Partial Differential Equations of Parabolic Type

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.

Author: Avner Friedman

Publisher: Courier Corporation

ISBN: 9780486318264

Category: Mathematics

Page: 368

View: 311


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.

Numerical Methods for Partial Differential Equations

FRIEDMAN, A., Partial Differential Equations of Parabolic Type, Dover Books on Mathematics, New York, 2008. FRIES, T.-P. and MATTHIES, H.G., A Review of Petrov-Galerkin Stabilization Approaches and an Extension to Meshfree Methods, ...

Author: Vitoriano Ruas

Publisher: John Wiley & Sons

ISBN: 9781119111375

Category: Technology & Engineering

Page: 376

View: 980


Numerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas, Sorbonne Universités, UPMC - Université Paris 6, France A comprehensive overview of techniques for the computational solution of PDE's Numerical Methods for Partial Differential Equations: An Introduction covers the three most popular methods for solving partial differential equations: the finite difference method, the finite element method and the finite volume method. The book combines clear descriptions of the three methods, their reliability, and practical implementation aspects. Justifications for why numerical methods for the main classes of PDE's work or not, or how well they work, are supplied and exemplified. Aimed primarily at students of Engineering, Mathematics, Computer Science, Physics and Chemistry among others this book offers a substantial insight into the principles numerical methods in this class of problems are based upon. The book can also be used as a reference for research work on numerical methods for PDE’s. Key features: A balanced emphasis is given to both practical considerations and a rigorous mathematical treatment The reliability analyses for the three methods are carried out in a unified framework and in a structured and visible manner, for the basic types of PDE's Special attention is given to low order methods, as practitioner's overwhelming default options for everyday use New techniques are employed to derive known results, thereby simplifying their proof Supplementary material is available from a companion website.

Partial Differential Equations for Scientists and Engineers

Practical text shows how to formulate and solve partial differential equations.

Author: Stanley J. Farlow

Publisher: Courier Corporation

ISBN: 9780486134734

Category: Mathematics

Page: 414

View: 406


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.

Fourier Series Fourier Transforms and Function Spaces A Second Course in Analysis

... Partial differential equations of parabolic type, Dover Publications, 2008. J. Gallian, Contemporary abstract algebra, 8th ed., Cengage, 2012. S. Gelbart, An elementary introduction to the Langlands program, Bull. Amer. Math. Soc.

Author: Tim Hsu

Publisher: American Mathematical Soc.

ISBN: 9781470451455

Category: Education

Page: 354

View: 116


Fourier Series, Fourier Transforms, and Function Spaces is designed as a textbook for a second course or capstone course in analysis for advanced undergraduate or beginning graduate students. By assuming the existence and properties of the Lebesgue integral, this book makes it possible for students who have previously taken only one course in real analysis to learn Fourier analysis in terms of Hilbert spaces, allowing for both a deeper and more elegant approach. This approach also allows junior and senior undergraduates to study topics like PDEs, quantum mechanics, and signal processing in a rigorous manner. Students interested in statistics (time series), machine learning (kernel methods), mathematical physics (quantum mechanics), or electrical engineering (signal processing) will find this book useful. With 400 problems, many of which guide readers in developing key theoretical concepts themselves, this text can also be adapted to self-study or an inquiry-based approach. Finally, of course, this text can also serve as motivation and preparation for students going on to further study in analysis.

Hyperbolic Conservation Laws and Related Analysis with Applications

A. Friedman, Partial Differential Equations of Parabolic Type (Dover Books on Mathematics, New York, 2008) 7. G. Gui, Y. Liu, On the Cauchy problem for the Ostrovsky equation with positive dispersion. Commun. Partial Differ. Equ.

