Numerical Solution Of Ordinary And Partial Differential Equations, The (3rd Edition)

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Publisher : World Scientific
ISBN 13 : 9814635111
Total Pages : 346 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Numerical Solution Of Ordinary And Partial Differential Equations, The (3rd Edition) by : Granville Sewell

Download or read book Numerical Solution Of Ordinary And Partial Differential Equations, The (3rd Edition) written by Granville Sewell and published by World Scientific. This book was released on 2014-12-16 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state. Finite difference methods are introduced and analyzed in the first four chapters, and finite element methods are studied in chapter five. A very general-purpose and widely-used finite element program, PDE2D, which implements many of the methods studied in the earlier chapters, is presented and documented in Appendix A.The book contains the relevant theory and error analysis for most of the methods studied, but also emphasizes the practical aspects involved in implementing the methods. Students using this book will actually see and write programs (FORTRAN or MATLAB) for solving ordinary and partial differential equations, using both finite differences and finite elements. In addition, they will be able to solve very difficult partial differential equations using the software PDE2D, presented in Appendix A. PDE2D solves very general steady-state, time-dependent and eigenvalue PDE systems, in 1D intervals, general 2D regions, and a wide range of simple 3D regions.The Windows version of PDE2D comes free with every purchase of this book. More information at www.pde2d.com/contact.

Introduction a la Theorie Des Equations Aux Derivees Partielles Lineaires

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Publisher :
ISBN 13 :
Total Pages : 470 pages
Book Rating : 4.:/5 (859 download)

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Book Synopsis Introduction a la Theorie Des Equations Aux Derivees Partielles Lineaires by : Jacques Chazarain

Download or read book Introduction a la Theorie Des Equations Aux Derivees Partielles Lineaires written by Jacques Chazarain and published by . This book was released on 1981 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Applied Partial Differential Equations

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Publisher :
ISBN 13 : 9780132638074
Total Pages : 0 pages
Book Rating : 4.6/5 (38 download)

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Book Synopsis Elementary Applied Partial Differential Equations by : Richard Haberman

Download or read book Elementary Applied Partial Differential Equations written by Richard Haberman and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work aims to help the beginning student to understand the relationship between mathematics and physical problems, emphasizing examples and problem-solving.

Partial Differential Equations of Applied Mathematics

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Publisher : John Wiley & Sons
ISBN 13 : 1118031407
Total Pages : 968 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Partial Differential Equations of Applied Mathematics by : Erich Zauderer

Download or read book Partial Differential Equations of Applied Mathematics written by Erich Zauderer and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition features the latest tools for modeling, characterizing, and solving partial differential equations The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations (PDEs). The author provides all the theory and tools necessary to solve problems via exact, approximate, and numerical methods. The Third Edition retains all the hallmarks of its previous editions, including an emphasis on practical applications, clear writing style and logical organization, and extensive use of real-world examples. Among the new and revised material, the book features: * A new section at the end of each original chapter, exhibiting the use of specially constructed Maple procedures that solve PDEs via many of the methods presented in the chapters. The results can be evaluated numerically or displayed graphically. * Two new chapters that present finite difference and finite element methods for the solution of PDEs. Newly constructed Maple procedures are provided and used to carry out each of these methods. All the numerical results can be displayed graphically. * A related FTP site that includes all the Maple code used in the text. * New exercises in each chapter, and answers to many of the exercises are provided via the FTP site. A supplementary Instructor's Solutions Manual is available. The book begins with a demonstration of how the three basic types of equations-parabolic, hyperbolic, and elliptic-can be derived from random walk models. It then covers an exceptionally broad range of topics, including questions of stability, analysis of singularities, transform methods, Green's functions, and perturbation and asymptotic treatments. Approximation methods for simplifying complicated problems and solutions are described, and linear and nonlinear problems not easily solved by standard methods are examined in depth. Examples from the fields of engineering and physical sciences are used liberally throughout the text to help illustrate how theory and techniques are applied to actual problems. With its extensive use of examples and exercises, this text is recommended for advanced undergraduates and graduate students in engineering, science, and applied mathematics, as well as professionals in any of these fields. It is possible to use the text, as in the past, without use of the new Maple material.

Partial Differential Equations for Scientists and Engineers

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Publisher : Courier Corporation
ISBN 13 : 0486134733
Total Pages : 450 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Partial Differential Equations for Scientists and Engineers by : Stanley J. Farlow

Download or read book Partial Differential Equations for Scientists and Engineers written by Stanley J. Farlow and published by Courier Corporation. This book was released on 2012-03-08 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical text shows how to formulate and solve partial differential equations. Coverage includes diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Solution guide available upon request. 1982 edition.

Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387493190
Total Pages : 368 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Partial Differential Equations by : Jürgen Jost

Download or read book Partial Differential Equations written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2010-04-30 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an ideal introduction to the theory of partial differential equations. It focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. It also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. It also explores connections between elliptic, parabolic, and hyperbolic equations as well as the connection with Brownian motion and semigroups. This second edition features a new chapter on reaction-diffusion equations and systems.

