121. Horwitz, Alan Professor of mathematics at the Delaware County Campus of Penn State University in Media, PA. His research interests polynomial interpolation, numerical integration, algebraic differential equations, means, and ratios of polynomials with real zeros. http://www.math.psu.edu/horwitz/

122. Interactive Math Programs Partial differential equations. FOURIER plots partial sums of Fourier series; HEAT- plots graph of heat equation solutions; WAVE - plots graph of wave http://www.dartmouth.edu/~rewn/javaindex.html

Interactive Math Programs These programs are designed to be used with Multivariable Mathematics by R.E. Williamson and H.F. Trotter, and Introduction to Differential Equation s by Richard E. Williamson, but are quite generally useful for illustrating concepts in the areas covered by the texts. So have fun, experiment with different values, and let us know if you have any trouble. These programs were originally written in True Basic for the Macintosh by Richard Williamson. The translation into Java and the writing of a recursive descent equation parser was done by Scott Rankin and Susan Schwarz. To run one of the programs in the list below, just click on its name. Each program displays a brief explanation of how to use it. If you run into difficulties, here are more detailed instructions on running the applets. The first time you try any of the programs you may want to look at the link anyway. If you do not see the buttons that are used to run the program, you may need to scroll down in the browser window until the buttons are visible. Multivariable Calculus Ascent - steepest ascent method Ascent+ - steepest ascent method with variable step-size Cplot-2D - plot parametric curves in 2-space Cplot-3D - plot parametric curves in 3-space Gplot-3D - plot graph of F(x,y)

123. Overview Of Mathematical And Statistical Software Libraries Source code and documentation for libraries in the areas of geophysical science, Fast Fourier Transforms, separable elliptic PDEs, interpolation, Legendre polynomials, spherical harmonics, general mathematics, eigensystem solvers, linear equation solvers, nonlinear equation solvers, ordinary differential equations, special functions, and statistics. http://www.scd.ucar.edu/softlib/mathlib.html

NCAR's Mathematical and Statistical Libraries NCAR's Scientific Computing Division maintains a large and valuable collection of mathematical and statistical software. The collection is maintained to provide NCAR's computer users with software to assist them in their computational efforts on NCAR computers. Savvy users will note that many of the libraries mentioned below are available from the netlib facility at Oak Ridge National Laboratory. Although copies are maintained at NCAR for convenient reference, it is recommended that users obtain official source code from netlib, except for the six math libraries developed at NCAR. Any source code available through this distribution interface at NCAR is free of charge, but there is no guarantee. Below is a list of NCAR's mathematical and statistical libraries that are available on various computers maintained by SCD at NCAR. You may obtain more information on each library listed below by clicking on any underlined name instance. Note that only the libraries in the first section below were developed at NCAR. Many of the libraries in the other categories are licensed for use at NCAR, and by contractual agreement with the vendor, may not be distributed. NCAR/SCD-Developed Math Libraries for Geophysical Science ALFPACK FFTPACK FISHPAK MUDPACK ... REGRIDPACK Fast Fourier Transforms SCI ECMFFT GPFA FFTPACK Separable Elliptic PDEs CRAYFISHPAK MUDPACK FISHPAK Interpolation FITPACK REGRIDPACK Legendre Polynomials ALFPACK Spherical Harmonics SPHEREPACK General Mathematics

124. Calculus@Internet Webprimitives Calculus@Internet Topic differential equations differential equations with Technology Mathematica 3.0 http://www.calculus.net/ci2/search/?request=category&code=18&off=0&tag=920043892

125. 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

126. CAAM 436 CAAM 436. Partial differential equations of Mathematical Physics. Course Staff and Administrative Information Reading List Grading Honor Code Policy http://www.caam.rice.edu/~caam436/

CAAM 436 Partial Differential Equations of Mathematical Physics Course Staff and Administrative Information Reading List Homework Assignments This web page is maintained by William W. Symes Your comments are warmly appreciated.

127. 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. Mathgrapher version 2 has just been released. You are invited to download a fully functional trial version. Install Mathgrapher, start the Demonstrations and see what Mathgrapher can do for you. 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.

