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.
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.
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.
Advances In Computer Methods For Partial Differential Equations
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Author :
language : en
Publisher:
Release Date : 1987
Advances In Computer Methods For Partial Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Differential equations, Partial categories.
Ict Applications And Social Interfaces
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Author : Amit Joshi
language : en
Publisher: Springer Nature
Release Date : 2025-08-13
Ict Applications And Social Interfaces written by Amit Joshi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-13 with Technology & Engineering categories.
This book contains best selected research papers presented at ICTCS 2024: Ninth International Conference on Information and Communication Technology for Competitive Strategies. The conference will be held in Jaipur, India during 19 – 21 December 2024. The book covers state-of-the-art as well as emerging topics pertaining to ICT and effective strategies for its implementation for engineering and managerial applications. This book contains papers mainly focused on ICT for computation, algorithms and data analytics and IT security. The work is presented in ten volumes.
Partial Differential Equations
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Author : D. Sloan
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Partial Differential Equations written by D. Sloan and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
/homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price ! Over the second half of the 20th century the subject area loosely referred to as numerical analysis of partial differential equations (PDEs) has undergone unprecedented development. At its practical end, the vigorous growth and steady diversification of the field were stimulated by the demand for accurate and reliable tools for computational modelling in physical sciences and engineering, and by the rapid development of computer hardware and architecture. At the more theoretical end, the analytical insight into the underlying stability and accuracy properties of computational algorithms for PDEs was deepened by building upon recent progress in mathematical analysis and in the theory of PDEs. To embark on a comprehensive review of the field of numerical analysis of partial differential equations within a single volume of this journal would have been an impossible task. Indeed, the 16 contributions included here, by some of the foremost world authorities in the subject, represent only a small sample of the major developments. We hope that these articles will, nevertheless, provide the reader with a stimulating glimpse into this diverse, exciting and important field. The opening paper by Thomée reviews the history of numerical analysis of PDEs, starting with the 1928 paper by Courant, Friedrichs and Lewy on the solution of problems of mathematical physics by means of finite differences. This excellent survey takes the reader through the development of finite differences for elliptic problems from the 1930s, and the intense study of finite differences for general initial value problems during the 1950s and 1960s. The formulation of the concept of stability is explored in the Lax equivalence theorem and the Kreiss matrix lemmas. Reference is made to the introduction of the finite element method by structural engineers, and a description is given of the subsequent development and mathematical analysis of the finite element method with piecewise polynomial approximating functions. The penultimate section of Thomée's survey deals with `other classes of approximation methods', and this covers methods such as collocation methods, spectral methods, finite volume methods and boundary integral methods. The final section is devoted to numerical linear algebra for elliptic problems. The next three papers, by Bialecki and Fairweather, Hesthaven and Gottlieb and Dahmen, describe, respectively, spline collocation methods, spectral methods and wavelet methods. The work by Bialecki and Fairweather is a comprehensive overview of orthogonal spline collocation from its first appearance to the latest mathematical developments and applications. The emphasis throughout is on problems in two space dimensions. The paper by Hesthaven and Gottlieb presents a review of Fourier and Chebyshev pseudospectral methods for the solution of hyperbolic PDEs. Particular emphasis is placed on the treatment of boundaries, stability of time discretisations, treatment of non-smooth solutions and multidomain techniques. The paper gives a clear view of the advances that have been made over the last decade in solving hyperbolic problems by means of spectral methods, but it shows that many critical issues remain open. The paper by Dahmen reviews the recent rapid growth in the use of wavelet methods for PDEs. The author focuses on the use of adaptivity, where significant successes have recently been achieved. He describes the potential weaknesses of wavelet methods as well as the perceived strengths, thus giving a balanced view that should encourage the study of wavelet methods.
Mathematics For Large Scale Computing
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Author : Julio Diaz
language : en
Publisher: CRC Press
Release Date : 2020-06-29
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 2020-06-29 with Mathematics categories.
During recent years a great deal of interest has been devoted to large scale computing applications. This has occurred in great part because of the introduction of advanced high performance computer architectures. 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. The effect of specialized architectural features on the performance of large scale computation is also considered by several authors. Several areas of applications are represented, including the numerical solution of partial differential equations, iterative techniques for large structured problems, the numerical solution of boundary value problems for ordinary differential equations, numerical optimization, and numerical quadrature. Mathematical issues in computer architecture are also presented, including the description of grey codes for generalized hypercubes. The results presented in this volume give, in our opinion, a representative picture of today’s state of the art in several aspects of large scale computing.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1984
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mechanics, Applied categories.