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         Differential Equations:     more books (100)
  1. Differential Equations: Linear, Nonlinear, Ordinary, Partial by A. C. King, J. Billingham, et all 2003-06-30
  2. Modern Elementary Differential Equations: Second Edition by Richard Bellman, Kenneth L. Cooke, 1995-08-15
  3. Fractional Differential Equations (Mathematics in Science and Engineering) (Mathematics in Science and Engineering) by Igor Podlubny, 1999-01-15
  4. Differential-Algebraic Equations: Analysis and Numerical Solution (EMS Textbooks in Mathematics) by Peter Kunkel, Volker Mehrmann, 2006-02-15
  5. An Introduction to Partial Differential Equations by Yehuda Pinchover, Jacob Rubinstein, 2005-06-13
  6. Partial Differential Equations: Methods and Applications (2nd Edition) by Robert McOwen, 2002-11-08
  7. Student Solutions Manual : Differential Equations and Boundary Value Problems Computing and Modeling 4e, Differential Equations Computing and Modeling 4e by Henry Edwards & David E. Penney C, 2008
  8. Ordinary Differential Equations by Richard K. Miller, Anthony N. Michel, 2007-11-19
  9. Student's Solutions Manual to accompany Differential Equations: Theory, Technique and Practice by George F Simmons, Steven G. Krantz, 2006-01-11
  10. Ordinary Differential Equations in the Complex Domain by Einar Hille, 1997-04-09
  11. Differential Equations: Modeling with MATLAB by Paul Davis, 1999-04-02
  12. Ordinary Differential Equations: Using Matlab (MATLAB Curriculum Series) by John C. Polking, 1995-04
  13. Partial Differential Equations of Applied Mathematics (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) by Erich Zauderer, 2006-08-04
  14. Partial Differential Equations: Analytical and Numerical Methods by Mark S. Gockenbach, 2002-10-01

81. Zuse Institute Berlin - Scientific Software - CodeLib
Fortran 77 codes for large systems of linear equations, systems of nonlinear equations, nonlinear least squares, ordinary differential equations, and quadrature.
http://www.zib.de/SciSoft/Software/../CodeLib/index.en.html
Scientific Software - CodeLib

82. Moved
Methods such as finite differences, finite elements, fast Fourier transforms, MonteCarlo and Lagrangian schemes are discussed in 1D to solve a variety of problems including the advection, diffusion, Black-Scholes, Burger, Korteweg-DeVries and the Schroedinger equations.
http://www.fusion.kth.se/courses/pde
frontdoor="http://pde.fusion.kth.se"; setTimeout("window.location=frontdoor;",200);

83. Differential Equations Via Maple
www.swetswise.com/link/access_db?issn=00122661 www.swetswise.com/link/access_db?issn=1040-7294 More results from www.swetswise.com Project Links differential equations Indexdifferential equations Modules. Full Metadata . Lake Pollution. v, This module on lake pollution is about using differential equations to model lake pollution.
http://www.uidaho.edu/~calvert/de.html
Learning Differential Equations with Maple
UPDATE on January 7, 2000, I changed the Maple worksheets to Version 5 format.
Over a period of several years I wrote and rewrote a set of Maple .mws files for use by my students in an introductory class in Ordinary Differential Equations. The files consist of a series of interactive readings on using Maple to learn a particular DE topic. Associated with each reading file is another file of exercises on the topic. If you examine these files, you will see that they amount to rather more than the usual set of laboratory exercises such as are available in several commercial workbooks. My intent in these lessons is to use Maple to teach differential equations techniques, rather than to teach about using Maple. On the other hand, the persistent student who works through these lessons will surely become an expert at using Maple. To obtain a copy of the shareware click on Maple files for DE
Load this file into the directory you want to use and run de.exe. It will explode into about 80 files. The files are in DOS format; however, they can easily be imported into a Macintosh machine (and probably others). You will probably need to use a DOS machine to run de.exe. If your web server cannot accomodate this transfer, you can obtain the file at ftp://ftp.uidaho.edu/pub/ibmpc/math/.

