[Full Book] Computational Differential Equations

Computational Differential Equations PDF
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Publisher: Cambridge University Press
Author: K. Eriksson
Category : Mathematics
Languages : en
Pages : 538

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Computational Differential Equations

Computational Differential Equations by K. Eriksson, Computational Differential Equations Books available in PDF, EPUB, Mobi Format. Download Computational Differential Equations books, Textbook for teaching computational mathematics.


[Full Book] Numerical Methods For Differential Equations

Numerical Methods for Differential Equations PDF
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Publisher: CRC Press
Author: J.R. Dormand
Category : Mathematics
Languages : en
Pages : 384

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Numerical Methods For Differential Equations

Computational Differential Equations by J.R. Dormand, Numerical Methods For Differential Equations Books available in PDF, EPUB, Mobi Format. Download Numerical Methods For Differential Equations books, With emphasis on modern techniques, Numerical Methods for Differential Equations: A Computational Approach covers the development and application of methods for the numerical solution of ordinary differential equations. Some of the methods are extended to cover partial differential equations. All techniques covered in the text are on a program disk included with the book, and are written in Fortran 90. These programs are ideal for students, researchers, and practitioners because they allow for straightforward application of the numerical methods described in the text. The code is easily modified to solve new systems of equations. Numerical Methods for Differential Equations: A Computational Approach also contains a reliable and inexpensive global error code for those interested in global error estimation. This is a valuable text for students, who will find the derivations of the numerical methods extremely helpful and the programs themselves easy to use. It is also an excellent reference and source of software for researchers and practitioners who need computer solutions to differential equations.


[Full Book] Computational Partial Differential Equations

Computational Partial Differential Equations PDF
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Publisher: Springer Science & Business Media
Author: Hans Petter Langtangen
Category : Mathematics
Languages : en
Pages : 685

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Computational Partial Differential Equations

Computational Differential Equations by Hans Petter Langtangen, Computational Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Computational Partial Differential Equations books, 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.


[Full Book] Advanced Topics In Computational Partial Differential Equations

Advanced Topics in Computational Partial Differential Equations PDF
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Publisher: Springer Science & Business Media
Author: Hans Petter Langtangen
Category : Mathematics
Languages : en
Pages : 663

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Advanced Topics In Computational Partial Differential Equations

Computational Differential Equations by Hans Petter Langtangen, Advanced Topics In Computational Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Advanced Topics In Computational Partial Differential Equations books, 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.


[Full Book] Computational Partial Differential Equations Using Matlab

Computational Partial Differential Equations Using MATLAB   PDF
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Publisher: CRC Press
Author: Jichun Li
Category : Mathematics
Languages : en
Pages : 408

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Computational Partial Differential Equations Using Matlab

Computational Differential Equations by Jichun Li, Computational Partial Differential Equations Using Matlab Books available in PDF, EPUB, Mobi Format. Download Computational Partial Differential Equations Using Matlab books, 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.


[Full Book] Introduction To Partial Differential Equations

Introduction to Partial Differential Equations PDF
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Publisher: Springer Science & Business Media
Author: Aslak Tveito
Category : Mathematics
Languages : en
Pages : 392

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Introduction To Partial Differential Equations

Computational Differential Equations by Aslak Tveito, Introduction To Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Introduction To Partial Differential Equations books, 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.


[Full Book] Numerical Methods For Evolutionary Differential Equations

Numerical Methods for Evolutionary Differential Equations PDF
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Publisher: SIAM
Author: Uri M. Ascher
Category : Mathematics
Languages : en
Pages : 395

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Numerical Methods For Evolutionary Differential Equations

Computational Differential Equations by Uri M. Ascher, Numerical Methods For Evolutionary Differential Equations Books available in PDF, EPUB, Mobi Format. Download Numerical Methods For Evolutionary Differential Equations books, Develops, analyses, and applies numerical methods for evolutionary, or time-dependent, differential problems.


[Full Book] Differential Equations With Symbolic Computation

Differential Equations with Symbolic Computation PDF
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Publisher: Springer Science & Business Media
Author: Dongming Wang
Category : Mathematics
Languages : en
Pages : 374

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Differential Equations With Symbolic Computation

Computational Differential Equations by Dongming Wang, Differential Equations With Symbolic Computation Books available in PDF, EPUB, Mobi Format. Download Differential Equations With Symbolic Computation books, This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.


[Full Book] Partial Differential Equations

Partial Differential Equations PDF
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Publisher: Springer Science & Business Media
Author: Roland Glowinski
Category : Science
Languages : en
Pages : 292

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Partial Differential Equations

Computational Differential Equations by Roland Glowinski, Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Partial Differential Equations books, 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.


[Full Book] Computational Partial Differential Equations Using Matlab

Computational Partial Differential Equations Using MATLAB PDF
Book Details
Publisher: CRC Press
Author: Jichun Li
Category : Mathematics
Languages : en
Pages : 378

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Computational Partial Differential Equations Using Matlab

Computational Differential Equations by Jichun Li, Computational Partial Differential Equations Using Matlab Books available in PDF, EPUB, Mobi Format. Download Computational Partial Differential Equations Using Matlab books, 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 methods, such as the high-order compact difference method and the radial basis function meshless method. Helps Students Better Understand Numerical Methods through Use of MATLAB® The authors uniquely emphasize both theoretical numerical analysis and practical implementation of the algorithms in MATLAB, making the book useful for students in computational science and engineering. They provide students with simple, clear implementations instead of sophisticated usages of MATLAB functions. All the Material Needed for a Numerical Analysis Course Based on the authors’ own courses, the text only requires some knowledge of computer programming, advanced calculus, and difference equations. It includes practical examples, exercises, references, and problems, along with a solutions manual for qualifying instructors. Students can download MATLAB code from www.crcpress.com, enabling them to easily modify or improve the codes to solve their own problems.


