121. 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

122. 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

123. Interactive Differential Equations http://www.aw-bc.com/ide/

124. Arieh Iserles University of Cambridge. Research interests in numerical ordinary differential equations; also functional equations, approximation theory, special functions, numerical partial differential equations, nonlinear algebraic equations and nonlinear dynamical systems. http://www.damtp.cam.ac.uk/user/na/people/Arieh/

125. Electronic Journal Of Differential Equations Full text available in DVI, PDF, PS and TeX formats. Searchable index. http://ejde.math.swt.edu/

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126. DDE-BIFTOOL A MATLAB package for bifurcation analysis of delay differential equations. http://www.cs.kuleuven.ac.be/~koen/delay/ddebiftool.shtml

DDE-BIFTOOL: a Matlab package for bifurcation analysis of delay differential equations Koen Engelborghs Tatyana Luzyanina, Giovanni Samaey K.U.Leuven, Department of Computer Science Celestijnenlaan 200A B-3001 Leuven Belgium Functionality: DDE-BIFTOOL is a Matlab package for numerical bifurcation analysis of delay differential equations with several fixed discrete and/or state-dependent delays. It allows the computation, continuation and stability analysis of steady state solutions, their Hopf and fold bifurcations, periodic solutions and connecting orbits (but the latter only for the constant delay case). Stability analysis of steady state solutions is achieved through computing approximations and corrections to the rightmost characteristic roots. Periodic solutions, their Floquet multipliers and connecting orbits are computed using piecewise polynomial collocation on adapted meshes. Text material: DDE-BIFTOOL was started as a part of the PhD of its first author under supervision of Prof. Dirk Roose. The package and it's use are described in the manual . A preprint [2] includes additional examples and comments. A brief description of the numerical methods used and additional references are included in [ Current version: DDE-BIFTOOL v. 2.02 is now available!! Find

127. Volterra A short biography on Volterra and his work in differential equations and mathematical physics. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Volterra.html

Vito Volterra Born: 3 May 1860 in Ancona, Papal States (now Italy) Died: 11 Oct 1940 in Rome, Italy Click the picture above to see six larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Vito Volterra 's interest in mathematics started at the age of 11 when he began to study Legendre 's Geometry. At the age of 13 he began to study the Three Body Problem and made some progress by partitioning the time into small intervals over which he could consider the force constant. His family were extremely poor (his father had died when Vito was two years old) but after attending lectures at Florence he was able to proceed to Pisa in 1878. At Pisa he studied under Betti , graduating Doctor of Physics in 1882. His thesis on hydrodynamics included some results of Stokes , discovered later but independently by Volterra. He became Professor of Mechanics at Pisa in 1883 and, after Betti 's death, he occupied the Chair of Mathematical Physics. After being appointed to the Chair of Mechanics at Turin he was appointed to the Chair of Mathematical Physics at Rome in 1900. Volterra conceived the idea of a theory of functions which depend on a continuous set of values of another function in 1883.

128. 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/

129. SpringerLink - Publication More results from www.springerlink.com Calculus@Internet Web Page Links 1 through 25. Modeling Population Growth - differential equations allow us to mathematically model quantities that change continuously in time. http://www.springerlink.com/openurl.asp?genre=journal&issn=0944-2669

130. Linear Methods Textbook suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations by Evans M. Harrell II and James V. Herod. HTML, RTF and PDF with Maple and Mathematica worksheets. http://www.mathphysics.com/pde/

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131. The 1992 University Lecture In Religion By Jonathan Z. Smith differential equations ON CONSTRUCTING THE OTHER . Jonathan Z. Smith. differential equations ON CONSTRUCTING THE OTHER . Jonathan Z. Smith. http://www.asu.edu/clas/religious_studies/home/1992lec.html

The University Lecture in Religion 1992 Department of Religious Studies Arizona State University DIFFERENTIAL EQUATIONS: ON CONSTRUCTING THE 'OTHER' Jonathan Z. Smith University of Chicago Thirteenth Annual University Lecture in Religion Arizona State University March 5, 1992 THE LECTURER Jonathan Z. Smith is the Robert O. Anderson Distinguished Service Professor of the Humanities at the University of Chicago where he has taught since 1968. He is the author of numerous articles and two books of essays, Map Is Not Territory: Studies in the History of Religions and Imagining Religion: From Babylon to Jonestown , as well as two recent monographs titled To Take Place: Towards Theory in Ritual and Drudgery Divine: On the Comparison of Early Christianities and the Religions of Late Antiquity THE LECTURE SERIES The University Lecture in Religion at Arizona Sate University was established in 1979-80 when the department was founded in the College of Liberal Arts and Sciences. Professor Smith delivered the thirteenth lecture in this series; previous lecturers in this series included Professors Jacob Neusner, Giles Gunn, Elaine Pagels, Albert J. Raboteau, Ninian Smart, Martin Marty, Wendy Doniger, Robert H. Bellah, Josef van Ess, Charles L. Long, James F. Gustafson and Lawrence Sullivan. DIFFERENTIAL EQUATIONS: ON CONSTRUCTING THE 'OTHER' Jonathan Z. Smith