84. Nicoleta Bila
University of Cambridge. Geometric Integration of partial differential equations.
http://www.damtp.cam.ac.uk/user/na/people/Nicoleta/
Nicoleta Virginia Bila
Postdoctoral Research Associate
  • Curriculum Vitae (.pdf file)
  • Research Interests
  • Selected Papers
  • Statement of Teaching (.pdf file)
  • Workshops/Conferences
  • Links
  • Professional Address Department of Applied Mathematics and Theoretical Physics
    University of Cambridge

    Silver Street, Cambridge, CB3 9EW Phone: (+44) (0) 1223 337893,
    Fax: (+44) (0) 1223 337918
    Office S6, Numerical Analysis
    E-mail: N.Bila@damtp.cam.ac.uk
    Last updated: May 10, 2004
    var site="s13nicoleta"
  • 85. Differential Equations And Mathematica
    Welcome to your Online Mathematica Companion for differential equations ! The print version Linear Partial differential equations Appendix.
    http://www.math.armstrong.edu/faculty/hollis/mmade/
    Welcome to your
    Online Mathematica Companion for Differential Equations
    The print version
    Prentice Hall
    ISBN: 0130463299
    Contents and Preface
    0. Introduction to Mathematica
    1. Introduction to Differential Equations
    2. Linear First-Order Equations and Applications
    3. Nonlinear First-Order Equations and Applications
    4. Approximation of Solutions
    5. Coupled Pairs of First-Order Equations
    6. Second-Order Equations and Applications
    7. Linear Differential Systems
    8. Nonlinear Autonomous Systems in the Plane
    9. A Gallery of Nonlinear Systems
    10. Fourier Series and Sturm-Liouville Eigenvalue Problems
    11. Linear Partial Differential Equations
    Appendix. The DiffEqs Packages

    Resources The DiffEqs Packages Demo Notebooks Animation Notebooks Gallery of Nonlinear Systems ... Cool Palettes Primary Links Wolfram Research, Inc.

    86. COMSOL : FEMLAB - Multiphysics Modeling
    commercial A powerful interactive environment for modeling and solving scientific and engineering problems involving partial differential equations.
    http://www.femlab.com/
    Home Products Training Support User Stories Model Showroom Contact Us Quick links
    Product information
    Events Model Gallery Knowledge Base ... Contact Us
    Choose server:
    Europe North America Worldwide offices:
    Denmark Finland France Germany Norway Sweden United Kingdom United States Other... FEMLAB 3.0a Update
    The FEMLAB 3.0a update is now available for download
    Press release
    Benchmarks of Scientific Modeling Software Reveal That FEMLAB Rivals Specialized Packages
    ...
    Advanced Search

    87. Modules For Differential Equations
    Numerical Solutions of differential equations, World Class Sprints, SecondOrder Linear Homogeneous differential equations with Constant Coefficients,
    http://www.math.duke.edu/education/ccp/materials/diffeq/
    Click on a module name below to see an OVERVIEW of its contents. Modules Helper Application Tutorial Numerical Solutions of Differential Equations World Class Sprints Logistic Growth Model ... The van der Pol System Return to CCP Homepage Return to CCP Materials modules@math.duke.edu

    88. Visual Mathematical Physics
    Collection of animated gif pictures describing the solutions of the main partial differential equations such as Laplace, Poisson, string and membrane oscillations and heat conduction.
    http://www.isir.minsk.by/eng/educ/mathphys/
    Visual Mathematical Physics
    Mirrors:
    http://www.isir.minsk.by/eng/educ/mathphys/
    (you are here!)
    http://www.geocities.com/visualmathphys/
    Russian version:
    http://mathphys.by.ru/
    http://www.isir.minsk.by/rus/educ/mathphys/
    Parabolic Type Equations
    Hyperbolic Type Equations
    Elliptic Type Equations
    Vadim Zelenkov

