Numerical Mathematics and Advanced Applications

Proceedings of ENUMATH 2005 the 6th European Conference on Numerical Mathematics and Advanced Applications, Santiago de Compostela, Spain, July 2005

Author: Alfredo Bermúdez de Castro,Dolores Gómez,Peregrina Quintela,Pilar Salgado

Publisher: Springer Science & Business Media

ISBN: 3540342885

Category: Mathematics

Page: 1232

View: 8410

These proceedings collect lectures given at ENUMATH 2005, the 6th European Conference on Numerical Mathematics and Advanced Applications held in Santiago de Compostela, Spain in July, 2005. Topics include applications such as fluid dynamics, electromagnetism, structural mechanics, interface problems, waves, finance, heat transfer, unbounded domains, numerical linear algebra, convection-diffusion, as well as methodologies such as a posteriori error estimates, discontinuous Galerkin methods, multiscale methods, optimization, and more.

Lectures on Numerical Mathematics

Author: H. Rutishauser

Publisher: Springer Science & Business Media

ISBN: 1461234689

Category: Mathematics

Page: 546

View: 1088

The present book is an edition of the manuscripts to the courses "Numerical Methods I" and "Numerical Mathematics I and II" which Professor H. Rutishauser held at the E.T.H. in Zurich. The first-named course was newly conceived in the spring semester of 1970, and intended for beginners, while the two others were given repeatedly as elective courses in the sixties. For an understanding of most chapters the funda mentals of linear algebra and calculus suffice. In some places a little complex variable theory is used in addition. However, the reader can get by without any knowledge of functional analysis. The first seven chapters discuss the direct solution of systems of linear equations, the solution of nonlinear systems, least squares prob lems, interpolation by polynomials, numerical quadrature, and approxima tion by Chebyshev series and by Remez' algorithm. The remaining chapters include the treatment of ordinary and partial differential equa tions, the iterative solution of linear equations, and a discussion of eigen value problems. In addition, there is an appendix dealing with the qd algorithm and with an axiomatic treatment of computer arithmetic.

Continuous System Simulation

Author: François E. Cellier,Ernesto Kofman

Publisher: Springer Science & Business Media

ISBN: 0387302603

Category: Computers

Page: 644

View: 5123

Highly computer-oriented text, introducing numerical methods and algorithms along with the applications and conceptual tools. Includes homework problems, suggestions for research projects, and open-ended questions at the end of each chapter. Written by our successful author who also wrote Continuous System Modeling, a best-selling Springer book first published in the 1991 (sold about 1500 copies).

Advances in computer methods for partial differential equations-VI

proceedings of the sixth IMACS International Symposium on Computer Methods for Partial Differential Equations, held at Lehigh University, Bethlehem, Pennsylvania, U.S.A., June 23-25, 1987

Author: International Association for Mathematics and Computers in Simulation,United States. Office of Naval Research

Publisher: N.A

ISBN: N.A

Category: Differential equations, Partial

Page: 565

View: 2738

Computational and Applied Mathematics, II

Differential Equations : Selected and Revised Papers from the IMACS World Congress, Dublin, Ireland, July 1991

Author: William F. Ames,Pieter Jacobus Houwen

Publisher: North Holland

ISBN: N.A

Category: Mathematics

Page: 373

View: 9456

Differential equations are the pre-eminent modelling device of engineering and the applied sciences. This volume contains a refereed subset of papers presented at the 1991 IMACS World Congress. A natural subdivision occurred - General Theory, Specific Differential Equations and Computational Methods. There are eleven papers in the area termed General Theory. Seventeen papers concern Specific Differential Equations - both ordinary and partial - which have been used to model various phenomena. Finally, fourteen papers are devoted to a variety of Computational Methods.

Advances in computer methods for partial differential equations-V

proceedings of the fifth IMACS International Symposium on Computer Methods for Partial Differential Equations, held at Lehigh University, Bethlehem, Pennsylvania, U.S.A., June 19-June 21, 1984

Author: International Association for Mathematics and Computers in Simulation,United States. Office of Naval Research

Publisher: N.A

ISBN: N.A

Category: Differential equations, Partial

Page: 558

View: 7243

Journal of the Franklin Institute

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Meteorology

Page: N.A

View: 1631

Vols. 1-69 include more or less complete patent reports of the U. S. Patent Office for years 1825-1859. cf. Index to v. 1-120 of the Journal, p. [415]