From Ordinary to Partial Differential Equations

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Publisher : Springer
ISBN 13 : 3319575449
Total Pages : 428 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis From Ordinary to Partial Differential Equations by : Giampiero Esposito

Download or read book From Ordinary to Partial Differential Equations written by Giampiero Esposito and published by Springer. This book was released on 2017-06-23 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to mathematics and physics students who want to develop an interdisciplinary view of mathematics, from the age of Riemann, Poincaré and Darboux to basic tools of modern mathematics. It enables them to acquire the sensibility necessary for the formulation and solution of difficult problems, with an emphasis on concepts, rigour and creativity. It consists of eight self-contained parts: ordinary differential equations; linear elliptic equations; calculus of variations; linear and non-linear hyperbolic equations; parabolic equations; Fuchsian functions and non-linear equations; the functional equations of number theory; pseudo-differential operators and pseudo-differential equations. The author leads readers through the original papers and introduces new concepts, with a selection of topics and examples that are of high pedagogical value.

Theory of Partial Differential Equations

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Publisher : Academic Press
ISBN 13 : 0080956025
Total Pages : 299 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Theory of Partial Differential Equations by : Lieberstein

Download or read book Theory of Partial Differential Equations written by Lieberstein and published by Academic Press. This book was released on 1972-11-07 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Partial Differential Equations

Partial Differential Equations with Fourier Series and Boundary Value Problems

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Publisher : Courier Dover Publications
ISBN 13 : 0486807371
Total Pages : 818 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Partial Differential Equations with Fourier Series and Boundary Value Problems by : Nakhle H. Asmar

Download or read book Partial Differential Equations with Fourier Series and Boundary Value Problems written by Nakhle H. Asmar and published by Courier Dover Publications. This book was released on 2016-09-21 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rich in proofs, examples, and exercises, this widely adopted text emphasizes physics and engineering applications. The Student Solutions Manual can be downloaded free from Dover's site; the Instructor Solutions Manual is available upon request. 2004 edition, with minor revisions.

Handbook of Differential Equations

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Publisher : CRC Press
ISBN 13 : 100046816X
Total Pages : 737 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Handbook of Differential Equations by : Daniel Zwillinger

Download or read book Handbook of Differential Equations written by Daniel Zwillinger and published by CRC Press. This book was released on 2021-12-30 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through the previous three editions, Handbook of Differential Equations has proven an invaluable reference for anyone working within the field of mathematics, including academics, students, scientists, and professional engineers. The book is a compilation of methods for solving and approximating differential equations. These include the most widely applicable methods for solving and approximating differential equations, as well as numerous methods. Topics include methods for ordinary differential equations, partial differential equations, stochastic differential equations, and systems of such equations. Included for nearly every method are: The types of equations to which the method is applicable The idea behind the method The procedure for carrying out the method At least one simple example of the method Any cautions that should be exercised Notes for more advanced users The fourth edition includes corrections, many supplied by readers, as well as many new methods and techniques. These new and corrected entries make necessary improvements in this edition.

The Geometry of Submanifolds

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Publisher : CRC Press
ISBN 13 : 1482296861
Total Pages : 388 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis The Geometry of Submanifolds by : Yu. Aminov

Download or read book The Geometry of Submanifolds written by Yu. Aminov and published by CRC Press. This book was released on 2001-01-11 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive presentation of the geometry of submanifolds that expands on classical results in the theory of curves and surfaces. The geometry of submanifolds starts from the idea of the extrinsic geometry of a surface, and the theory studies the position and properties of a submanifold in ambient space in both local and global aspects.

Asymptotic Issues For Some Partial Differential Equations (Second Edition)

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Publisher : World Scientific
ISBN 13 : 9811290458
Total Pages : 283 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Asymptotic Issues For Some Partial Differential Equations (Second Edition) by : Michel Marie Chipot

Download or read book Asymptotic Issues For Some Partial Differential Equations (Second Edition) written by Michel Marie Chipot and published by World Scientific. This book was released on 2024-04-15 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary focus of the book is to explore the asymptotic behavior of problems formulated within cylindrical structures. Various physical applications are discussed, with certain topics such as fluid flows in channels being particularly noteworthy. Additionally, the book delves into the relevance of elasticity in the context of cylindrical bodies.In specific scenarios where the size of the cylinder becomes exceptionally large, the material's behavior is determined solely by its cross-section. The investigation centers around understanding these particular properties.Since the publication of the first edition, several significant advancements have been made, adding depth and interest to the content. Consequently, new sections have been incorporated into the existing edition, complemented by a comprehensive list of references.