    89. Math 848, Fall, 1998 Class Notes
    1. Introduction 2. Linear Transformations 3. General Properties of differential equations 4. Existence Uniqueness Theorem 5. Dependence of Solutions to
    http://www.mth.msu.edu/~sen/Math_848-ps/
    Math 848, Fall-2001 Class Notes
    Note: These are informal notes which are to be corrected and updated regularly.
    Math 848, Final Examination:
    Week of Dec. 10, 2001 (Time and place TBA)
    Prerequisite: Advanced Calculus, Linear Algebra, Analysis, suggested course to be taken in advance or concurrently: Math 828
    1. Introduction
    2. Linear Transformations
    3. General Properties of Differential Equations
    4. Existence Uniqueness Theorem ...
    21. Hamiltonian Systems and Variational Problems
    Exercises

    90. Hassane BOUZAHIR
    Neutral Functional differential equations with infinite delay. Preprints, CV, personal interests.
    http://www.geocities.com/hbouzahir
    Assistant Prof. Dr. Hassane BOUZAHIR
    Main Personal Education Dissertations ... Quotation
    WELCOME TO THE FIRST PERSONAL HOME PAGE AT ENSA-AGADIR
    Hassane BOUZAHIR
    Doctor of Cadi Ayyad University
    Former ATER at University of Pau
    Currently With
    ENSA-AGADIR
    E-mail: bouzahir(AT)esta.ac.ma
    School Phone: (00212) (0) 48232583 School Fax: (00212) (0) 48227824 Personal Handy: (00212) (0) 63486572
    Main Personal Education Dissertations ... Quotation
    Maintained by: Hassane Bouzahir
    Last update: November 24, 2003

    91. 35: Partial Differential Equations
    Like ordinary differential equations, partial differential equations are equations to be solved in which the unknown element is a function, but in PDEs the
    http://www.math.niu.edu/~rusin/known-math/index/35-XX.html
    Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields
    POINTERS: Texts Software Web links Selected topics here
    35: Partial differential equations
    Introduction
    Like ordinary differential equations, partial differential equations are equations to be solved in which the unknown element is a function, but in PDEs the function is one of several variables, and so of course the known information relates the function and its partial derivatives with respect to the several variables. Again, one generally looks for qualitative statements about the solution. For example, in many cases, solutions exist only if some of the parameters lie in a specific set (say, the set of integers). Various broad families of PDE's admit general statements about the behaviour of their solutions. This area has a long-standing close relationship with the physical sciences, especially physics, thermodynamics, and quantum mechanics: for many of the topics in the field, the origins of the problem and the qualitative nature of the solutions are best understood by describing the corresponding result in physics, as we shall do below. Roughly corresponding to the initial values in an ODE problem, PDEs are usually solved in the presence of

    92. 34: Ordinary Differential Equations
    Ordinary differential equations are equations to be solved in which the unknown element is a function, rather than a number, and in which the known information
    http://www.math.niu.edu/~rusin/known-math/index/34-XX.html
    Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields
    POINTERS: Texts Software Web links Selected topics here
    34: Ordinary differential equations
    Introduction
    Ordinary differential equations are equations to be solved in which the unknown element is a function, rather than a number, and in which the known information relates that function to its derivatives. Few such equations admit an explicit answer, but there is a wealth of qualitative information describing the solutions and their dependence on the defining equation. There are many important classes of differential equations for which detailed information is available. Applications to engineering and the sciences abound. Numerical solutions are actively studied.
    History
    Applications and related fields
    Note that every indefinite integration problem is really an example of a differential equation, so the entirety of section 28: Integration and Measure is subsumed in this section in principle. The solutions to many classic differential equations, particularly linear second-order differential equations, cannot be expressed in terms of the elementary functions but are themselves studied in 33: Special Functions . This includes Bessel functions, Whittaker functions, Airy functions, and so on.

