Spline Collocation Methods For Partial Differential Equations
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Spline Collocation Methods For Partial Differential Equations
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Author : William E. Schiesser
language : en
Publisher: John Wiley & Sons
Release Date : 2017-05-22
Spline Collocation Methods For Partial Differential Equations written by William E. Schiesser 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 2017-05-22 with Mathematics categories.
A comprehensive approach to numerical partial differential equations Spline Collocation Methods for Partial Differential Equations combines the collocation analysis of partial differential equations (PDEs) with the method of lines (MOL) in order to simplify the solution process. Using a series of example applications, the author delineates the main features of the approach in detail, including an established mathematical framework. The book also clearly demonstrates that spline collocation can offer a comprehensive method for numerical integration of PDEs when it is used with the MOL in which spatial (boundary value) derivatives are approximated with splines, including the boundary conditions. R, an open-source scientific programming system, is used throughout for programming the PDEs and numerical algorithms, and each section of code is clearly explained. As a result, readers gain a complete picture of the model and its computer implementation without having to fill in the details of the numerical analysis, algorithms, or programming. The presentation is not heavily mathematical, and in place of theorems and proofs, detailed example applications are provided. Appropriate for scientists, engineers, and applied mathematicians, Spline Collocation Methods for Partial Differential Equations: Introduces numerical methods by first presenting basic examples followed by more complicated applications Employs R to illustrate accurate and efficient solutions of the PDE models Presents spline collocation as a comprehensive approach to the numerical integration of PDEs and an effective alternative to other, well established methods Discusses how to reproduce and extend the presented numerical solutions Identifies the use of selected algorithms, such as the solution of nonlinear equations and banded or sparse matrix processing Features a companion website that provides the related R routines Spline Collocation Methods for Partial Differential Equations is a valuable reference and/or self-study guide for academics, researchers, and practitioners in applied mathematics and engineering, as well as for advanced undergraduates and graduate-level students.
On The Asymptotic Convergence Of Spline Collocation Methods For Partial Differential Equations
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Author : D. N. Arnold
language : en
Publisher:
Release Date : 1983
On The Asymptotic Convergence Of Spline Collocation Methods For Partial Differential Equations written by D. N. Arnold and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Mathematics For Large Scale Computing
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Author : Julio Diaz
language : en
Publisher: CRC Press
Release Date : 1989-07-28
Mathematics For Large Scale Computing written by Julio Diaz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-07-28 with Mathematics categories.
During recent years a great deal of interest has been devoted to large scale computing applications. The book contains survey articles as well as chapters on specific research applications, development and analysis of numerical algorithms, and performance evaluation of algorithms on advanced architectures.
Quadratic Spline Collocation Methods For Elliptic Partial Differential Equations
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Author : Christina C. Christara
language : en
Publisher:
Release Date : 1990
Quadratic Spline Collocation Methods For Elliptic Partial Differential Equations written by Christina C. Christara and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Advanced Mathematical Techniques In Engineering Sciences
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Author : Mangey Ram
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Advanced Mathematical Techniques In Engineering Sciences written by Mangey Ram and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
The goal of this book is to publish the latest mathematical techniques, research, and developments in engineering. This book includes a comprehensive range of mathematics applied in engineering areas for different tasks. Various mathematical tools, techniques, strategies, and methods in engineering applications are covered in each chapter. Mathematical techniques are the strength of engineering sciences and form the common foundation of all novel disciplines within the field. Advanced Mathematical Techniques in Engineering Sciences provides an ample range of mathematical tools and techniques applied across various fields of engineering sciences. Using this book, engineers will gain a greater understanding of the practical applications of mathematics in engineering sciences. Features Covers the mathematical techniques applied in engineering sciences Focuses on the latest research in the field of engineering applications Provides insights on an international and transnational scale Offers new studies and research in modeling and simulation
Collocation Methods For Parabolic Equations In A Single Space Variable
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Author : J.jr. Douglas
language : en
Publisher: Springer
Release Date : 2006-08-01
Collocation Methods For Parabolic Equations In A Single Space Variable written by J.jr. Douglas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-01 with Mathematics categories.
Intelligent Mathematical Software Systems
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Author : E.N. Houstis
language : en
Publisher: Elsevier
Release Date : 1990-07-03
Intelligent Mathematical Software Systems written by E.N. Houstis and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-07-03 with Computers categories.
Most of the well-known mathematical software systems are batch oriented, though in the past few years there have been attempts to incorporate ``knowledge'' or ``expertise'' into these systems. A number of developments have helped in making the systems more powerful and user-friendly: algorithm/parameter selection for the solution of well-defined mathematical engineering problems; parallel computing; computer graphics technology; interface development tools; and of course the years of experience with these systems and the increase in available computing power have made it practical to fulfill the potential seen in the early years of their development.This book covers four main areas of the subject: Application Oriented Expert Systems, Advisory Systems, Knowledge Manipulation Issues, and User Interfaces.
Recent Trends In Physics Of Material Science And Technology
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Author : Ford Lumban Gaol
language : en
Publisher: Springer
Release Date : 2014-12-27
Recent Trends In Physics Of Material Science And Technology written by Ford Lumban Gaol and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-27 with Science categories.
This book discusses in detail the recent trends in Computational Physics, Nano-physics and Devices Technology. Numerous modern devices with very high accuracy, are explored In conditions such as longevity and extended possibilities to work in wide temperature and pressure ranges, aggressive media, etc. This edited volume presents 32 selected papers of the 2013 International Conference on Science & Engineering in Mathematics, Chemistry and Physics. The book is divided into three scientific Sections: (i) Computational Physics, (ii) Nanophysics and Technology, (iii) Devices and Systems and is addressed to Professors, post-graduate students, scientists and engineers taking part in R&D of nano-materials, ferro-piezoelectrics, computational Physics and devices system, and also different devices based on broad applications in different areas of modern science and technology.
Advances In Computer Methods For Partial Differential Equations V
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Author : Robert Vichnevetsky
language : en
Publisher:
Release Date : 1984
Advances In Computer Methods For Partial Differential Equations V written by Robert Vichnevetsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Differential equations, Partial categories.