AIAA Journal

Author: American Institute of Aeronautics and Astronautics

Publisher: N.A

ISBN: N.A

Category: Aeronautics

Page: N.A

View: 2542

Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 5641

SIAM Journal on Scientific Computing

A Publication of the Society for Industrial and Applied Mathematics

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Science

Page: N.A

View: 8925

Reviews in numerical analysis, 1980-86

as printed in Mathematical reviews

Author: American Mathematical Society

Publisher: Amer Mathematical Society

ISBN: 9780821801024

Category: Mathematics

Page: 627

View: 7681

Time-Dependent Problems and Difference Methods

Author: Bertil Gustafsson,Heinz-Otto Kreiss,Joseph Oliger

Publisher: John Wiley & Sons

ISBN: 1118548523

Category: Mathematics

Page: 528

View: 9504

Praise for the First Edition ". . . fills a considerable gap in the numerical analysisliterature by providing a self-contained treatment . . . this is animportant work written in a clear style . . . warmly recommended toany graduate student or researcher in the field of the numericalsolution of partial differential equations." —SIAM Review Time-Dependent Problems and Difference Methods, SecondEdition continues to provide guidance for the analysis ofdifference methods for computing approximate solutions to partialdifferential equations for time-dependent problems. The book treatsdifferential equations and difference methods with a paralleldevelopment, thus achieving a more useful analysis of numericalmethods. The Second Edition presents hyperbolic equations in greatdetail as well as new coverage on second-order systems of waveequations including acoustic waves, elastic waves, and Einsteinequations. Compared to first-order hyperbolic systems,initial-boundary value problems for such systems contain newproperties that must be taken into account when analyzingstability. Featuring the latest material in partial differentialequations with new theorems, examples, andillustrations,Time-Dependent Problems and Difference Methods,Second Edition also includes: High order methods on staggered grids Extended treatment of Summation By Parts operators and theirapplication to second-order derivatives Simplified presentation of certain parts and proofs Time-Dependent Problems and Difference Methods, SecondEdition is an ideal reference for physical scientists,engineers, numerical analysts, and mathematical modelers who usenumerical experiments to test designs and to predict andinvestigate physical phenomena. The book is also excellent forgraduate-level courses in applied mathematics and scientificcomputations.

Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition

Author: N.A

Publisher: ScholarlyEditions

ISBN: 1464964785

Category: Mathematics

Page: 993

View: 2613

Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Logic, Operations, and Computational Mathematics and Geometry. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Logic, Operations, and Computational Mathematics and Geometry in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 9080

Partial Differential Equations of Applied Mathematics

Author: Erich Zauderer

Publisher: John Wiley & Sons

ISBN: 1118031407

Category: Mathematics

Page: 968

View: 4779

This new edition features the latest tools for modeling, characterizing, and solving partial differential equations The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations (PDEs). The author provides all the theory and tools necessary to solve problems via exact, approximate, and numerical methods. The Third Edition retains all the hallmarks of its previous editions, including an emphasis on practical applications, clear writing style and logical organization, and extensive use of real-world examples. Among the new and revised material, the book features: * A new section at the end of each original chapter, exhibiting the use of specially constructed Maple procedures that solve PDEs via many of the methods presented in the chapters. The results can be evaluated numerically or displayed graphically. * Two new chapters that present finite difference and finite element methods for the solution of PDEs. Newly constructed Maple procedures are provided and used to carry out each of these methods. All the numerical results can be displayed graphically. * A related FTP site that includes all the Maple code used in the text. * New exercises in each chapter, and answers to many of the exercises are provided via the FTP site. A supplementary Instructor's Solutions Manual is available. The book begins with a demonstration of how the three basic types of equations-parabolic, hyperbolic, and elliptic-can be derived from random walk models. It then covers an exceptionally broad range of topics, including questions of stability, analysis of singularities, transform methods, Green's functions, and perturbation and asymptotic treatments. Approximation methods for simplifying complicated problems and solutions are described, and linear and nonlinear problems not easily solved by standard methods are examined in depth. Examples from the fields of engineering and physical sciences are used liberally throughout the text to help illustrate how theory and techniques are applied to actual problems. With its extensive use of examples and exercises, this text is recommended for advanced undergraduates and graduate students in engineering, science, and applied mathematics, as well as professionals in any of these fields. It is possible to use the text, as in the past, without use of the new Maple material.