Computational Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3662011700
Total Pages : 704 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Computational Partial Differential Equations by : Hans Petter Langtangen

Download or read book Computational Partial Differential Equations written by Hans Petter Langtangen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Targeted at students and researchers in computational sciences who need to develop computer codes for solving PDEs, the exposition here is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view, with the main emphasis on developing flexible computer programs, using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet. XXXXXXX NEUER TEXT This book is for researchers who need to develop computer code for solving PDEs. Numerical methods and the application of Diffpack are explained in detail. Diffpack is a modern C++ development environment that is widely used by industrial scientists and engineers working in areas such as oil exploration, groundwater modeling, and materials testing. All the program examples, as well as a test version of Diffpack, are available for free over the Internet.

Partial Differential Equations for Computational Science

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387983004
Total Pages : 544 pages
Book Rating : 4.9/5 (83 download)

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Book Synopsis Partial Differential Equations for Computational Science by : David Betounes

Download or read book Partial Differential Equations for Computational Science written by David Betounes and published by Springer Science & Business Media. This book was released on 1998-05-15 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will have strong appeal to interdisciplinary audiences, particularly in regard to its treatments of fluid mechanics, heat equations, and continuum mechanics. There is also a heavy focus on vector analysis. Maple examples, exercises, and an appendix is also included.

Finite Difference Computing with PDEs

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Publisher : Springer
ISBN 13 : 3319554565
Total Pages : 522 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Finite Difference Computing with PDEs by : Hans Petter Langtangen

Download or read book Finite Difference Computing with PDEs written by Hans Petter Langtangen and published by Springer. This book was released on 2017-06-21 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.

Advanced Topics in Computational Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3642182372
Total Pages : 676 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Advanced Topics in Computational Partial Differential Equations by : Hans Petter Langtangen

Download or read book Advanced Topics in Computational Partial Differential Equations written by Hans Petter Langtangen and published by Springer Science & Business Media. This book was released on 2012-09-22 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: A gentle introduction to advanced topics such as parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to ‘compute’ solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment - some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through to discretization methods, algorithms, software design, verification, and computational examples. Suitable for readers with a background in basic finite element and finite difference methods for partial differential equations.

Partial Differential Equations

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Publisher : SIAM
ISBN 13 : 0898715946
Total Pages : 689 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Partial Differential Equations by : R. M. M. Mattheij

Download or read book Partial Differential Equations written by R. M. M. Mattheij and published by SIAM. This book was released on 2005-01-01 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: Textbook with a unique approach that integrates analysis and numerical methods and includes modelling to address real-life problems.

Introduction to Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387227733
Total Pages : 402 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Introduction to Partial Differential Equations by : Aslak Tveito

Download or read book Introduction to Partial Differential Equations written by Aslak Tveito and published by Springer Science & Business Media. This book was released on 2008-01-21 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining both the classical theory and numerical techniques for partial differential equations, this thoroughly modern approach shows the significance of computations in PDEs and illustrates the strong interaction between mathematical theory and the development of numerical methods. Great care has been taken throughout the book to seek a sound balance between these techniques. The authors present the material at an easy pace and exercises ranging from the straightforward to the challenging have been included. In addition there are some "projects" suggested, either to refresh the students memory of results needed in this course, or to extend the theories developed in the text. Suitable for undergraduate and graduate students in mathematics and engineering.

Numerical Solution of Partial Differential Equations on Parallel Computers

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Publisher : Springer Science & Business Media
ISBN 13 : 3540316191
Total Pages : 491 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Numerical Solution of Partial Differential Equations on Parallel Computers by : Are Magnus Bruaset

Download or read book Numerical Solution of Partial Differential Equations on Parallel Computers written by Are Magnus Bruaset and published by Springer Science & Business Media. This book was released on 2006-03-05 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing.

Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1402087586
Total Pages : 294 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Partial Differential Equations by : Roland Glowinski

Download or read book Partial Differential Equations written by Roland Glowinski and published by Springer Science & Business Media. This book was released on 2008-06-26 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 250 years partial di?erential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at ?rst and then those originating from - man activity and technological development. Mechanics, physics and their engineering applications were the ?rst to bene?t from the impact of partial di?erential equations on modeling and design, but a little less than a century ago the Schr ̈ odinger equation was the key opening the door to the application of partial di?erential equations to quantum chemistry, for small atomic and molecular systems at ?rst, but then for systems of fast growing complexity. The place of partial di?erential equations in mathematics is a very particular one: initially, the partial di?erential equations modeling natural phenomena were derived by combining calculus with physical reasoning in order to - press conservation laws and principles in partial di?erential equation form, leading to the wave equation, the heat equation, the equations of elasticity, the Euler and Navier–Stokes equations for ?uids, the Maxwell equations of electro-magnetics, etc. It is in order to solve ‘constructively’ the heat equation that Fourier developed the series bearing his name in the early 19th century; Fourier series (and later integrals) have played (and still play) a fundamental roleinbothpureandappliedmathematics,includingmanyareasquiteremote from partial di?erential equations. On the other hand, several areas of mathematics such as di?erential ge- etry have bene?ted from their interactions with partial di?erential equations.