128. Math 55 - Differential Equations First order differential equations (all derivatives are first derivatives) differential equations is taught in our phsyics laboratory where each student http://online.redwoods.cc.ca.us/instruct/darnold/DiffEq/

Math 55 - Differential Equations Instructor: David Arnold What Is Differential Equations? The Math 55 course at College of the Redwoods is an intoductory course in differential equations. Its primary emphasis is finding the solutions of equations involving derivatives of functions. Along the way students will study First order differential equations (all derivatives are first derivatives) Second order differential equations Applications and Models First order systems (systems of equations involving only first derivatives) Linear systems Nonlinear systems What Are The Prerequisites? Students need to complete two courses in calculus differentiation and integration before enrolling in differential equations. It is helpful (but not required) if you have completed courses in linear algebra and multivariable calculus. Linear algebra and multivariable concepts are developed in the differential equations course as needed, so students should not feel that they are at a disadvantage if they have not completed courses in multivariable calculus and linear algebra. In fact, many students in other disciplines (e.g. biology) perform very well in differential equations courses after completing only the required calculus courses (differentiation and integration). Who Takes Differential Equations?

129. Ritesh's Homepage Research Scholar at IIT Kanpur. Numerical solution of partial differential equations. http://home.iitk.ac.in/student/riteshkd/

Ritesh's Stuff Hi, This is Ritesh kumar Dubey and I welcome you to my place on web. Here you can find a bit about me. Few lines about Professional side I obtained my master's degree from University of Roorkee (now changed to Indian Institute of Technolgy, Roorkee, India Currently I am involve in research at The Department of Mathematics, Indian Institute of Technology, Kanpur,India My thesis supervisor is Prof. M. K. Kadalbajoo . My Area of research is Numerical solution for Partial differential Equations. Topics of Interest 1. Numerical Analysis. 2. Coding Theory. 3. Number Theory. 4. Quantum Computing Games and Hobbies My favourite games are Billiards, Snookar and Table tennis. As for as my hobbies are concern there is a problem of unstability, in fact my hobbies do not converge to particular one. Sometimes I do Scatching, sometimes I love to cook some nice stuff in kitchen, some times ...... Friend's List Please do believe me it is much more longer as it looks. Few names (with there nick name if it is there )in periodical order are :- Pankaj, Vijay (Shushil), Lalit (Pahadi), Rajeev (Tota), Jai Kumar (Sir ji), Amit Bhati (keedo), Anuj Bhardwaj (Sukhha), Vivek Kumar (Poppaa), Narendra Singh Garia (Naaroo), Laltu Chandra (Bangali), Neeraj (Bond), Abhilash GJ (Jai), Atul Kumar, Subir Singh Lamba, Arya Kumar vedbarta chand, Mohd. Sajid, Anjan chakarvorty, Rajan Pandey, Chandan Upadhyay

130. The Standard Deviants: Differential Equations differential equations homework help at your fingertips Take our differential equations test! Get ready for the big differential equations exam by http://www.standarddeviants.com/pls/brain/goldhil.show_subject?p_subject_id=28

131. Welcome To Johannes.kropf.at Applied mathematics, respective to continous simulation mapping natural and technical processes onto a mathematical model which normally results in ordinary or partial differential equations. Interests especially focus on physiological processes like blood flow in arteries. Publications in PDF and current projects. http://johannes.kropf.at

c.v. interests publications projects ... links current internet time

132. LMS/EPSRC Short Course On Computational Differential Equations An LMS/EPSRC short course. University of Manchester, UK; 1116 September 2005. http://www.ma.man.ac.uk/~higham/cde05/

