Recent Developments In Numerical Methods And Software For Odes Daes Pdes

Author : George D. Byrne
Publisher : World Scientific
ISBN 13 : 9789810205577
Total Pages : 226 pages
Book Rating : 4.70/5 ( download)

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Download or read book Recent Developments in Numerical Methods and Software for ODEs/DAEs/PDEs written by George D. Byrne and published by World Scientific. This book was released on 1992 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential equations (ODEs), differential-algebraic equations (DAEs) and partial differential equations (PDEs) are among the forms of mathematics most widely used in science and engineering. Each of these equation types is a focal point for international collaboration and research. This book contains papers by recognized numerical analysts who have made important contributions to the solution of differential systems in the context of realistic applications, and who now report the latest results of their work in numerical methods and software for ODEs/DAEs/PDEs. The papers address parallelization and vectorization of numerical methods, the numerical solution of ODEs/DAEs/PDEs, and the use of these numerical methods in realistic scientific and engineering applications.

Author : Leon Lapidus
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.64/5 ( download)

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Download or read book Numerical Methods for Differential Systems written by Leon Lapidus and published by . This book was released on 1976 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Differential Systems.

Author : Xiaobing Feng
Publisher : American Mathematical Soc.
ISBN 13 : 082182970X
Total Pages : 194 pages
Book Rating : 4.07/5 ( download)

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Download or read book Recent Advances in Numerical Methods for Partial Differential Equations and Applications written by Xiaobing Feng and published by American Mathematical Soc.. This book was released on 2002 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is derived from lectures presented at the 2001 John H. Barrett Memorial Lectures at the University of Tennessee, Knoxville. The topic was computational mathematics, focusing on parallel numerical algorithms for partial differential equations, their implementation and applications in fluid mechanics and material science. Compiled here are articles from six of nine speakers. Each of them is a leading researcher in the field of computational mathematics and its applications. A vast area that has been coming into its own over the past 15 years, computational mathematics has experienced major developments in both algorithmic advances and applications to other fields. These developments have had profound implications in mathematics, science, engineering and industry. With the aid of powerful high performance computers, numerical simulation of physical phenomena is the only feasible method for analyzing many types of important phenomena, joining experimentation and theoretical analysis as the third method of scientific investigation. The three aspects: applications, theory, and computer implementation comprise a comprehensive overview of the topic. Leading lecturers were Mary Wheeler on applications, Jinchao Xu on theory, and David Keyes on computer implementation. Following the tradition of the Barrett Lectures, these in-depth articles and expository discussions make this book a useful reference for graduate students as well as the many groups of researchers working in advanced computations, including engineering and computer scientists.

Author : W.E. Schiesser
Publisher : CRC Press
ISBN 13 : 1498710662
Total Pages : 600 pages
Book Rating : 4.64/5 ( download)

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Download or read book Computational Mathematics in Engineering and Applied Science written by W.E. Schiesser and published by CRC Press. This book was released on 2014-07-22 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Mathematics in Engineering and Applied Science provides numerical algorithms and associated software for solving a spectrum of problems in ordinary differential equations (ODEs), differential algebraic equations (DAEs), and partial differential equations (PDEs) that occur in science and engineering. It presents detailed examples, each

Author : Bud Fox
Publisher : World Scientific
ISBN 13 : 9814492728
Total Pages : 191 pages
Book Rating : 4.20/5 ( download)

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Download or read book Constrained Dynamics Computations: Models & Case Studies written by Bud Fox and published by World Scientific. This book was released on 2000-09-04 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a practical approach to the modelling and computation of real-world systems. Multibody dynamics, planar and spatial modelling, and numerical methods are all pursued to obtain information about the behaviour of various dynamical systems. Each study presents the method of modelling and the ensuing differential equations governing the system behaviour. Integration of the equations yields results which are carefully discussed and which indicate how useful information may be obtained from the study. The studies include planar mechanisms, heavy equipment, automobile crash simulation and a spatial planetary system example. Research students, scientists and engineers will appreciate the practical approach taken in this book.

Author : Bud Fox
Publisher : World Scientific
ISBN 13 : 9789812792532
Total Pages : 200 pages
Book Rating : 4.38/5 ( download)

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Download or read book Constrained Dynamics Computations written by Bud Fox and published by World Scientific. This book was released on 2000 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical approach to the modelling and computation of real-world systems. Multibody dynamics, planar and spatial modelling, and numerical methods are all pursued to obtain information about the behaviour of various dynamical systems. Each study presents the method of modelling and the ensuing differential equations governing the system behaviour. Integration of the equations yields results which are carefully discussed and which indicate how useful information may be obtained from the study. The studies include planar mechanisms, heavy equipment, automobile crash simulation and a spatial planetary system example.

