[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] 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] Introduction To Computation And Modeling For Differential Equations

Introduction to Computation and Modeling for Differential Equations PDF
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Publisher: John Wiley & Sons
Author: Lennart Edsberg
Category : Mathematics
Languages : en
Pages : 288

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Introduction To Computation And Modeling For Differential Equations

Computational Differential Equations by Lennart Edsberg, Introduction To Computation And Modeling For Differential Equations Books available in PDF, EPUB, Mobi Format. Download Introduction To Computation And Modeling For Differential Equations books, Uses mathematical, numerical, and programming tools to solve differential equations for physical phenomena and engineering problems Introduction to Computation and Modeling for Differential Equations, Second Edition features the essential principles and applications of problem solving across disciplines such as engineering, physics, and chemistry. The Second Edition integrates the science of solving differential equations with mathematical, numerical, and programming tools, specifically with methods involving ordinary differential equations; numerical methods for initial value problems (IVPs); numerical methods for boundary value problems (BVPs); partial differential equations (PDEs); numerical methods for parabolic, elliptic, and hyperbolic PDEs; mathematical modeling with differential equations; numerical solutions; and finite difference and finite element methods. The author features a unique “Five-M” approach: Modeling, Mathematics, Methods, MATLAB®, and Multiphysics, which facilitates a thorough understanding of how models are created and preprocessed mathematically with scaling, classification, and approximation and also demonstrates how a problem is solved numerically using the appropriate mathematical methods. With numerous real-world examples to aid in the visualization of the solutions, Introduction to Computation and Modeling for Differential Equations, Second Edition includes: New sections on topics including variational formulation, the finite element method, examples of discretization, ansatz methods such as Galerkin’s method for BVPs, parabolic and elliptic PDEs, and finite volume methods Numerous practical examples with applications in mechanics, fluid dynamics, solid mechanics, chemical engineering, heat conduction, electromagnetic field theory, and control theory, some of which are solved with computer programs MATLAB and COMSOL Multiphysics® Additional exercises that introduce new methods, projects, and problems to further illustrate possible applications A related website with select solutions to the exercises, as well as the MATLAB data sets for ordinary differential equations (ODEs) and PDEs Introduction to Computation and Modeling for Differential Equations, Second Edition is a useful textbook for upper-undergraduate and graduate-level courses in scientific computing, differential equations, ordinary differential equations, partial differential equations, and numerical methods. The book is also an excellent self-study guide for mathematics, science, computer science, physics, and engineering students, as well as an excellent reference for practitioners and consultants who use differential equations and numerical methods in everyday situations.


[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] A Computational Differential Geometry Approach To Grid Generation

A Computational Differential Geometry Approach to Grid Generation PDF
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Publisher: Springer Science & Business Media
Author: Vladimir D. Liseikin
Category : Science
Languages : en
Pages : 264

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A Computational Differential Geometry Approach To Grid Generation

Computational Differential Equations by Vladimir D. Liseikin, A Computational Differential Geometry Approach To Grid Generation Books available in PDF, EPUB, Mobi Format. Download A Computational Differential Geometry Approach To Grid Generation books, The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. In an updated and expanded Second Edition, this monograph gives a detailed treatment based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces.


[Full Book] Computational Partial Differential Equations

Computational Partial Differential Equations PDF
Book Details
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] 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] Stability And Implementation Problems For Computational Differential Equations

Stability and Implementation Problems for Computational Differential Equations PDF
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Publisher:
Author: Pamela Marion Moss
Category : Differential equations
Languages : en
Pages : 98

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Stability And Implementation Problems For Computational Differential Equations

Computational Differential Equations by Pamela Marion Moss, Stability And Implementation Problems For Computational Differential Equations Books available in PDF, EPUB, Mobi Format. Download Stability And Implementation Problems For Computational Differential Equations books,


[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] Partielle Differentialgleichungen

Partielle Differentialgleichungen PDF
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Publisher: Springer-Verlag
Author: Walter A. Strauss
Category : Mathematics
Languages : de
Pages : 458

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Partielle Differentialgleichungen

Computational Differential Equations by Walter A. Strauss, Partielle Differentialgleichungen Books available in PDF, EPUB, Mobi Format. Download Partielle Differentialgleichungen books, Dieses Buch ist eine umfassende Einführung in die klassischen Lösungsmethoden partieller Differentialgleichungen. Es wendet sich an Leser mit Kenntnissen aus einem viersemestrigen Grundstudium der Mathematik (und Physik) und legt seinen Schwerpunkt auf die explizite Darstellung der Lösungen. Es ist deshalb besonders auch für Anwender (Physiker, Ingenieure) sowie für Nichtspezialisten, die die Methoden der mathematischen Physik kennenlernen wollen, interessant. Durch die große Anzahl von Beispielen und Übungsaufgaben eignet es sich gut zum Gebrauch neben Vorlesungen sowie zum Selbststudium.