132. Calculus Tutorial - Harvey Mudd College Mathematics Department Tutorials covering precalculus, calculus, multivariable calculus, linear algebra and differential equations. http://www.math.hmc.edu/calculus/

Visit the HMC Math Department! Visit the HMC Math Department!

133. ScienceDirect - Journal Of Differential Equations - List Of Issues ODE ChapterOrdinary differential equations. Copyright (C) 1991, 1992, 1993, 1994, 1995 by the Computational Science Education Project. This electronic http://www.sciencedirect.com/science/journal/00220396

This Feature requires JavaScript Register or Login: Password: Athens Login Journal of Differential Equations Bookmark this page as: http://www.sciencedirect.com/science/journal/00220396 Articles in Press Volume 201 Volume 201, Issue 2 , Pages 201-383 (1 July 2004) Volume 201, Issue 1 , Pages 1-200 (20 June 2004) Volume 200 Volume 199 Volume 198 Volume 197 ... Volume 101 Alert me when new Journal Issues are available Add this journal to My Favorite Journals Sample Issue Online More Publication Info Information for Authors Feedback ... Elsevier B.V.

134. NetSkool - Statistics Help, Mathematics Help, Finance Homework Help, Accounting Offers assistance with calculus, algebra, trigonometry, differential equations. computer science, statistics, and probability. Includes sample question and answer. http://www.netskool.com/

Home About Netskool Samples and Testimonials Take a Tour Help Center World's Premier Anonymous Homework Help Service . Since 2001, NetSkool has been offering online tutoring to students by giving them access to carefully screened Experts educated at top universities such as Harvard, Stanford, MIT, UC Berkeley, Yale, Princeton, Columbia, Cornell, and Penn. NetSkool's Experts provide comprehensive explanations and clarifications on the problems you are stuck with. Post Questions. Set your Deadline. Interact with your personal Tutor online. online form or fax your order toll-free to For fax orders, you still need to fill the online form. We will then scan your fax and attach it to your question ID. Mention your ID on top of the fax. We do not offer any custom quotes. Step 2: We will look over the problem set and determine if we can help you. If an tutor is willing to assist you, payment instructions will be included in the e-mail. We accept major credit cards through PayPal, a secure way to transfer money online. Step 3: After you make the payment, you can having tutoring sessions with the Tutor within the deadline set by you. You

135. DVERK Fortran 77 subroutine written by Hull, Enright and Jackson for the numerical solution of systems of initial value problems for ordinary differential equations. http://www.cs.toronto.edu/NA/dverk.f.gz

‹‹7ë(dverk.fÅ=[wÛ6ÒÏò¯Àۊ.E‹¤¨ËCh‰²XS¤–”,kßü5Þ¶ç´IO’Ýîþûo.ð"ÉIzÖ§ulÌ s-~U‡û²8ìÓ ®’•À Lϓòo Z§ëýFÄùJTé3üT”+`î.NKQ¬Åº(·‡,®ðš¯ÒüAÄ»]Y <‘îE¼Ç­ÛI²# ²â^ *K@PÝ%΂a$¢b”q¾¶T;•uŠ¬¹l„8TIé 1Ä_ "Ý#ÎÉÄ©"nâ G` ÒÈ+šû²€Å6ñ7Àè! àã1É2ü§Y¤+²i+ð) ø Tø’zí~ <äÄY‘ <¹ç¨/¿öÆ¢§vô=v'ß¿µQÔÑæN/*I°

136. Visual Differential Equation Solver Applet This java applet displays solutions to some common differential equations. Zip archive of this applet. Another differential equation applet. java@falstad.com. http://www.falstad.com/diffeq/

