Differential Equations in June 1991, and is a supplement to Multilevel Adaptive Methods for Partial Differential Equations, also written by Stephen F. McCormick.