Author: Gui-Qiang G. Chen

Publisher: Springer Science & Business Media

ISBN: 9783642390074

Category: Mathematics

Page: 384

View: 795


This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications. Topics covered include a survey on multidimensional systems of conservation laws as well as novel results on liquid crystals, conservation laws with discontinuous flux functions, and applications to sedimentation. Also included are articles on recent advances in the Euler equations and the Navier-Stokes-Fourier-Poisson system, in addition to new results on collective phenomena described by the Cucker-Smale model. The Workshop on Hyperbolic Conservation Laws and Related Analysis with Applications at the International Centre for Mathematical Sciences (Edinburgh, UK) held in Edinburgh, September 2011, produced this fine collection of original research and survey articles. Many leading mathematicians attended the event and submitted their contributions for this volume. It is addressed to researchers and graduate students interested in partial differential equations and related analysis with applications.

Monte Carlo and Quasi Monte Carlo Methods

Kloeden, P.E., Platen, E.: Numerical solution of stochastic differential. 1. The C++ Programming Language. ... Friedman, A.: Partial differential equations of parabolic type. In: Dover Books on Mathematics Series. Dover Publications ...

Author: Ronald Cools

Publisher: Springer

ISBN: 9783319335070

Category: Mathematics

Page: 622

View: 850


This book presents the refereed proceedings of the Eleventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at the University of Leuven (Belgium) in April 2014. These biennial conferences are major events for Monte Carlo and quasi-Monte Carlo researchers. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasi-Monte Carlo methods. Offering information on the latest developments in these very active areas, this book is an excellent reference resource for theoreticians and practitioners interested in solving high-dimensional computational problems, arising, in particular, in finance, statistics and computer graphics.

Asymptotics of Elliptic and Parabolic PDEs

NY: Dover Books on Electrical Engineering. John, F. 1982. Partial Differential Equations, vol. 1, 4th ed., Applied Mathematical ... On equations of elliptic type and parabolic type with a small parameter in the highest derivative.

Author: David Holcman

Publisher: Springer

ISBN: 9783319768953

Category: Mathematics

Page: 444

View: 552


This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.

Basic Partial Differential Equations

Diaz , J. I. , Nonlinear partial differential equations and free boundaries , Pitman , Boston , 1985 . Dodziuk , J. , Eigenvalues of the Laplacin and the heat equation , Amer . Math . Monthly 88 ( 1981 ) , 686-695 .

Author: David. Bleecker

Publisher: CRC Press

ISBN: 9781351078535

Category: Mathematics

Page: 765

View: 439


Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. The reader will learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance the success of endeavours involving reasonably smooth, predictable changes of measurable quantities. This text enables the reader to not only find solutions of many PDEs, but also to interpret and use these solutions. It offers 6000 exercises ranging from routine to challenging. The palatable, motivated proofs enhance understanding and retention of the material. Topics not usually found in books at this level include but examined in this text: the application of linear and nonlinear first-order PDEs to the evolution of population densities and to traffic shocks convergence of numerical solutions of PDEs and implementation on a computer convergence of Laplace series on spheres quantum mechanics of the hydrogen atom solving PDEs on manifolds The text requires some knowledge of calculus but none on differential equations or linear algebra.

Partial Differential Equations of Mathematical Physics

CATALOG OF DOVER BOOKS Mathematics—Bestsellers HANDBOOK OF MATHEMATICAL FUNCTIONS: with Formulas, Graphs, and Mathematical Tables, Edited by Milton Abramowitz and Irene A. Stegun. A classic resource for working with special functions, ...

Author: Arthur Godon Webster

Publisher: Courier Dover Publications

ISBN: 9780486805153

Category: Mathematics

Page: 464

View: 222


A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers. Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.

Invitation to Partial Differential Equations

[18] N. V. Krylov, Lectures on elliptic and parabolic equations in Hölder spaces, Graduate Studies in Mathematics, vol. ... Partial differential equations, translated from the Russian by Scripta Technica, Ltd, Iliffe Books Ltd., ...

Author: Maxim Braverman

Publisher: American Mathematical Soc.

ISBN: 9780821836408

Category: Education

Page: 319

View: 807


This book is based on notes from a beginning graduate course on partial differential equations. Prerequisites for using the book are a solid undergraduate course in real analysis. There are more than 100 exercises in the book. Some of them are just exercises, whereas others, even though they do require new ideas to solve them, provide additional important information about the subject.