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Author : Donald Greenspan
Publisher : Prentice Hall
Page : 208 pages
File Size : 48,7 Mb
Release : 1968
Category : Boundary value problems
ISBN : UOM:39015001317042
Author : Philip L. Korman
Publisher : American Mathematical Soc.
Page : 399 pages
File Size : 47,5 Mb
Release : 2019-08-30
Category : Differential equations
ISBN : 9781470451738
Lectures on Differential Equations provides a clear and concise presentation of differential equations for undergraduates and beginning graduate students. There is more than enough material here for a year-long course. In fact, the text developed from the author's notes for three courses: the undergraduate introduction to ordinary differential equations, the undergraduate course in Fourier analysis and partial differential equations, and a first graduate course in differential equations. The first four chapters cover the classical syllabus for the undergraduate ODE course leavened by a modern awareness of computing and qualitative methods. The next two chapters contain a well-developed exposition of linear and nonlinear systems with a similarly fresh approach. The final two chapters cover boundary value problems, Fourier analysis, and the elementary theory of PDEs. The author makes a concerted effort to use plain language and to always start from a simple example or application. The presentation should appeal to, and be readable by, students, especially students in engineering and science. Without being excessively theoretical, the book does address a number of unusual topics: Massera's theorem, Lyapunov's inequality, the isoperimetric inequality, numerical solutions of nonlinear boundary value problems, and more. There are also some new approaches to standard topics including a rethought presentation of series solutions and a nonstandard, but more intuitive, proof of the existence and uniqueness theorem. The collection of problems is especially rich and contains many very challenging exercises. Philip Korman is professor of mathematics at the University of Cincinnati. He is the author of over one hundred research articles in differential equations and the monograph Global Solution Curves for Semilinear Elliptic Equations. Korman has served on the editorial boards of Communications on Applied Nonlinear Analysis, Electronic Journal of Differential Equations, SIAM Review, an\ d Differential Equations and Applications.
Author : L. Nirenberg
Publisher : American Mathematical Soc.
Page : 70 pages
File Size : 49,6 Mb
Release : 1973
Category : Mathematics
ISBN : 0821888668
Author : Greenspan
Publisher : Academic Press
Page : 311 pages
File Size : 48,7 Mb
Release : 1974-05-31
Category : Computers
ISBN : 9780080956169
Discrete Numerical Methods in Physics and Engineering
Author : Donald Greenspan
Publisher : CRC Press
Page : 140 pages
File Size : 49,6 Mb
Release : 2018-03-05
Category : Mathematics
ISBN : 9780429973024
First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.
Author : John R. Rice,Ronald F. Boisvert
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461250180
ELLP ACK is a many faceted system for solving elliptic partial differential equations. It is a forerunner of the very high level, problem solving environments or expert systems that will become common in the next decade. While it is still far removed from the goals of the future, it is also far advanced compared to the Fortran library approach in common current use. Many people will find ELLP ACK an easy way to solve simple or moderately complex elliptic problems. Others will be able to solve really hard problems by digging a little deeper into ELLP ACK. ELLP ACK is a research tool for the study of numerical methods for solving elliptic problems. Its original purpose was for the evaluation and comparison of numerical software for elliptic problems. Simple examples of this use are given in Chapters 9-11. The general conclusion is that there are many ways to solve most elliptic problems, there are large differences in their efficiency and the most common ways are often less efficient, sometimes dramatically so.
Author : Solomon Lefschetz
Publisher : Princeton University Press
Page : 228 pages
File Size : 43,9 Mb
Release : 1948
Category : Mathematics
ISBN : 0691083959
The description for this book, Lectures on Differential Equations. (AM-14), Volume 14, will be forthcoming.
Author : Tai-Ping Liu,Ivo Babuška,John Osborn
Publisher : Unknown
Page : 596 pages
File Size : 54,8 Mb
Release : 1981*
Category : Differential equations, Partial
ISBN : OCLC:150475144
Contents: Adapting Courant-Friedrichs-Levy to the 1980's; Parametrization Methods for Approximation of Solutions of Elliptic Boundary Value Problems; Two Mixed Finite Element Methods for the Simply Supported Plat Problem; Approximation of Non-linear Problems; Two-dimensional Approximations of Three-dimensional Models in Nonlinear Plate Theory; Changing Meshes in Time-dependent Problems; Alternating-direction Galerkin Methods for Parabolic Hyperbolic and Sobolev Partial Differential Equations; Galerkin Methods for Miscible Displacement Problems with Point Sources and Sinks-Unit Mobility Ratio Case; Overtaking of Shock Waves in Steady Two-dimensional Supersonic Flows; Homogenization, Convex Analysis, and the Geometry Optimization of Engineering Structures; Stability and Error Bounds for a Fractional Step Scheme to Compute Weak Solutions of the Nonlinear Waterhammer Problem; Schauder Estimates for Finite Element Approximations of Second Order Elliptic Boundary Value Problems; Analysis of Some Contact Problems in Nonlinear Elasticity; Single Step Methods for Linear Differential Equations in Banach Spaces; The Quasi-optimality in the Maximum Norm of the H1 Projection into Piecewise Linear Functions in the Plane: a Complete Proof (Second lecture); A Brief Survey of Parabolic Smoothing and How It Affects a Numerical Solution: Finite Differences and Finite Elements (Third lecture); Integral Equation Methods for Mixed Boundary Value Problems (Second lecture).
Author : Sylvia Weiser
Publisher : Unknown
Page : 234 pages
File Size : 49,8 Mb
Release : 1972
Category : Engineering
ISBN : UOM:39015005265635
Author : C. R. Amerman
Publisher : Unknown
Page : 68 pages
File Size : 41,8 Mb
Release : 1976
Category : Groundwater flow
ISBN : UCR:31210026469989
Author : Anonim
Publisher : Unknown
Page : 286 pages
File Size : 43,5 Mb
Release : 1975
Category : Agriculture
ISBN : CHI:096844701
Author : United States. Agricultural Research Service
Publisher : Unknown
Page : 68 pages
File Size : 49,7 Mb
Release : 1976
Category : Agriculture
ISBN : STANFORD:36105210380254
Author : Robert W. McKelvey
Publisher : Unknown
Page : 320 pages
File Size : 46,7 Mb
Release : 1970
Category : Differential equations
ISBN : UCAL:B4405930
Author : Ernst Hairer,Christian Lubich,Michel Roche
Publisher : Springer
Page : 146 pages
File Size : 51,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540468325
The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such problems arise in a variety of applications, e.g. constrained mechanical systems, fluid dynamics, chemical reaction kinetics, simulation of electrical networks, and control engineering. From a more theoretical viewpoint, the study of differential-algebraic problems gives insight into the behaviour of numerical methods for stiff ordinary differential equations. These lecture notes provide a self-contained and comprehensive treatment of the numerical solution of differential-algebraic systems using Runge-Kutta methods, and also extrapolation methods. Readers are expected to have a background in the numerical treatment of ordinary differential equations. The subject is treated in its various aspects ranging from the theory through the analysis to implementation and applications.
Author : Tadeusz Stys
Publisher : Bentham Science Publishers
Page : 159 pages
File Size : 50,5 Mb
Release : 2009-08-11
Category : Mathematics
ISBN : 9781608050567
This Ebook is designed for science and engineering students taking a course in numerical methods of differential equations. Most of the material in this Ebook has its origin based on lecture courses given to advanced and early postgraduate students. This