LMS/EPSRC Short Course on Computational Differential Equations September 11-16, 2005 MIMS School of Mathematics University of Manchester Organiser: Professor Nicholas J. Higham [Introduction] [Programme] [Course Overview] ... [Further Information] Here is the programme including information on accommodation at Hulme Hall. Introduction Differential equations (DEs) are ubiquitous in science and engineering, being used for all kinds of modelling and prediction. The solutions to most DEs have no convenient explicit form and hence the numerical solution Programme The course will open with a formal welcome on Sunday evening in Hulme Hall, followed by an opening lecture on computational differential equations that will set the scene for the course, given by Professor Peter Jimack of the University of Leeds. The remaning course lectures and laboratories will be held in the Ferranti Building on the University of Manchester campus (building 20 on the campus map ). Monday morning will consist of an introduction to MATLAB, given by the course organizer, with a combined lecture/laboratory session. Courses 1-3 will start on Monday afternoon, with one hour introductory lectures. The remaining 6 half-day sessions contain a further 6 contact hours per course, split flexibly between lectures and laboratory sessions. The laboratory sessions will involve the students working through example sheets with the aid of the lecturer and two demonstrators. Lunches will be on campus. The students will stay in Hulme Hall (20 minutes walk from campus), where other meals will be taken.

133. Department Of Scientific Computing (Director: Prof. Dr. Peter Zinterhof) Department of Scientific Computing. Research areas cover high dimensional number theoretic numerics, image and video processing, parallel processing, automated theorem proving and artificial intelligence, foundations of abstract signal processing, computer science and society, theoretical physics, integral and differential equations, and neural networks. http://www.cosy.sbg.ac.at/sc/

You are looking at an outdated web page. Please follow us to http://www.scicomp.sbg.ac.at/ News Home Department Info Faculty and Staff Research and Projects Information for Students ... secure connection Welcome to the Department of Scientific Computing URL: http://www.cosy.sbg.ac.at:80/sc/index.html - last modified: Friday, 25-Jun-2004 14:57:55 CEST webmaster contact:

134. SpringerLink - Publication springerlink.metapress.com/link.asp?id=106283 BUBL LINK differential equationsdifferential equations Resource Centre Information on differential Subjects calculus, differential equations, mathematics research, optimisation http://springerlink.metapress.com/openurl.asp?genre=journal&issn=1040-7294

135. Math Unit III: More On The Derivative And Differential Equations Exact definition of derivation and calculating the relationship of derivatives of related functions. http://dept.physics.upenn.edu/courses/gladney/mathphys/subsection3_1_1.html

Back to Contents! Next: Force Revisited Up: CONSERVING EQUATIONS Previous: CONSERVING EQUATIONS Math Unit III: More on the derivative and differential equations In the last unit, we discussed how mathematicians and scientists deal with quantities that change in ways other than linearly. The key idea turns out to be the rate of change of the quantity. The lowbrow way to measure the rate of change is to compute the average rate of change over a small interval. The high-class way to talk about change is to try to compute the derivative , or instantaneous rate of change In real-world situations, when one deals with measured data, it is often the case that the data has been measured only for certain specific values of the independent variable. Then, one can only compute average rates of change between the data points. But in mathematics, when one deals with abstractly-defined functions, it is possible to compute derivatives. Often, mathematical models are developed using derivatives, predictions are made based upon these mathematical models, and then experimental results are compared to the predictions to see how well the models reflect reality. 1. Review and extensions

136. Yunkang Liu's Home Page University of Cambridge. Analytic solution (stability and asymptotics) and numerical solution (RungeKutta methods and numerical stability) of functional differential equations; Qualitative numerical methods for solving differential equations with conservation laws. http://www.damtp.cam.ac.uk/user/na/people/Yunkang/

Yunkang Liu DAMTP, University of Cambridge, Silver Street, Cambridge CB3 9EW, U.K Tel: +44 1223 337892 (DAMTP), 335427 (Caius College), 502370 (Home) Fax: +44 1223 337918 Email: yl@amtp.cam.ac.uk I am a research fellow of Gonville and Caius College (established in 1348, it is the 4th oldest college in Cambridge). I did my Ph.D at Fitzwilliam College (started in 1869 as Fitzwilliam House, it is a very young college by Cambridge standard). My Ph.D supervisor was Arieh Iserles I am mainly interested in analytic solution (stability and asymptotics) and numerical solution (RungeKutta methods and numerical stability) of functional differential equations. I also work on qualitative numerical methods for solving differential equations with conservation laws, in particular, equations of Lie-type. A list of my recent publications is here . Some technique reports of mine can be found on the home page of the Numerical Analysis Group , Cambridge University. I play GO and I use the IGS go serve.