    93. Math Shop Review Questions
    Review quizzes for calculus, differential equations, linear algebra and other advanced math fields.
    http://www.math.ucla.edu/~ronmiech/
    !DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN">
    Pic 20
    Java Applets Calculus 131A Problems Exam 1, Math 31A, Oct 24, 2002 Sample Final 31A
    Questions or comments? Send them to rjm@math.ucla.edu

    94. Differential Equations
    History of differential equations. differential equations are an integral part or a goal of many undergraduate calculus courses.
    http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib
    History of Differential Equations In many ways, differential equations are the heart of analysis and calculus, two of the most important branches of mathematics for over the past 300 years. Differential equations are an integral part or a goal of many undergraduate calculus courses. As an important mathematical tool for the physical sciences, the differential equation has no equal. So it is widely accepted that differential equations are important in both applied and pure mathematics. The history of this subject is rich in its development, and that's what we look at here. The foundations of this subject seem to be so dominated by the contributions of one man, Leonhard Euler , that one could say the history of this subject starts and ends with him. Of course, that would be a gross simplification of its development. There are many important contributors, and those who came before Euler were necessary so that Euler could understand the calculus and analysis necessary to develop many of the fundamental ideas. The contributors after Euler have both refined his work and forged entirely new ideas, inaccessible to Euler's 18

    95. Online And Private Math, Physics, Engineering, English Tutor In Redwood City & S
    Offers online and local private tutoring for elementary school to college level students. Subjects include algebra, geometry, trigonometry, precalculus, calculus, differential equations, electrical engineering, and elementary physics. Private tutoring is available in Redwood City, California area. Page includes contact information.
    http://www.askatutor.net/
    Welcome to Ask A Tutor Net Online and Private Tutors - Elementary School Through College Level Students Welcome Knowledge Excellence Empowerment Our Service Online Tutoring Private Tutoring Test Preparation ... Become a Private Tutor in your Area Download Example Problems (coming soon) Our Service
    • As online and private tutors for elementary school to college level students, we, at Ask A Tutor dot Net , perform quality tutoring in mathematics, elementary physics, electrical engineering, and/or English courses. We accept students on a single or reoccurring basis.
    What Students and Parents are Saying Subjects Tutored Math English Sciences Engineering Basic Math Composition Elementary Physics Circuits and Devices Algebra Grammar Biology Statics Pre Algebra Mechanics General Sciences Geometry Spelling Trigonometry Outlining Pre Calculus Sentences Calculus I, II, III Technical Writing Differential Equations Linear Algebra Finite Math Online Tutoring manrao@askatutor.net

    96. Differential Equations - UNCW & UALR
    differential equations Explorations Through Technology. Mirror site at UNCW Last Updated July 1, 1997. UNCW, UALR. differential equations Labs.
    http://www.ualr.edu/~erkaufmann/detech/Detech.html
    Differential Equations: Explorations Through Technology
    Mirror site at UNCW
    Last Updated July 1, 1997 UNCW UALR Russell Herman Eric R. Kaufmann herman@cms.uncwil.edu erkaufmann@ualr.edu Gabriel Lugo lugo@cms.uncwil.edu
    Statement of Purpose
    We have collaborated on a lab manual for our Introductory Differential Equations Course. The manual has been written to be used with most of the standard software on the market, but we have provided examples using either Mathcad 6.0 and Maple V Release 4. At least two-thirds of the labs involve applications of ODE's to the physical and biological sciences with several labs requiring data acquisition.
    Differential Equations Labs
    Getting Started DejaVu All Over Again Direction Fields First Order Linear Equations ... A House Made of Straws
    Student Projects in Differential Equations
    Electronic Data Acquisition (DAQ)
    • MBL
    • VITA - Video/Image Analysis (ToolBook)
    Software
    • Mathcad
    • Maple V
    On-Line Data Sources
    • Our Collection of Data
    • Data Sources on the Web
    Related Websites