Solving PDEs in C++

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Publisher : SIAM
ISBN 13 : 1611972167
Total Pages : 775 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Solving PDEs in C++ by : Yair Shapira

Download or read book Solving PDEs in C++ written by Yair Shapira and published by SIAM. This book was released on 2012-06-07 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this much-expanded second edition, author Yair Shapira presents new applications and a substantial extension of the original object-oriented framework to make this popular and comprehensive book even easier to understand and use. It not only introduces the C and C++ programming languages, but also shows how to use them in the numerical solution of partial differential equations (PDEs). The book leads readers through the entire solution process, from the original PDE, through the discretization stage, to the numerical solution of the resulting algebraic system. The high level of abstraction available in C++ is particularly useful in the implementation of complex mathematical objects, such as unstructured mesh, sparse matrix, and multigrid hierarchy, often used in numerical modeling. The well-debugged and tested code segments implement the numerical methods efficiently and transparently in a unified object-oriented approach.

Computational Partial Differential Equations Using MATLAB

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Author :
Publisher : CRC Press
ISBN 13 : 1420089056
Total Pages : 376 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Computational Partial Differential Equations Using MATLAB by : Jichun Li

Download or read book Computational Partial Differential Equations Using MATLAB written by Jichun Li and published by CRC Press. This book was released on 2008-10-20 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques that include the classic finite difference method and the finite element method as well as state-of-the-art numerical

Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica

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Publisher : CRC Press
ISBN 13 : 1466510579
Total Pages : 645 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica by : Kuzman Adzievski

Download or read book Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica written by Kuzman Adzievski and published by CRC Press. This book was released on 2016-04-19 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: With special emphasis on engineering and science applications, this textbook provides a mathematical introduction to the field of partial differential equations (PDEs). The text represents a new approach to PDEs at the undergraduate level by presenting computation as an integral part of the study of differential equations. The authors use the computer software Mathematica (R) along with graphics to improve understanding and interpretation of concepts. The book also presents solutions to selected examples as well as exercises in each chapter. Topics include Laplace and Fourier transforms as well as Sturm-Liuville Boundary Value Problems.

Scientific Computing with Ordinary Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387215824
Total Pages : 498 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Scientific Computing with Ordinary Differential Equations by : Peter Deuflhard

Download or read book Scientific Computing with Ordinary Differential Equations written by Peter Deuflhard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well-known authors; Includes topics and results that have previously not been covered in a book; Uses many interesting examples from science and engineering; Contains numerous homework exercises; Scientific computing is a hot and topical area

Computational Optimization of Systems Governed by Partial Differential Equations

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Publisher : SIAM
ISBN 13 : 1611972043
Total Pages : 295 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Computational Optimization of Systems Governed by Partial Differential Equations by : Alfio Borzi

Download or read book Computational Optimization of Systems Governed by Partial Differential Equations written by Alfio Borzi and published by SIAM. This book was released on 2012-01-26 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a bridge between continuous optimization and PDE modelling and focuses on the numerical solution of the corresponding problems. Intended for graduate students in PDE-constrained optimization, it is also suitable as an introduction for researchers in scientific computing or optimization.

Numerical Methods for Evolutionary Differential Equations

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Publisher : SIAM
ISBN 13 : 0898716527
Total Pages : 403 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Numerical Methods for Evolutionary Differential Equations by : Uri M. Ascher

Download or read book Numerical Methods for Evolutionary Differential Equations written by Uri M. Ascher and published by SIAM. This book was released on 2008-09-04 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops, analyses, and applies numerical methods for evolutionary, or time-dependent, differential problems.

Partial Differential Equations for Computational Science

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Publisher : Springer
ISBN 13 : 9781461221982
Total Pages : 0 pages
Book Rating : 4.2/5 (219 download)

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Book Synopsis Partial Differential Equations for Computational Science by : David Betounes

Download or read book Partial Differential Equations for Computational Science written by David Betounes and published by Springer. This book was released on 2014-09-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will have strong appeal to interdisciplinary audiences, particularly in regard to its treatments of fluid mechanics, heat equations, and continuum mechanics. There is also a heavy focus on vector analysis. Maple examples, exercises, and an appendix is also included.

Nonlinear Partial Differential Equations in Engineering

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Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear Partial Differential Equations in Engineering by : William F. Ames

Download or read book Nonlinear Partial Differential Equations in Engineering written by William F. Ames and published by . This book was released on 1965 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Partial Differential Equations in Engineering: v. 1.

Computational Partial Differential Equations Using MATLAB®

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Author :
Publisher : CRC Press
ISBN 13 : 0429556535
Total Pages : 423 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Computational Partial Differential Equations Using MATLAB® by : Jichun Li

Download or read book Computational Partial Differential Equations Using MATLAB® written by Jichun Li and published by CRC Press. This book was released on 2019-09-26 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques including the classic finite difference method, finite element method, and state-of-the-art numercial methods.The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB. This new edition includes a new chapter, Finite Value Method, the presentation has been tightened, new exercises and applications are included, and the text refers now to the latest release of MATLAB. Key Selling Points: A successful textbook for an undergraduate text on numerical analysis or methods taught in mathematics and computer engineering. This course is taught in every university throughout the world with an engineering department or school. Competitive advantage broader numerical methods (including finite difference, finite element, meshless method, and finite volume method), provides the MATLAB source code for most popular PDEs with detailed explanation about the implementation and theoretical analysis. No other existing textbook in the market offers a good combination of theoretical depth and practical source codes.