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Partial Differential Equations of Parabolic Type

Partial Differential Equations of Parabolic Type Author Avner Friedman
ISBN-10 9780486318264
Release 2013-08-16
Pages 368
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With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature related to the theory of parabolic and elliptic equations. 1964 edition.



Partial Differential Equations of Parabolic Type

Partial Differential Equations of Parabolic Type Author Avner Friedman
ISBN-10 9780486466255
Release 2008-04-21
Pages 347
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With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature related to the theory of parabolic and elliptic equations. 1964 edition.



Partial differential equations of parabolic type

Partial differential equations of parabolic type Author Avner Friedman
ISBN-10 UCSD:31822001729722
Release 1983-08
Pages 347
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Partial differential equations of parabolic type has been writing in one form or another for most of life. You can find so many inspiration from Partial differential equations of parabolic type also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Partial differential equations of parabolic type book for free.



Generalized Functions and Partial Differential Equations

Generalized Functions and Partial Differential Equations Author Avner Friedman
ISBN-10 048615291X
Release 2011-11-30
Pages 352
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This self-contained text details developments in the theory of generalized functions and the theory of distributions, and it systematically applies them to a variety of problems in partial differential equations. 1963 edition.



Lectures on Partial Differential Equations

Lectures on Partial Differential Equations Author I. G. Petrovsky
ISBN-10 9780486155081
Release 2012-12-13
Pages 272
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Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.



Equations of Mathematical Physics

Equations of Mathematical Physics Author A. N. Tikhonov
ISBN-10 9780486173368
Release 2013-09-16
Pages 800
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DIVThorough, rigorous advanced-undergraduate to graduate-level treatment of problems leading to partial differential equations. Hyperbolic, parabolic, elliptic equations; wave propagation in space, heat conduction in space, more. Problems. Appendixes. /div



Introduction to Partial Differential Equations

Introduction to Partial Differential Equations Author Donald Greenspan
ISBN-10 0486414507
Release 1961
Pages 195
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Rigorous presentation, designed for use in a 1-semester course, explores basics; Fourier series; 2nd-order partial differential equations; wave, potential, and heat equations; approximate solution of partial differential equations, more. Exercises. 1961 edition.



Stochastic Differential Equations and Applications

Stochastic Differential Equations and Applications Author Avner Friedman
ISBN-10 9781483217888
Release 2014-06-20
Pages 316
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Stochastic Differential Equations and Applications, Volume 2 is an eight-chapter text that focuses on the practical aspects of stochastic differential equations. This volume begins with a presentation of the auxiliary results in partial differential equations that are needed in the sequel. The succeeding chapters describe the behavior of the sample paths of solutions of stochastic differential equations. These topics are followed by a consideration of an issue whether the paths can hit a given set with positive probability, as well as the stability of paths about a given manifold and with spiraling of paths about this manifold. Other chapters deal with the applications to partial equations, specifically with the Dirichlet problem for degenerate elliptic equations. These chapters also explore the questions of singular perturbations and the existence of fundamental solutions for degenerate parabolic equations. The final chapters discuss stopping time problems, stochastic games, and stochastic differential games. This book is intended primarily to undergraduate and graduate mathematics students.



Linear and Quasi linear Equations of Parabolic Type

Linear and Quasi linear Equations of Parabolic Type Author Olʹga Aleksandrovna Ladyzhenskai͡a
ISBN-10 0821886533
Release 1988
Pages 648
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Linear and Quasi linear Equations of Parabolic Type has been writing in one form or another for most of life. You can find so many inspiration from Linear and Quasi linear Equations of Parabolic Type also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Linear and Quasi linear Equations of Parabolic Type book for free.



Introduction to Partial Differential Equations with Applications

Introduction to Partial Differential Equations with Applications Author E. C. Zachmanoglou
ISBN-10 9780486132174
Release 2012-04-20
Pages 432
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This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.



A Collection of Problems in Mathematical Physics

A Collection of Problems in Mathematical Physics Author Boris Mikha?lovich Budak
ISBN-10 9780486658063
Release 1964
Pages 768
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Outstanding, wide-ranging material on classification and reduction to canonical form of second-order differential equations; hyperbolic, parabolic, elliptic equations, more. Bibliography.



Partial Differential Equations for Scientists and Engineers

Partial Differential Equations for Scientists and Engineers Author Stanley J. Farlow
ISBN-10 9780486134734
Release 2012-03-08
Pages 414
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Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.



Hyperbolic Partial Differential Equations

Hyperbolic Partial Differential Equations Author Peter D. Lax
ISBN-10 9780821835760
Release 2006
Pages 217
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The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a second-year graduate course on the subject. The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and role of characteristic surfaces and rays, energy, and energy inequalities. The structure of solutions of equations with constant coefficients is explored with the help of the Fourier and Radon transforms. The existence of solutions of equations with variable coefficients with prescribed initial values is proved using energy inequalities. The propagation of singularities is studied with the help of progressing waves. The second part describes finite difference approximations of hyperbolic equations, presents a streamlined version of the Lax-Phillips scattering theory, and covers basic concepts and results for hyperbolic systems of conservation laws, an active research area today. Four brief appendices sketch topics that are important or amusing, such as Huygens' principle and a theory of mixed initial and boundary value problems. A fifth appendix by Cathleen Morawetz describes a nonstandard energy identity and its uses.



Partial Differential Equations with Numerical Methods

Partial Differential Equations with Numerical Methods Author Stig Larsson
ISBN-10 9783540887058
Release 2008-12-05
Pages 262
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The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.



Computational Partial Differential Equations Using MATLAB

Computational Partial Differential Equations Using MATLAB Author Jichun Li
ISBN-10 1420089056
Release 2008-10-20
Pages 378
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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.



Introduction to Partial Differential Equations and Hilbert Space Methods

Introduction to Partial Differential Equations and Hilbert Space Methods Author Karl E. Gustafson
ISBN-10 0486612716
Release 1999
Pages 448
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This volume offers an excellent undergraduate-level introduction to the main topics, methods, and applications of partial differential equations. Chapter 1 presents a full introduction to partial differential equations and Fourier series as related to applied mathematics. Chapter 2 begins with a more comprehensive look at the principal method for solving partial differential equations — the separation of variables — and then more fully develops that approach in the contexts of Hilbert space and numerical methods. Chapter 3 includes an expanded treatment of first-order systems, a short introduction to computational methods, and aspects of topical research on the partial differential equations of fluid dynamics. With over 600 problems and exercises, along with explanations, examples, and a comprehensive section of answers, hints, and solutions, this superb, easy-to-use text is ideal for a one-semester or full-year course. It will also provide the mathematically inclined layperson with a stimulating review of the subject's essentials.



New Difference Schemes for Partial Differential Equations

New Difference Schemes for Partial Differential Equations Author Allaberen Ashyralyev
ISBN-10 3764370548
Release 2004-06-25
Pages 446
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This book explores new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for PDEs. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points, which permits investigation of differential equations with variable coefficients and regular and singular perturbation boundary value problems.