101. 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

102. Differential Equations Via Maple link.springer.de/link/service/journals/00030/ PDF differential equations. differential equation Find all the 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/.

103. Project Links | Differential Equations Index differential equations Modules. Full Metadata . Lake Pollution. v, This module on lake pollution is about using differential equations to model lake pollution. http://links.math.rpi.edu/webhtml/DEindex.html

Differential Equations Modules To find out more about what the version numbers mean, click on any of the indicators. Down to the Mechanical Oscillations Modules Boundary Value Problems for ODEs writeVersionGraphic("BoundaryValue"); v writeVersionNumber("BoundaryValue"); Introduction to boundary value problems and eigenvalue problems for ODEs in the context of buckling,heat conduction/diffusion,vibration problems. Intro to Fourier method. Authors: Richard Weinacht, George Hsiao, B. Lenhoff, Andrew Zydney, Jack R. Vinson Keywords: differential equations, heat transfer, diffusion, strength of materials, buckling, heat conduction, vibrating beam, vibrating string, BVP, eigenvalue Learning Level: College Platform: Project Links base technical requirements Applets: [ Full Metadata ] Continuously Stirred Reactor writeVersionGraphic("CSTR"); v writeVersionNumber("CSTR"); The most important unit operation in a chemical process is generally a chemical reactor. Chemical reactions are either exothermic (release energy) or endothermic (require energy input) and therefore require that energy either be removed or added to the reactor for a constant temperature to be maintained. Exothermic reactions are the most interesting systems to study because of potential safety problems (rapid increases in temperature, sometimes called "ignition" behavior) and the possibility of exotic behavior such as multiple steady-states (for the same value of the input variable there may be several possible values of the output variable). In this module we consider a perfectly mixed, continuously stirred tank reactor (CSTR).

104. 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

105. Interactive Differential Equations http://www.awlonline.com/ide/

106. 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

107. Ingenta: All Issues -- Journal Of Differential Equations user name. password. remember me. enter. Athens click here to login via Athens. Journal of differential equations, ISSN 00220396 in our http://www.ingenta.com/journals/browse/ap/de

guest need help? online articles fax/ariel articles user name password remember me Athens click here to login via Athens Journal of Differential Equations ISSN 0022-0396 in our archives: Volume 124 (1996) through Volume 187 (2003) Publisher: Academic Press see publisher's website see journal home page LATEST NEXT PREVIOUS EARLIEST Volume 187, Issue 1, January 2003 Volume 186, Issue 2, December 2002 Volume 186, Issue 1, November 2002 Volume 185, Issue 2, November 2002 Volume 185, Issue 1, October 2002 Volume 184, Issue 2, September 2002 Volume 184, Issue 1, September 2002 Volume 183, Issue 2, August 2002 Volume 183, Issue 1, July 2002 Volume 182, Issue 2, July 2002 Volume 182, Issue 1, June 2002 Volume 181, Issue 2, May 2002 Volume 181, Issue 1, May 2002 Volume 180, Issue 2, April 2002

108. 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.

109. 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.

110. 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. Mathematica Information Center Student Support Forum Technical FAQs ... MathGroup Other Mathematica -related Sites Send comments/questions/suggestions/rants here Designed for Safari.

111. DiME Project Homepage 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/

112. Topics In Differential Equations Topics in differential equations. Contents. R4 Text Version (Worksheet) First Order differential equations (tutorials). A look at http://calclab.math.tamu.edu/docs/math308/topics.html

Topics in Differential Equations Contents Introductory Material First Order Differential Equations Applications of First Order Differential Equations Numerical Methods for First Order Differential Equations ... Notes on these worksheets Introductory Material tutorials DE quick tour for Maple A first day demo of using dsolve, odeplot, DEplot1, etc. Using Maple for DE Example of using Maple to analyze two nonlinear DEs Intro to DEs on Maple Several DEs solved and checked w/ Maple. Maple V R.3 Maple V R.4 Using dsolve to find exact solutions of many differential equations or systems of equations, with or without initial conditions.Intro to DEs on Maple. Maple V R3: Text Version Worksheet Maple V R4: Text Version Worksheet First Order Differential Equations tutorials A look at the separable DE dy x^2 = - dx 1-y^2 Solutions are found by finding the integral curves. Maple Code to determine whether or not a DE is separable. Solving y'=x^2+y^2 Three different methods of solving this: exactly, graphically, numerically. An Solving y'=sin(x) + sin(y) Example of a DE Maple cannot solve. DEplot is used to figure out what is happening.