    97. IVP Software By Francesca Mazzia And Felice Iavernaro
    The code GAM numerically solves solves first order ordinary differential equations, either stiff or nonstiff in the form y'=f(x,y), with a given initial condition. The code GAMD is a generalization of GAM for the solution of Differential Algebraic Equations of index less than or equal to 3 in the form M y' = f(x,y), with a given initial condition. By Francesca Mazzia.
    http://pitagora.dm.uniba.it/~mazzia/ode/readme.html
    Software for Initial Value Problems
    The code GAM numerically solves solves first order ordinary differential equations, either stiff or nonstiff in the form y'=f(x,y), with a given initial condition. The code GAMD is a generalization of GAM for the solution of Differential Algebraic Equations of index less than or equal to 3 in the form M y' = f(x,y), with a given initial condition. The methods used in both codes are in the class of Boundary Value Methods (BVMs), namely the Generalized Adams Methods (GAMs) of order 3,5,7,9 with step size control
    References
    F.IAVERNARO, F.MAZZIA, Block-Boundary Value Methods for the solution of Ordinary Differential Equation. Siam J. Sci. Comput. 21 (1) (1999) 323339. Full paper. F.IAVERNARO, F.MAZZIA, Solving Ordinary Differential Equations by Generalized Adams Methods: properties and implementation techniques, proceedings of NUMDIFF8, Appl. Num. Math. 28 (2-4) (1998) 107-126. Full paper.

    98. Differential Equations Calculator
    differential equations Calculator.
    http://www.compute.uwlax.edu/diff_eq/
    Differential Equations Calculator Main Page Calculus Calculus, 3-Dimensional Differential Equations ... Expert
    Two ODE Single ODE Matrix for 2x2 system Enter equations here: Initial Conditions: Plot Range: (USE * FOR MULTIPLICATION!) Independant Variable = Min x: Max x: Min y: Max y: Lines Arrows None Number of field points:
    If you have comments or questions about this page, please email Dr. Robert H. Hoar or Matt Bedalov

    99. Michael Holst (mholst@math.ucsd.edu)
    Numerically approximates the solutions of linear and nonlinear elliptic partial differential equations in threedimensional (logically) brick-like domains in an efficient and robust way. PMG employs a non-uniform Cartesian mesh of the user's choice, box-methods or finite element methods for discretization, algebraic (or geometric) construction of lower-dimensional subspace problems, damped-inexact Global Newton methods for nonlinearities, and a jacobian multilevel iteration based on the algebraic (or geometric) subspace hierarchy. There is a sequential Fortran 77 version and a parallel C++ version. By Michael Holst.
    http://scicomp.ucsd.edu/~mholst/codes/pmg/index.html
    PMG = Parallel algebraic MultiGrid
    Overview
    PMG is an algebraic multilevel code written in several languages (FORTRAN, C, C++, and CC++). The original FORTRAN/C/C++ versions were written for sequential computers, whereas the more recent CC++ port is a distributed memory parallel implementation. All of the versions of PMG are designed to numerically approximate the solutions of linear and nonlinear elliptic partial differential equations in three-dimensional (logically) brick-like domains in an extremely efficient and robust way. To accomplish this task, PMG employs a non-uniform Cartesian mesh of the user's choice, box-methods or finite element methods for discretization, algebraic (or geometric) construction of lower-dimensional subspace problems, damped-inexact Global Newton methods for nonlinearities, and a jacobian multilevel iteration based on the algebraic (or geometric) subspace hierarchy. The code is applicable to three-dimensional nonlinear Poisson-like scalar equations, allowing for nonlinearities that depend on the scalar unknown (but not on derivatives); nonlinearities of this type occur in the Poisson-Boltzmann equation as well as in other applications, such as the drift-difussion equations in semiconductor modeling. The class of problems for which the code is applicable can be extended with suitable modifications to the code (the methods need not be modified). For strongly elliptic equations with self-adjoint differential operators and smooth coefficients, the solution method is provably optimal (meaning O(N), where N mesh points are used on the finest user-specified mesh). For strongly elliptic self-adjoint operators with simple coefficient discontinuities, the solution method is provably O(N log N). For strongly elliptic self-adjoint operators with arbitrary discontinuities, the solution method is provably convergent, and emperically appears to retain the O(N log N) behavior.

    100. (Germany) Universität Erlangen-Nürnberg
    DIME Project Data Local Iterative Methods for the Efficient Solution of Partial differential equations. People, publications, software.
    http://wwwbode.cs.tum.edu/Par/arch/cache/

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