[Full Book] Essential Partial Differential Equations

Essential Partial Differential Equations PDF
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Publisher: Springer
Author: David F. Griffiths
Category : Mathematics
Languages : en
Pages : 368

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Essential Partial Differential Equations

Computational Differential Equations by David F. Griffiths, Essential Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Essential Partial Differential Equations books, This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advection–diffusion problems. The underlying theory is illustrated by numerous examples and there are around 300 exercises, designed to promote and test understanding. They are starred according to level of difficulty. Solutions to odd-numbered exercises are available to all readers while even-numbered solutions are available to authorised instructors. Written in an informal yet rigorous style, Essential Partial Differential Equations is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific and engi neering disciplines in which PDEs are of practical importance. The only prerequisite is a familiarity with the basic concepts of calculus and linear algebra.


[Full Book] Computational Techniques For Differential Equations

Computational Techniques for Differential Equations PDF
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Publisher: Elsevier
Author: J. Noye
Category : Mathematics
Languages : en
Pages : 678

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Computational Techniques For Differential Equations

Computational Differential Equations by J. Noye, Computational Techniques For Differential Equations Books available in PDF, EPUB, Mobi Format. Download Computational Techniques For Differential Equations books, Computational Techniques for Differential Equations


[Full Book] Numerical Solution Of Partial Differential Equations On Parallel Computers

Numerical Solution of Partial Differential Equations on Parallel Computers PDF
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Publisher: Springer Science & Business Media
Author: Are Magnus Bruaset
Category : Mathematics
Languages : en
Pages : 482

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Numerical Solution Of Partial Differential Equations On Parallel Computers

Computational Differential Equations by Are Magnus Bruaset, Numerical Solution Of Partial Differential Equations On Parallel Computers Books available in PDF, EPUB, Mobi Format. Download Numerical Solution Of Partial Differential Equations On Parallel Computers books, 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.


[Full Book] Computational Methods In Ordinary Differential Equations

Computational Methods in Ordinary Differential Equations PDF
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Publisher: John Wiley & Sons Incorporated
Author: J. D. Lambert
Category : Mathematics
Languages : en
Pages : 278

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Computational Methods In Ordinary Differential Equations

Computational Differential Equations by J. D. Lambert, Computational Methods In Ordinary Differential Equations Books available in PDF, EPUB, Mobi Format. Download Computational Methods In Ordinary Differential Equations books,


[Full Book] Computational Methods In Partial Differential Equations

Computational Methods in Partial Differential Equations PDF
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Publisher:
Author: Andrew R. Mitchell
Category : Differential equations
Languages : en
Pages : 255

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Computational Methods In Partial Differential Equations

Computational Differential Equations by Andrew R. Mitchell, Computational Methods In Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Computational Methods In Partial Differential Equations books, Report for Bachelor of Engineering (Ocean Engineering).


[Full Book] Computational Methods For Partial Differential Equations

Computational Methods for Partial Differential Equations PDF
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Publisher: Ellis Horwood
Author: E. H. Twizell
Category : Differential equations, Partial
Languages : en
Pages : 276

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Computational Methods For Partial Differential Equations

Computational Differential Equations by E. H. Twizell, Computational Methods For Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Computational Methods For Partial Differential Equations books,


[Full Book] Computational Aspects Of Linear Control

Computational Aspects of Linear Control PDF
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Publisher: Springer Science & Business Media
Author: Claude Brezinski
Category : Mathematics
Languages : en
Pages : 295

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Computational Aspects Of Linear Control

Computational Differential Equations by Claude Brezinski, Computational Aspects Of Linear Control Books available in PDF, EPUB, Mobi Format. Download Computational Aspects Of Linear Control books, The main objective of this volume is to create a bridge between control theory and its numerical analysis aspects. It is unique because it presents both subjects in a single volume. The book combines an exposition of linear control theory and the corresponding modern relevant computational techniques such as orthogonal polynomials, Padé approximation, numerical linear algebra, and some topics on nonlinear differential equations. It can be considered as an introduction to control theory for numerical analysts looking for a wide area of applications and as an introduction to recent numerical methods for control specialists. Audience: Aimed at advanced students at a doctoral or post-doctoral level, engineers, and researchers in control theory and numerical analysis.


[Full Book] Numerical Methods For Nonlinear Partial Differential Equations

Numerical Methods for Nonlinear Partial Differential Equations PDF
Book Details
Publisher: Springer
Author: Sören Bartels
Category : Mathematics
Languages : en
Pages : 393

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Numerical Methods For Nonlinear Partial Differential Equations

Computational Differential Equations by Sören Bartels, Numerical Methods For Nonlinear Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Numerical Methods For Nonlinear Partial Differential Equations books, The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.