Elements Of Partial Differential Equations
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Elements Of Partial Differential Equations
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Author : Ian N. Sneddon
language : en
Publisher: Courier Corporation
Release Date : 2006-01-01
Elements Of Partial Differential Equations written by Ian N. Sneddon and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
Geared toward students of applied rather than pure mathematics, this volume introduces elements of partial differential equations. Its focus is primarily upon finding solutions to particular equations rather than general theory. Topics include ordinary differential equations in more than two variables, partial differential equations of the first and second orders, Laplace's equation, the wave equation, and the diffusion equation. A helpful Appendix offers information on systems of surfaces, and solutions to the odd-numbered problems appear at the end of the book. Readers pursuing independent study will particularly appreciate the worked examples that appear throughout the text.
Elements Of Partial Differential Equations
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Author : Ian Naismith Sneddon
language : en
Publisher:
Release Date : 1957
Elements Of Partial Differential Equations written by Ian Naismith Sneddon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Differential equations, Partial categories.
Ebook Paket 2008 Mathematik Naturwissenschaften Medizin Ebook Package 2008 Science Technology And Medicine Stm
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Author : Pavel Drábek
language : en
Publisher: De Gruyter
Release Date : 2008-10-31
Ebook Paket 2008 Mathematik Naturwissenschaften Medizin Ebook Package 2008 Science Technology And Medicine Stm written by Pavel Drábek and has been published by De Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-31 with categories.
Elements Of Partial Differential Equations
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Author : Stephen P. Timoshenko
language : en
Publisher:
Release Date : 1957
Elements Of Partial Differential Equations written by Stephen P. Timoshenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with categories.
Mathematical Aspects Of Finite Elements In Partial Differential Equations
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Author : University of Wisconsin. MATHEMATICS RESEARCH CENTER.
language : en
Publisher:
Release Date : 1974
Mathematical Aspects Of Finite Elements In Partial Differential Equations written by University of Wisconsin. MATHEMATICS RESEARCH CENTER. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Partial Differential Equations And The Finite Element Method
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Author : Pavel Ŝolín
language : en
Publisher: John Wiley & Sons
Release Date : 2005-12-16
Partial Differential Equations And The Finite Element Method written by Pavel Ŝolín 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 2005-12-16 with Mathematics categories.
A systematic introduction to partial differential equations and modern finite element methods for their efficient numerical solution Partial Differential Equations and the Finite Element Method provides a much-needed, clear, and systematic introduction to modern theory of partial differential equations (PDEs) and finite element methods (FEM). Both nodal and hierachic concepts of the FEM are examined. Reflecting the growing complexity and multiscale nature of current engineering and scientific problems, the author emphasizes higher-order finite element methods such as the spectral or hp-FEM. A solid introduction to the theory of PDEs and FEM contained in Chapters 1-4 serves as the core and foundation of the publication. Chapter 5 is devoted to modern higher-order methods for the numerical solution of ordinary differential equations (ODEs) that arise in the semidiscretization of time-dependent PDEs by the Method of Lines (MOL). Chapter 6 discusses fourth-order PDEs rooted in the bending of elastic beams and plates and approximates their solution by means of higher-order Hermite and Argyris elements. Finally, Chapter 7 introduces the reader to various PDEs governing computational electromagnetics and describes their finite element approximation, including modern higher-order edge elements for Maxwell's equations. The understanding of many theoretical and practical aspects of both PDEs and FEM requires a solid knowledge of linear algebra and elementary functional analysis, such as functions and linear operators in the Lebesgue, Hilbert, and Sobolev spaces. These topics are discussed with the help of many illustrative examples in Appendix A, which is provided as a service for those readers who need to gain the necessary background or require a refresher tutorial. Appendix B presents several finite element computations rooted in practical engineering problems and demonstrates the benefits of using higher-order FEM. Numerous finite element algorithms are written out in detail alongside implementation discussions. Exercises, including many that involve programming the FEM, are designed to assist the reader in solving typical problems in engineering and science. Specifically designed as a coursebook, this student-tested publication is geared to upper-level undergraduates and graduate students in all disciplines of computational engineeringand science. It is also a practical problem-solving reference for researchers, engineers, and physicists.
Mathematical Aspects Of Finite Elements In Partial Differential Equations
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Author : Carl de Boor
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Mathematical Aspects Of Finite Elements In Partial Differential Equations written by Carl de Boor and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Mathematical Aspects of Finite Elements in Partial Differential Equations addresses the mathematical questions raised by the use of finite elements in the numerical solution of partial differential equations. This book covers a variety of topics, including finite element method, hyperbolic partial differential equation, and problems with interfaces. Organized into 13 chapters, this book begins with an overview of the class of finite element subspaces with numerical examples. This text then presents as models the Dirichlet problem for the potential and bipotential operator and discusses the question of non-conforming elements using the classical Ritz- and least-squares-method. Other chapters consider some error estimates for the Galerkin problem by such energy considerations. This book discusses as well the spatial discretization of problem and presents the Galerkin method for ordinary differential equations using polynomials of degree k. The final chapter deals with the continuous-time Galerkin method for the heat equation. This book is a valuable resource for mathematicians.
Mathematical Aspects Of Finite Elements In Partial Differential Equations
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Author : Carl De Boor
language : en
Publisher:
Release Date : 1974
Mathematical Aspects Of Finite Elements In Partial Differential Equations written by Carl De Boor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Differential equations categories.
Partial Differential Equations
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Author : Kartikeya Dutta
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Partial Differential Equations written by Kartikeya Dutta and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Partial Differential Equations: A Detailed Exploration" is a comprehensive textbook designed for undergraduate students, offering an in-depth study of Partial Differential Equations (PDEs). We blend accessibility with academic rigor, making it suitable for students in mathematics, physics, and engineering disciplines. Our book starts with a strong foundation in mathematical modeling and analysis, tailored to meet the needs of undergraduate learners. We provide a balanced approach, combining theoretical underpinnings with practical applications. Each chapter includes clear explanations, illustrative examples, and thought-provoking exercises to foster active engagement and skill development. This journey equips students with essential tools to solve real-world problems and instills a deep appreciation for the elegance of PDE theory. Whether exploring heat conduction, wave propagation, or fluid dynamics, readers will immerse themselves in the rich tapestry of mathematical methods designed to unravel the secrets of nature. "Partial Differential Equations: A Detailed Exploration" invites undergraduates to transform mathematical challenges into triumphs, laying the groundwork for a deeper understanding of PDEs.
Finite Element And Reduced Dimension Methods For Partial Differential Equations
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Author : Zhendong Luo
language : en
Publisher: Springer Nature
Release Date : 2024-08-30
Finite Element And Reduced Dimension Methods For Partial Differential Equations written by Zhendong Luo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-30 with Mathematics categories.
This book aims to provide with some approaches for lessening the unknowns of the FE methods of unsteady PDEs. It provides a very detailed theoretical foundation of finite element (FE) and mixed finite element (MFE) methods in the first 2 chapters, and then Chapter 3 provides the FE and MFE methods to solve unsteady partial differential equations (PDEs). In the following 2 chapters, the principle and application of two proper orthogonal decomposition (POD) methods are introduced in detail. This book can be used as both the introduction of FE method and the gateway to the FE frontier. For readers who want to learn the FE and MFE methods for solving various steady and unsteady PDEs, they will find the first 3 chapters very helpful. While those who care about engineering applications may jump to the last 2 chapters that introduce the construction of dimension reduction models and their applications to practical process calculations. This part could help them to improve the calculation efficiency and save CPU runtime so as to do wonders for their engineering calculations.