113. Computer Methods For Mathematical Computations Code from the book, translated to ELF, a Fortran 90 subset. Algorithms for calculations in science and engineering, including linear equations, spline interpolation, integration, differential equations, zero finding, minimization and singular value decomposition. http://www.pdas.com/fmm.htm

PDAS home Public Domain Aeronautical Software (PDAS) Computer Methods for Mathematical Computations Computer Methods for Mathematical Computations by George Forsythe, Michael Malcolm and Cleve Moler is one of the great classic textbooks of numerical methods for scientists and engineers. Many people (myself included) have used the book as a reference and used the programs as tools for a variety of computing projects. Although the algorithms are still usable in their original pre-Fortran 77 format, the readability and usability is greatly enhanced by using the coding style of modern Fortran. I have rewritten the procedures in modern Fortran. In particular, the library will now compile correctly using Lahey Essential Fortran (ELF), which is a subset of the general Fortran language. Successful compilation with ELF is a virtual guarantee that you are not using any proprietary Fortran extensions that might affect the portability of your code. List of Procedures and arguments Source code for the library of algorithms Source code for the sample problems Expected results from running the samples Comments on the modern coding These codes are on the current (version 8) disc. I intend to replace the routines that were originally included with some of the aeronautical programs with the counterparts from this library.

114. 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 UNCW - Fall 1996 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 Summer II 1997 Dynanical Systems Course at UALR Summer II 1997 DE Course at UALR Fall 1996 DE Course at UNCW MCP Calculus Labs ... MCP Project DE Resource Pages University Mathematics Departments UNCW UALR

115. EASY-FIT Used to identify parameters in explicit model functions, dynamic systems of equations (steadystate), Laplace transforms, ordinary differential equations, differential algebraic equations and one-dimensional partial differential equations. Proceeding from given experimental data. For example, observation times and measurements, the minimum least squares distances of measured data from a fitting criterion are computed, that may depend on the solution of the dynamic system. http://www.uni-bayreuth.de/departments/math/~kschittkowski/easy_fit.htm

EASY-FIT Version 3.37 (2004) Software for parameter estimation (data fitting, system identification, nonlinear regression) in ... explicit model functions Laplace transforms steady state systems ordinary differential equations (ODE) differential algebraic equations (DAE) one-dimensional, time-dependent partial differential equations (PDE) one-dimensional, partial differential algebraic equations (PDAE) Please see ... how to estimate parameters of a dynamic model in 4 steps some features numerical algorithms graphical user interface ... relevant publications How to get the software ... free demo version student version (reduced features) version for academic sites commercial version with additional support (presentation, extended support, installation, maintenance) For more details, evaluation version, temptative numerical tests, and model analysis contact the author Highlights since Version 3.0 ... coupled algebraic ordinary differential equations for PDAEs, e.g., to define implicit boundary conditions faster executables MODFIT.EXE and PDEFIT.EXE negative initial values for ODEs and PDEs, e.g., to handle models with unknown initial times

116. MathGrapher | The Mathematical Graphing Tool For Students, Scientists And Engine Mathematical graphing tool for 2D and 3D functions, data, nonlinear curve fitting and integration of coupled ordinary differential equations. http://www.mathgrapher.com/