137. Project Links | Differential Equations Index Keywords differential equations, heat transfer, diffusion, 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).

138. Math Applications, Resources, Tutorials And More - Maple Application Center - Ma Maple lessons for an undergraduate course in differential equations by Jim Herod. http://www.mapleapps.com/powertools/pdes/pdes.shtml

Maple MapleNet Maple T.A. Toolboxes ... Contact Maple Application Center Research PowerTools Education PowerTools Browse Applications Advanced Search ... Submit Your Work Other Resources Maple 10 Online Training Maplesoft Books Maple Reporter More Information Contact Maplesoft Home Maple Application Center Browse by Category: Engineering Science Finance Operations Research ... Research PowerTools Application Search conduct an advanced search Keyword or phrase: Application type: Any Type Maple Worksheet Maplet Maple Animation Maple Graphic Maple Tutorial Maple Package Maple TA Question Bank Maple TA Course Module Maple TA Tutorial MapleNet Application MapleNet Tutorial Education PowerTool Research PowerTool Book White Paper Color Plate Products Industry Academic Support ... Login Language: English Deutsch Privacy Trademarks

139. STOCHASTIC INTEGRATION AND STOCHASTIC DIFFERENTIAL EQUATIONS Stochastic Integration And Stochastic differential equations A dvi file of 360 Stochastic differential equations (.ps file for doublesided printing http://www.ma.utexas.edu/users/kbi/SDE/C_1.html

STOCHASTIC INTEGRATION AND STOCHASTIC DIFFERENTIAL EQUATIONS This book was published in April 2002 by Cambridge University Press under the title "Stochastic Integration with Jumps" in the series Encyclopedia of Mathematics and its Applications. The answers to problems, expanded indexes, and the Errata can be found at this web address Stochastic Integration And Stochastic Differential Equations A dvi file of 360 pages with two appendices an additional 160 pages long. .ps file .pdf file .ps file for doublesided printing .pdf file for doublesided printing) It has been chopped into chapters for convenience's sake: Introduction (.ps file for doublesided printing .pdf file for doublesided printing) Motivation: Stochastic Differential Equations (p 1), Wiener Process (p 9), The General Model (p 20). Integrators and Martingales (.ps file for doublesided printing .pdf file for doublesided printing) The Elementary Stochastic Integral (p 46), The Semivariations (p 53), Path Regularity of Integrators (p 58), The Maximal Inequality (p 63). Processes of Finite Variation (p 67), The Change-of-Variable Formula (p 70), Martingales (p 71), Martingales Are Integrators (p 78).

140. MadMax Optics - FMM Toolbox™ For MATLAB© Provides robust, fast, and highorder accurate solvers for a core set of partial differential equations - including the Laplace, Poisson and modified Helmholtz equations. free These arise throughout classical and modern physics, in areas such as electrostatics, magnetostatics, incompressible flow, astrophsyics, and computational chemistry. http://www.madmaxoptics.com/technology/products/FMMToolbox.asp

2D Toolbox Version 2.0 is under development. Faster Software for Computational Physics THE FAST MULTIPOLE METHOD (FMM) A new generation of software for partial differential equations. The amount of work scales linearly with the number of unknowns and the user can control the desired precision. PRODUCT DESCRIPTION Named one of the "Top Ten Algorithms of the Century" by Computing in Science and Engineering Magazine! (Jan/Feb 2000) Our solvers are flexible, easy to use, and easy to integrate into your software. All we need is the data defining the problem - you get the solution at any set of locations you choose. No grid generation is required, saving you both time and effort. PARTICLE INTERACTIONS FMMCOUL FMMDEBYE Computes electrostatic fields at any set of target locations due to a charge and dipole distribution you provide. Obtains results in O(N) time for N sources and targets.

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