Eigenmodes Of Isospectral Drums
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Eigenmodes Of Isospectral Drums
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Author : Tobin A. Driscoll
language : en
Publisher:
Release Date : 1995
Eigenmodes Of Isospectral Drums written by Tobin A. Driscoll and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Eigenvalues categories.
Eigenvalues Of Inhomogeneous Structures
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Author : Isaac Elishakoff
language : en
Publisher: CRC Press
Release Date : 2004-10-28
Eigenvalues Of Inhomogeneous Structures written by Isaac Elishakoff and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-28 with Science categories.
The engineering community generally accepts that there exists only a small set of closed-form solutions for simple cases of bars, beams, columns, and plates. Despite the advances in powerful computing and advanced numerical techniques, closed-form solutions remain important for engineering; these include uses for preliminary design, for evaluation
Green S Functions And Boundary Value Problems
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Author : Ivar Stakgold
language : en
Publisher: John Wiley & Sons
Release Date : 2011-02-08
Green S Functions And Boundary Value Problems written by Ivar Stakgold and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-08 with Mathematics categories.
Praise for the Second Edition "This book is an excellent introduction to the wide field of boundary value problems."—Journal of Engineering Mathematics "No doubt this textbook will be useful for both students and research workers."—Mathematical Reviews A new edition of the highly-acclaimed guide to boundary value problems, now featuring modern computational methods and approximation theory Green's Functions and Boundary Value Problems, Third Edition continues the tradition of the two prior editions by providing mathematical techniques for the use of differential and integral equations to tackle important problems in applied mathematics, the physical sciences, and engineering. This new edition presents mathematical concepts and quantitative tools that are essential for effective use of modern computational methods that play a key role in the practical solution of boundary value problems. With a careful blend of theory and applications, the authors successfully bridge the gap between real analysis, functional analysis, nonlinear analysis, nonlinear partial differential equations, integral equations, approximation theory, and numerical analysis to provide a comprehensive foundation for understanding and analyzing core mathematical and computational modeling problems. Thoroughly updated and revised to reflect recent developments, the book includes an extensive new chapter on the modern tools of computational mathematics for boundary value problems. The Third Edition features numerous new topics, including: Nonlinear analysis tools for Banach spaces Finite element and related discretizations Best and near-best approximation in Banach spaces Iterative methods for discretized equations Overview of Sobolev and Besov space linear Methods for nonlinear equations Applications to nonlinear elliptic equations In addition, various topics have been substantially expanded, and new material on weak derivatives and Sobolev spaces, the Hahn-Banach theorem, reflexive Banach spaces, the Banach Schauder and Banach-Steinhaus theorems, and the Lax-Milgram theorem has been incorporated into the book. New and revised exercises found throughout allow readers to develop their own problem-solving skills, and the updated bibliographies in each chapter provide an extensive resource for new and emerging research and applications. With its careful balance of mathematics and meaningful applications, Green's Functions and Boundary Value Problems, Third Edition is an excellent book for courses on applied analysis and boundary value problems in partial differential equations at the graduate level. It is also a valuable reference for mathematicians, physicists, engineers, and scientists who use applied mathematics in their everyday work.
Music A Mathematical Offering
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Author : Dave Benson
language : en
Publisher: Cambridge University Press
Release Date : 2007
Music A Mathematical Offering written by Dave Benson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.
Recent Advances In Differential Equations And Mathematical Physics
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Author : Nikolai Chernov
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Recent Advances In Differential Equations And Mathematical Physics written by Nikolai Chernov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Surveys topics in differential equations that are associated with mathematical physics. This book includes such topics as asymptotic formulas for the ground-state energy of fermionic gas, $J$-self adjoint Dirac operators, and spectral theory of Schrodinger operators. It is suitable for mathematicians and physicists.
Spectral Hp Element Methods For Computational Fluid Dynamics
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Author : George Karniadakis
language : en
Publisher: Oxford University Press, USA
Release Date : 2013-01-10
Spectral Hp Element Methods For Computational Fluid Dynamics written by George Karniadakis and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-10 with Mathematics categories.
Completely revised and expanded new edition covering the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Written by leading experts, it is a must-have for students, academics and practitioners in computational fluid mechanics and related fields.
Combined Methods For Elliptic Equations With Singularities Interfaces And Infinities
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Author : Zi Cai Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Combined Methods For Elliptic Equations With Singularities Interfaces And Infinities written by Zi Cai Li and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid. Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students.
Chebyshev Polynomials
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Author : J.C. Mason
language : en
Publisher: CRC Press
Release Date : 2002-09-17
Chebyshev Polynomials written by J.C. Mason and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-17 with Mathematics categories.
Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particular importance in recent advances in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynomials has been published since 1990, and even that work focuse
Advances In Imaging And Electron Physics
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Author :
language : en
Publisher: Academic Press
Release Date : 2011-06-30
Advances In Imaging And Electron Physics written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-30 with Technology & Engineering categories.
Advances in Imaging and Electron Physics merges two long-running serials--Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains. - Contributions from leading international scholars and industry experts - Discusses hot topic areas and presents current and future research trends - Invaluable reference and guide for physicists, engineers and mathematicians
Numerical Computing With Matlab
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Author : Cleve B. Moler
language : en
Publisher: SIAM
Release Date : 2010-08-12
Numerical Computing With Matlab written by Cleve B. Moler and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-12 with Computers categories.
A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.