Sorry, you need a Java-enabled browser to see the simulation. This java applet displays solutions to some common differential equations. At the top of the applet you will see a graph showing a differential equation (the equation governing a harmonic oscillator) and its solution. Also you will see a red crosshair on the graph on the left side. This is the initial point; you set the location of this point by clicking the mouse. You can change the equation by selecting a different left hand side or right hand side using the popup menus. Underneath the popup menus are a variety of parameters which you can change by clicking on them and dragging to the left or right. Also you can click on the sign to flip it from plus to minus or minus to plus. Double-clicking on the sign will set the value to zero. Full Directions. The source. More applets. Zip archive of this applet. ... Another differential equation applet. java@ falstad.com

137. PDE2D Program by Granville Sewell to solve quite general nonlinear, timedependent, steady-state and eigenvalue systems of partial differential equations, in 1D intervals, general 2D regions and 3D boxes . Available for both Unix and Windows platforms. A textbook on PDEs, with Fortran code that is sent upon purchase, is described at http//members.aol.com/pde2d/book.htm . http://members.aol.com/pde2d/

138. [math-ph/0309001] Linear Determining Equations, Differential Constraints And Inv From Alexey Schmidt totalex@km.ru Date Sun, 31 Aug 2003 182907 GMT (17kb) Linear determining equations, differential constraints and invariant solutions. http://arxiv.org/abs/math-ph/0309001

Mathematical Physics, abstract math-ph/0309001 From: Alexey Schmidt [ view email ] Date: Sun, 31 Aug 2003 18:29:07 GMT (17kb) Linear determining equations, differential constraints and invariant solutions Authors: O.V. Kaptsov A.V. Schmidt Comments: 30 pages, TeX Subj-class: Mathematical Physics MSC-class: A construction of differential constraints compatible with partial differential equations is considered. Certain linear determining equations with parameters are used to find such differential constraints. They generalize the classical determining equations used in the search for admissible Lie operators. As applications of this approach non-linear heat equations and Gibbons-Tsarev's equation are discussed. We introduce the notion of an invariant solution under an involutive distribution and give sufficient conditions for existence of such a solution. Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Which authors of this paper are endorsers? Links to: arXiv math-ph find abs

139. Research Group: Computational Fluid Dynamics, Mathematical Modeling & Numerical The focus of this group is to find numerical solutions of differential equations coming from several areas of applications, as for example. Participants are from various universities in the US and Europe. http://www.ime.usp.br/~roma/research/workgroup.htm

Computational Fluid Dynamics, Mathematical Modeling Numerical Methods GOALS The research group has as its main goals: To integrate its participant members through joint research, departing from common interests in Computational Fluid Mechanics, Mathematical Modeling and Numerical Methods. To cooperate in the teaching load of graduate courses, supervision of dissertations and thesis, allowing for a solid background development for the undergraduate and graduate students. To estimulate the exchange of ideas with other research groups and institutions, from inside and outside of the University of Sao Paulo, and to collaborate for the diffusion of the scientific knowledge, to cooperate for the projects and other specialized services. PARTICIPANT MEMBERS Currently, this research group has six researchers, about one third of the Applied Mathematics Department Prof.Dr. Saulo Maciel Rabello de Barros (MS-5) Dr. Rer. Nat., Prof.Dr. Alexandre Megiorin Roma (MS-3) Ph.D., New York University Courant Institute of Mathematical Sciences Prof.Dr. Antonio Elias Fabris (MS-3) Ph.D.

140. PSIDE Home Page Code for solving implicit differential equations on shared memory parallel computers, by Jacques J.B. de Swart, Walter M. Lioen, and Wolter A. van der Veen. http://www.cwi.nl/archive/projects/PSIDE/

Purpose PSIDE - Parallel Software for Implicit Differential Equations - is a Fortran 77 code for solving implicit differential equations on shared memory parallel computers. Authors Jacques J.B. de Swart Walter M. Lioen , and Wolter A. van der Veen CWI , P.O. Box 94079, 1090 GB Amsterdam, The Netherlands Obtaining PSIDE The current version of PSIDE is 1.3 (November 25, 1998). PSIDE consists of the following files user.ps.gz or user.pdf PSIDE Users' Guide (gzipped PostScript and PDF version, respectively) pside.f The Fortran 77 source of PSIDE cacm423.f For PSIDE's linear algebra we chose to use LAPACK. However, if you do *not* have available on your system both a machine tuned LAPACK, and a machine optimized BLAS we suggest you use these replacement routines instead of the portable LAPACK implementation. Of course the latter will work, however, it may give much worse performance. vdpol.f an example driver for the Van der Pol problem, an ODE of dimension 2 (as given in the PSIDE Users' Guide) pendul.f

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