Nonlinear Partial Differential Equations In Engineering By W F Ames
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Nonlinear Partial Differential Equations In Engineering
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Author : W. F. Ames
language : en
Publisher: Academic Press
Release Date : 1965-01-01
Nonlinear Partial Differential Equations In Engineering written by W. F. Ames and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-01-01 with Mathematics categories.
Nonlinear Partial Differential Equations in Engineering
Nonlinear Partial Differential Equations In Engineering By W F Ames
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Author : W. F. Ames
language : en
Publisher: Elsevier
Release Date : 1972-07-21
Nonlinear Partial Differential Equations In Engineering By W F Ames written by W. F. Ames and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-07-21 with Mathematics categories.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Nonlinear Partial Differential Equations In Engineering
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Author : W. F. Ames
language : en
Publisher: Elsevier
Release Date : 2016-06-03
Nonlinear Partial Differential Equations In Engineering written by W. F. Ames and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Mathematics categories.
Nonlinear Partial Differential Equations in Engineering discusses methods of solution for nonlinear partial differential equations, particularly by using a unified treatment of analytic and numerical procedures. The book also explains analytic methods, approximation methods (such as asymptotic processes, perturbation procedures, weighted residual methods), and specific numerical procedures associated with these equations. The text presents exact methods of solution including the quasi-linear theory, the Poisson-Euler-Darboux equation, a general solution for anisentropic flow, and other solutions obtained from ad hoc assumptions. The book explores analytic methods such as an ad hoc solution from magneto-gas dynamics. Noh and Protter have found the Lagrange formulation to be a convenient vehicle for obtaining "soft" solutions of the equations of gas dynamics. The book notes that developing solutions in two and three dimensions can be achieved by employing Lagrangian coordinates. The book explores approximate methods that use analytical procedures to obtain solutions in the form of functions approximating solutions of nonlinear problems. Approximate methods include integral equations, boundary theory, maximum operation, and equations of elliptic types. The book can serve and benefit mathematicians, students of, and professors of calculus, statistics, or advanced mathematics.
Nonlinear Partial Differential Equations In Engineering
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Author : William F. Ames
language : en
Publisher:
Release Date : 1972
Nonlinear Partial Differential Equations In Engineering written by William F. Ames and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Nonlinear Partial Differential Equations In Engineering
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Author : W. F. Ames
language : en
Publisher:
Release Date : 2013
Nonlinear Partial Differential Equations In Engineering written by W. F. Ames and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Handbook Of Differential Equations
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Author : Daniel Zwillinger
language : en
Publisher: Gulf Professional Publishing
Release Date : 1998
Handbook Of Differential Equations written by Daniel Zwillinger and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This book compiles the most widely applicable methods for solving and approximating differential equations. as well as numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations. For nearly every technique, the book provides: 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 References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs
Handbook Of Nonlinear Partial Differential Equations
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2004-06-02
Handbook Of Nonlinear Partial Differential Equations written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-02 with Mathematics categories.
The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity. Highlights of the Handbook:
Analytical Methods For Solving Nonlinear Partial Differential Equations
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Author : Daniel Arrigo
language : en
Publisher: Springer Nature
Release Date : 2022-10-28
Analytical Methods For Solving Nonlinear Partial Differential Equations written by Daniel Arrigo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-28 with Mathematics categories.
This textbook provides an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, readers are introduced to techniques to obtain exact solutions of NLPDEs. The chapters include the following topics: Nonlinear PDEs are Everywhere; Differential Substitutions; Point and Contact Transformations; First Integrals; and Functional Separability. Readers are guided through these chapters and are provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. This Second Edition includes a new method of generating contact transformations and focuses on a solution method (parametric Legendre transformations) to solve a particular class of two nonlinear PDEs.
Nonlinear Partial Differential Equations In Engineering Vol 1 2
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Author : AMES WF.
language : en
Publisher:
Release Date : 1965
Nonlinear Partial Differential Equations In Engineering Vol 1 2 written by AMES WF. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Exploiting Symmetry In Applied And Numerical Analysis
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Author : Eugene L. Allgower
language : en
Publisher: American Mathematical Soc.
Release Date :
Exploiting Symmetry In Applied And Numerical Analysis written by Eugene L. Allgower and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Symmetry plays an important role in theoretical physics, applied analysis, classical differential equations, and bifurcation theory. Although numerical analysis has incorporated aspects of symmetry on an ad hoc basis, there is now a growing collection of numerical analysts who are currently attempting to use symmetry groups and representation theory as fundamental tools in their work. This book contains the proceedings of an AMS-SIAM Summer Seminar in Applied Mathematics, held in 1992 at Colorado State University. The seminar, which drew about 100 scientists from around the world, was intended to stimulate the systematic incorporation of symmetry and group theoretical concepts into numerical methods. The papers in this volume have been refereed and will not be published elsewhere.