[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 Optimization Of Systems Governed By Partial Differential Equations

Computational Optimization of Systems Governed by Partial Differential Equations PDF
Book Details
Publisher: SIAM
Author: Alfio Borzi
Category : Differential equations, Partial
Languages : en
Pages : 282

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Computational Optimization Of Systems Governed By Partial Differential Equations

Computational Differential Equations by Alfio Borzi, Computational Optimization Of Systems Governed By Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Computational Optimization Of Systems Governed By Partial Differential Equations books, This book fills a gap between theory-oriented investigations in PDE-constrained optimization and the practical demands made by numerical solutions of PDE optimization problems. The authors discuss computational techniques representing recent developments that result from a combination of modern techniques for the numerical solution of PDEs and for sophisticated optimization schemes. The book offers readers a combined treatment of PDE-constrained optimization and uncertainties and an extensive discussion of multigrid optimization. It provides a bridge between continuous optimization and PDE modeling and focuses on the numerical solution of the corresponding problems.


[Full Book] Numerical Solution Of Partial Differential Equations In Science And Engineering

Numerical Solution of Partial Differential Equations in Science and Engineering PDF
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Publisher: John Wiley & Sons
Author: Leon Lapidus
Category : Mathematics
Languages : en
Pages : 677

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Numerical Solution Of Partial Differential Equations In Science And Engineering

Computational Differential Equations by Leon Lapidus, Numerical Solution Of Partial Differential Equations In Science And Engineering Books available in PDF, EPUB, Mobi Format. Download Numerical Solution Of Partial Differential Equations In Science And Engineering books, From the reviews of Numerical Solution of PartialDifferential Equations in Science and Engineering: "The book by Lapidus and Pinder is a very comprehensive, evenexhaustive, survey of the subject . . . [It] is unique in that itcovers equally finite difference and finite element methods." Burrelle's "The authors have selected an elementary (but not simplistic)mode of presentation. Many different computational schemes aredescribed in great detail . . . Numerous practical examples andapplications are described from beginning to the end, often withcalculated results given." Mathematics of Computing "This volume . . . devotes its considerable number of pages tolucid developments of the methods [for solving partial differentialequations] . . . the writing is very polished and I found it apleasure to read!" Mathematics of Computation Of related interest . . . NUMERICAL ANALYSIS FOR APPLIED SCIENCE Myron B. Allen andEli L. Isaacson. A modern, practical look at numerical analysis,this book guides readers through a broad selection of numericalmethods, implementation, and basic theoretical results, with anemphasis on methods used in scientific computation involvingdifferential equations. 1997 (0-471-55266-6) 512 pp. APPLIED MATHEMATICS Second Edition, J. David Logan.Presenting an easily accessible treatment of mathematical methodsfor scientists and engineers, this acclaimed work covers fluidmechanics and calculus of variations as well as more modernmethods-dimensional analysis and scaling, nonlinear wavepropagation, bifurcation, and singular perturbation. 1996(0-471-16513-1) 496 pp.


[Full Book] Computational Methods In Partial Differential Equations

Computational Methods in Partial Differential Equations PDF
Book Details
Publisher: John Wiley & Sons
Author: Andrew R. Mitchell
Category : Differential equations, Partial
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, October 2002


[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] Computational Techniques For Ordinary Differential Equations

Computational Techniques for Ordinary Differential Equations PDF
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Publisher:
Author: Conference on Computational Techniques for Ordinary Differential Equations (1978, Manchester)
Category : Mathematics
Languages : en
Pages : 303

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Computational Techniques For Ordinary Differential Equations

Computational Differential Equations by Conference on Computational Techniques for Ordinary Differential Equations (1978, Manchester), Computational Techniques For Ordinary Differential Equations Books available in PDF, EPUB, Mobi Format. Download Computational Techniques For Ordinary Differential Equations books,


[Full Book] Computational Ordinary Differential Equations

Computational Ordinary Differential Equations PDF
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Publisher: Oxford University Press, USA
Author: Jonathan R. Cash
Category : Differential equations
Languages : en
Pages : 457

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Computational Ordinary Differential Equations

Computational Differential Equations by Jonathan R. Cash, Computational Ordinary Differential Equations Books available in PDF, EPUB, Mobi Format. Download Computational Ordinary Differential Equations books, This collection of refereed papers from an international conference provides a comprehensive coverage of recent research on the numerical solution of ordinary differential equations. There are sections on initial value problems, boundary value problems, differential algebraic equations,applications to the solution of partial differential equations, parallel solution methods, and methods of conservation and global error calculation. Within each section the papers have been ordered so that the reader will perceive a gradual movement from the theoretical to the practical. Newchallenges such as the solution of differential-algebraic equations and the impact of parallelism are covered alongside currently topical aspects of older problems such as the interpolation of Runge-Kutta methods and the development of formulas which conserve energy whilst preserving accuracy. Fornumerical analysts in academic and industrial research this book provides detailed coverage of this important subject.