Partial Differential Equations

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Publisher : Wiley
ISBN 13 : 9781118164013
Total Pages : pages
Book Rating : 4.1/5 (64 download)

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Book Synopsis Partial Differential Equations by : Walter A. Strauss

Download or read book Partial Differential Equations written by Walter A. Strauss and published by Wiley. This book was released on 2018-09-11 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial Differential Equations: An Introduction, 3rd Edition covers the fundamental properties of partial differential equations (PDEs) and proven techniques useful in analyzing them. The text uses a broad approach to illustrate the rich diversity of phenomena such as vibrations of solids, fluid flow, molecular structure, photon and electron interactions, radiation of electromagnetic waves encompassed by this subject as well as the role PDEs play in modern mathematics, especially geometry and analysis.

Handbook of Nonlinear Partial Differential Equations, Second Edition

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Publisher : CRC Press
ISBN 13 : 142008724X
Total Pages : 1878 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Nonlinear Partial Differential Equations, Second Edition by : Andrei D. Polyanin

Download or read book Handbook of Nonlinear Partial Differential Equations, Second Edition written by Andrei D. Polyanin and published by CRC Press. This book was released on 2016-04-19 with total page 1878 pages. Available in PDF, EPUB and Kindle. Book excerpt: New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabolic, hyperbolic, elliptic, and other systems of equations with solutions Some exact methods and transformations Symbolic and numerical methods for solving nonlinear PDEs with MapleTM, Mathematica®, and MATLAB® Many new illustrative examples and tables A large list of references consisting of over 1,300 sources To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology. They outline the methods in a schematic, simplified manner and arrange the material in increasing order of complexity.

Differential Equations

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Publisher : American Mathematical Society
ISBN 13 : 147046540X
Total Pages : 536 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Differential Equations by : Marcelo Viana

Download or read book Differential Equations written by Marcelo Viana and published by American Mathematical Society. This book was released on 2021-12-30 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level introduction to ordinary differential equations combines both qualitative and numerical analysis of solutions, in line with Poincaré's vision for the field over a century ago. Taking into account the remarkable development of dynamical systems since then, the authors present the core topics that every young mathematician of our time—pure and applied alike—ought to learn. The book features a dynamical perspective that drives the motivating questions, the style of exposition, and the arguments and proof techniques. The text is organized in six cycles. The first cycle deals with the foundational questions of existence and uniqueness of solutions. The second introduces the basic tools, both theoretical and practical, for treating concrete problems. The third cycle presents autonomous and non-autonomous linear theory. Lyapunov stability theory forms the fourth cycle. The fifth one deals with the local theory, including the Grobman–Hartman theorem and the stable manifold theorem. The last cycle discusses global issues in the broader setting of differential equations on manifolds, culminating in the Poincaré–Hopf index theorem. The book is appropriate for use in a course or for self-study. The reader is assumed to have a basic knowledge of general topology, linear algebra, and analysis at the undergraduate level. Each chapter ends with a computational experiment, a diverse list of exercises, and detailed historical, biographical, and bibliographic notes seeking to help the reader form a clearer view of how the ideas in this field unfolded over time.

Relaxation in Optimization Theory and Variational Calculus

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Publisher : Walter de Gruyter
ISBN 13 : 9783110145427
Total Pages : 496 pages
Book Rating : 4.1/5 (454 download)

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Book Synopsis Relaxation in Optimization Theory and Variational Calculus by : Tomáš Roubiček

Download or read book Relaxation in Optimization Theory and Variational Calculus written by Tomáš Roubiček and published by Walter de Gruyter. This book was released on 1997 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces applied mathematicians and graduate students to an original relaxation method based on a continuous extension of various optimization problems relating to convex compactification; it can be applied to problems in optimal control theory, the calculus of variations, and non-cooperative game theory. Reviews the background and summarizes the general theory of convex compactifications, then uses it to obtain convex, locally compact envelopes of the Lebesague and Sobolev spaces involved in concrete problems. The nontrivial envelopes cover the classical Young measures as well as various generalizations of them, which can record the limit behavior of fast oscillation and concentration effects. Annotation copyrighted by Book News, Inc., Portland, OR

More Progresses in Analysis

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Publisher : World Scientific
ISBN 13 : 9812835628
Total Pages : 1497 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis More Progresses in Analysis by : Heinrich G. W. Begehr

Download or read book More Progresses in Analysis written by Heinrich G. W. Begehr and published by World Scientific. This book was released on 2009 with total page 1497 pages. Available in PDF, EPUB and Kindle. Book excerpt: International ISAAC (International Society for Analysis, its Applications and Computation) Congresses have been held every second year since 1997. The proceedings report on a regular basis on the progresses of the field in recent years, where the most active areas in analysis, its applications and computation are covered. Plenary lectures also highlight recent results. This volume concentrates mainly on partial differential equations, but also includes function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 350 participants attending the congress, the book comprises 140 papers from 211 authors. The volume also serves for transferring personal information about the ISAAC and its members. This volume includes citations for O Besov, V Burenkov and R P Gilbert on the occasion of their anniversaries.