Quadratic Spline Collocation Methods For Elliptic Partial Differential Equations
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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.
Quadratic Spline Collocation Methods For Elliptic Partial Differeintial I E Differential Equations
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Author : Christina C. Christara
language : en
Publisher:
Release Date : 1990
Quadratic Spline Collocation Methods For Elliptic Partial Differeintial I E 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.
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.
Recent Advances In Computational Sciences Selected Papers From The International Workshop On Computational Sciences And Its Education
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Author : Xiaoping Shen
language : en
Publisher: World Scientific
Release Date : 2008-07-31
Recent Advances In Computational Sciences Selected Papers From The International Workshop On Computational Sciences And Its Education written by Xiaoping Shen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-31 with Mathematics categories.
This book presents state-of-the-art lectures delivered by international academic and industrial experts in the field of computational science and its education, covering a wide spectrum from theory to practice. Topics include new developments in finite element method (FEM), finite volume method and Spline theory, such as Moving Mesh Methods, Galerkin and Discontinuous Galerkin Schemes, Shape Gradient Methods, Mixed FEMs, Superconvergence techniques and Fourier spectral approximations with applications in multidimensional fluid dynamics; Maxwell equations in discrepancy media; and phase-field equations. It also discusses some interesting topics related to Stokes equations, Schrödinger equations, wavelet analysis and approximation theory. Contemporary teaching issues in curriculum reform also form an integral part of the book.This book will therefore be of significant interest and value to all graduates, research scientists and practitioners facing complex computational problems. Administrators and policymakers will find it is an addition to their mathematics curriculum reform libraries.
Contemporary Computational Mathematics A Celebration Of The 80th Birthday Of Ian Sloan
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Author : Josef Dick
language : en
Publisher: Springer
Release Date : 2018-05-23
Contemporary Computational Mathematics A Celebration Of The 80th Birthday Of Ian Sloan written by Josef Dick and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-23 with Mathematics categories.
This book is a tribute to Professor Ian Hugh Sloan on the occasion of his 80th birthday. It consists of nearly 60 articles written by international leaders in a diverse range of areas in contemporary computational mathematics. These papers highlight the impact and many achievements of Professor Sloan in his distinguished academic career. The book also presents state of the art knowledge in many computational fields such as quasi-Monte Carlo and Monte Carlo methods for multivariate integration, multi-level methods, finite element methods, uncertainty quantification, spherical designs and integration on the sphere, approximation and interpolation of multivariate functions, oscillatory integrals, and in general in information-based complexity and tractability, as well as in a range of other topics. The book also tells the life story of the renowned mathematician, family man, colleague and friend, who has been an inspiration to many of us. The reader may especially enjoy the story from the perspective of his family, his wife, his daughter and son, as well as grandchildren, who share their views of Ian. The clear message of the book is that Ian H. Sloan has been a role model in science and life.
Siam Journal On Scientific Computing
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Author :
language : en
Publisher:
Release Date : 2006
Siam Journal On Scientific Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematical statistics categories.
Recent Developments In Mechatronics And Intelligent Robotics
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Author : Feng Qiao
language : en
Publisher: Springer
Release Date : 2017-11-11
Recent Developments In Mechatronics And Intelligent Robotics written by Feng Qiao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-11 with Technology & Engineering categories.
This book gathers the Proceedings of the International Conference on Mechatronics and Intelligent Robotics (ICMIR2017), held in Kunming, China, on May 20–21, 2017. The book covers a total of 172 papers, which have been divided into seven different sections: Intelligent Systems, Intelligent Sensors & Actuators, Robotics, Mechatronics, Modeling & Simulation, Automation & Control, and Robot Vision. ICMIR2017 provided a vital forum for discussing the latest and most innovative ideas from both the industrial and academic worlds, and for sharing best practices in the fields of mechanical engineering, mechatronics, automatic control, electrical engineering, finite element analysis and computational engineering. The main focus of the conference was on promoting interaction between academia and industry, allowing the free exchange of ideas and challenges faced by these two key stakeholders and encouraging future collaboration between the members of these groups. The proceedings cover new findings in the following areas of research and will offer readers valuable insights: Mechatronics Intelligent mechatronics, robotics and biomimetics; Novel and unconventional mechatronic systems; Modeling and control of mechatronics systems; Elements, structures and mechanisms of micro and nano systems; Sensors, wireless sensor networks and multi-sensor data fusion; Biomedical and rehabilitation engineering, prosthetics and artificial organs; Artificial Intelligence (AI), neural networks and fuzzy logic in mechatronics and robotics; Industrial automation, process control and networked control systems; Telerobotics, Human–Computer Interaction; and Human–Robot Interaction. Robotics Artificial Intelligence; Bio-inspired robotics; Control algorithms and control systems; Design theories and principles; Evolutional robotics; Field robotics; Force sensors, accelerometers, and other measuring devices; Healthcare robotics; Human–Robot Interaction; Kinematics and dynamics analysis; Manufacturing robotics; Mathematical and computational methodologies in robotics; Medical robotics; Parallel robots and manipulators; Robotic cognition and emotion; Robotic perception and decisions; Sensor integration, fusion, and perception; and Social robotics.
Lecture Notes In Pure And Applied Mathematics
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Author :
language : en
Publisher:
Release Date : 1989
Lecture Notes In Pure And Applied Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
Conference Proceedings
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Author :
language : en
Publisher:
Release Date : 1988
Conference Proceedings written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Supercomputers categories.