A Windows based mathematical graphing tool for 2D and 3D Functions and Data, shaded surfaces, contour plots. Includes linear and nonlinear curve fitting. You may integrate and analyse systems of up to 20 coupled ordinary differential equations (ODE's). Analysis tools include power spectrum calculation and Poincare sections. You may use these tools to study chaos in dynamical systems. Introduction Mathematical graphing tool for 2D and 3D functions and data. Includes nonlinear curve fitting and integration of coupled ordinary differential equations (ODE's). Study chaos in dynamical systems. MathGrapher ranks between graphical calculators and full-fledged mathematical tools like Mathematica. It is powerfull, easy to use and will probably meet your demands for a price that consists of only 2 instead of 4 digits. A fully functional trial version of Mathgrapher has just been released. You are invited to download it. Install Mathgrapher, start the Demonstrations and see what Mathgrapher can do for you. Purchasing will be possible in a few weeks. Functions in 2D and 3D MathGrapher is a graphical calculator for functions of the form F(x) and F(x,y) containing up to 20 subfunctions and 150 numerical and 100 named constants. Cartesian as well as polar coordinates can be chosen and functions can be represented in patametrized form (2D). F(x,y) can be represented in 2D and 3D by Shaded surfaces, Contour plots and Cross-sections through Contourplots. In the 3D viewer you may rapidly vary the viewing angle, distance and shading of the 3D surface using your mouse.

117. Www.interscience.wiley.com/jpages/0749-159X/ www.interscience.wiley.com/jpages/0749159X 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.interscience.wiley.com/jpages/0749-159X/

118. Tom Kurtz Home Page University of Wisconsin Madison. Research interests include limit theorems for stochastic differential equations, particle representations of measure-valued processes, stochastic partial differential equations, filtering for Markov processes, large deviations and modeling of spatial point processes. http://www.math.wisc.edu/~kurtz/

Professor Thomas G. Kurtz Ph.D., 1967, Stanford University Professor of Mathematics and Statistics Office: FAX: kurtz@math.wisc.edu Mailing address: Department of Mathematics University of Wisconsin - Madison Lincoln Drive Madison WI Fall 2004 Courses Math 833 Topics in the Theory of Probability: Martingale Problems and Stochastic Equations for Markov Processes Stat 311 Introduction to Mathematical Statistics Opportunities for Probabilists Pre- and Postdoctoral Fellowships at Wisconsin Intern Program in Probability and Stochastic Processes June 23 - August 8, 2003 IMA Program on Probability and Statistics in Complex Systems September, 2003 – June, 2004 Seminars Probability Seminar Mathematics Colloquium Systems Seminar Statistics Seminar ... VIGRE Meetings LMS Durham Symposium: Markov Chains July 25 – August 4, 2003 University of Durham Workshop on Stochastic Partial Differential Equations , September 27 – October 2, 2003 , BIRS, Banff Midwest Probability Colloquium October , Northwestern University Conference on Stochastic Processes and Interacting Particle systems , December 12-14, ISI, Delhi Conference on Stochastic Networks July 19-24, 2004

119. An Introduction To Differential Equations An Introduction to differential equations. the function and its first derivative are defined. Some other differential equations http://www.physics.ohio-state.edu/~physedu/mapletutorial/tutorials/diff_eqs/intr

An Introduction to Differential Equations First-Order Homogeneous Linear Diff Eqs Tutorial Index First-Order Nonhomogeneous Linear Diff Eqs Maple Index ... Problem Set Index Let's start with a definition of a differential equation. A differential equation is an equation that defines a relationship between a function and one or more derivatives of that function. Let y be some function of the independent variable t . Then following are some differential equations relating y to one or more of its derivatives. The equation states that the first derivative of the function y equals the product of and the function y itself. An additional, implicit statement in this differential equation is that the stated relationship holds only for all t for which both the function and its first derivative are defined. Some other differential equations: The typical real world situation that involves modeling with differential equations is one in which a quantity that changes in time, y(t) , is related to the rate at which it changes, , and/or the acceleration of the change, . Usually these relationships can be stated in equations such as those above without knowing the exact function y(t) that satisfies the relationship. To solve a differential equation means to find a

120. Центр Применений Maple Живые дифференциальные уравнения. differential equations in Maple. http://www.demapler.narod.ru

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