Author : Bengt Fornberg
Publisher : Cambridge University Press
ISBN 13 : 9780521645645
Total Pages : 248 pages
Book Rating : 4.46/5 ( download)

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Download or read book A Practical Guide to Pseudospectral Methods written by Bengt Fornberg and published by Cambridge University Press. This book was released on 1998-10-28 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains how, when and why the pseudospectral approach works.

Author : Daniele Antonio Di Pietro
Publisher : Springer
ISBN 13 : 3319946765
Total Pages : 312 pages
Book Rating : 4.64/5 ( download)

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Download or read book Numerical Methods for PDEs written by Daniele Antonio Di Pietro and published by Springer. This book was released on 2018-10-12 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers contributions from participants of the Introductory School and the IHP thematic quarter on Numerical Methods for PDE, held in 2016 in Cargese (Corsica) and Paris, providing an opportunity to disseminate the latest results and envisage fresh challenges in traditional and new application fields. Numerical analysis applied to the approximate solution of PDEs is a key discipline in applied mathematics, and over the last few years, several new paradigms have appeared, leading to entire new families of discretization methods and solution algorithms. This book is intended for researchers in the field.

Author : Wen-mei Hwu
Publisher : Elsevier
ISBN 13 : 0123859638
Total Pages : 562 pages
Book Rating : 4.31/5 ( download)

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Download or read book GPU Computing Gems Jade Edition written by Wen-mei Hwu and published by Elsevier. This book was released on 2011-09-28 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Since the introduction of CUDA in 2007, more than 100 million computers with CUDA capable GPUs have been shipped to end users. GPU computing application developers can now expect their application to have a mass market. With the introduction of OpenCL in 2010, researchers can now expect to develop GPU applications that can run on hardware from multiple vendors"--

Author : William E. Schiesser
Publisher : John Wiley & Sons
ISBN 13 : 1119130484
Total Pages : 372 pages
Book Rating : 4.82/5 ( download)

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Download or read book Method of Lines PDE Analysis in Biomedical Science and Engineering written by William E. Schiesser and published by John Wiley & Sons. This book was released on 2016-04-18 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the methodology and applications of ODE and PDE models within biomedical science and engineering With an emphasis on the method of lines (MOL) for partial differential equation (PDE) numerical integration, Method of Lines PDE Analysis in Biomedical Science and Engineering demonstrates the use of numerical methods for the computer solution of PDEs as applied to biomedical science and engineering (BMSE). Written by a well-known researcher in the field, the book provides an introduction to basic numerical methods for initial/boundary value PDEs before moving on to specific BMSE applications of PDEs. Featuring a straightforward approach, the book’s chapters follow a consistent and comprehensive format. First, each chapter begins by presenting the model as an ordinary differential equation (ODE)/PDE system, including the initial and boundary conditions. Next, the programming of the model equations is introduced through a series of R routines that primarily implement MOL for PDEs. Subsequently, the resulting numerical and graphical solution is discussed and interpreted with respect to the model equations. Finally, each chapter concludes with a review of the numerical algorithm performance, general observations and results, and possible extensions of the model. Method of Lines PDE Analysis in Biomedical Science and Engineering also includes: Examples of MOL analysis of PDEs, including BMSE applications in wave front resolution in chromatography, VEGF angiogenesis, thermographic tumor location, blood-tissue transport, two fluid and membrane mass transfer, artificial liver support system, cross diffusion epidemiology, oncolytic virotherapy, tumor cell density in glioblastomas, and variable grids Discussions on the use of R software, which facilitates immediate solutions to differential equation problems without having to first learn the basic concepts of numerical analysis for PDEs and the programming of PDE algorithms A companion website that provides source code for the R routines Method of Lines PDE Analysis in Biomedical Science and Engineering is an introductory reference for researchers, scientists, clinicians, medical researchers, mathematicians, statisticians, chemical engineers, epidemiologists, and pharmacokineticists as well as anyone interested in clinical applications and the interpretation of experimental data with differential equation models. The book is also an ideal textbook for graduate-level courses in applied mathematics, BMSE, biology, biophysics, biochemistry, medicine, and engineering.