Interactive Math Programs These programs are designed to be used with Multivariable Mathematics by RE Williamson and HF Trotter, and Introduction to differential equations by Richard E. http://www.dartmouth.edu/~rewn/javaindex.html
Extractions: 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.
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/
Mickey's Differential Equations Page Mickey s differential equations Materials. Spring 1999 Selected Homework Solutions Spring 1999 Test 1 Solutions. Spring 1999 Test 2 Solutions. http://galois.oxy.edu/mickey/de.html
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/
Extractions: 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.
MAPLE For Stochastic Differential Equations MAPLE for Stochastic differential equations. Book. 2) S. Cyganowski, Solving Stochastic differential equations with MAPLE, Maple Tech. http://www.math.uni-frankfurt.de/~numerik/kloeden/maplesde/
Extractions: Readme ... Order Book The purpose of this book is to provide a traditional treatment of elementary ordinary differential equations while introducing the computer-assisted methods that are now available with Mathematica Mathematica over other systems of computer algebra because of its combination of easy access and computational power, as evidenced through symbolic, numerical, and graphical output. In order to make this work totally self-contained, we have developed the fundamentals of differential equations from the very beginning. This includes the solution methods for the traditional classes of solvable equations (first-order linear, second-order constant-coefficients, linear systems, Laplace transforms, power series solutions and so forth) as well as a presentation of the basic theory of existence/uniqueness and the traditional numerical methods for first-order equations. In the process some new mathematical points have been developed, to be noted below. It is our firm belief that a solid mastery of the subject of differential equations can only be achieved through a strong traditional course. This is enhanced by the graphical capabilities of Mathematica , which have allowed the incorporation of many more graphs than are normally available in books at this level.
Sturm A biography of the Mathematican who worked on differential equations and created the form now call SturmLiouville equations. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Sturm.html
Extractions: Sturm came from a Protestant family and, in order to learn German, he attended the local Lutheran church where sermons were preached in that language. When Sturm was sixteen years old his father died and he changed tack in his academic studies, leaving the humanities and taking up the study of mathematics. He was taught mathematics at Geneva Academy by Simon Lhuilier in 1821 and immediately Lhuilier recognised the mathematical genius in Sturm. However, Lhuilier was over seventy years of age and close to retiring at this time so it was his successor Jean-Jacques Schaub who inspired Sturm. Schaub did more than teach Sturm mathematics for he supported him financially at the Academy. Sturm's family had been left in considerable financial difficulties on the death of his father so the financial assistance allowed Sturm to continue with his education. Gergonne 's In Paris he was introduced into the scientific circles by the family. Sturm wrote to his friend Colladon (see [1]):-
Math 242 (Section 3), Spring 1998 Elementary differential equations Math 242 Section 3, Spring 1998. Modeling via differential equations, 1.1, BDH11.mws, BDH1-1.mws, BDH1-1.html. http://www.math.sc.edu/~meade/math242-S98/
Extractions: Introduction to Maple none day1.mws day1.mws day1.html Solutions to Calculus Review Problems none calc_rev.mws calc_rev.mws calc_rev.html Modeling via Differential Equations BDH1-1.mws BDH1-1.mws BDH1-1.html Slope Fields BDH1-3.mws BDH1-3.mws BDH1-3.html General ODE Tools for Chapter 1 Chapter 1 template.mws
Math 242 (Section 501 -- HONORS), Spring 2000 Elementary differential equations Math 242 Section 501 (HONORS), Spring 2000. Template for differential equations, Chapter 1, templateDE.mws, template-DE.html. http://www.math.sc.edu/~meade/math242/
Extractions: Template for Differential Equations Chapter 1 template-DE.mws template-DE.html Template for Systems Chapter 2 template-SYS.mws template-SYS.html Template for Laplace Transforms Chapter 6 template-LT.mws template-LT.html Introduction to Maple none day1.mws day1.html Modeling via Differential Equations BDH1-1.mws BDH1-1.html Slope Fields BDH1-3.mws BDH1-3.html Euler's Method pr1-4-4.mws pr1-4-4.html Homework #2 homework2.mws homework2.html Bifurcations BDH1-7.mws BDH1-7.html Homework #3 homework3.mws homework3.html Exam 1 Problem 1 exam1.mws exam1.html Predator-Prey Models BDH2-1.mws BDH2-1.html Geometry of Systems BDH2-2.mws BDH2-2.html Homework #4 homework4.mws homework4.html Analytic Solutions of Special Systems BDH2-3.mws
Mathematical Methods Of Engineering Analysis Book by Erhan inlar and Robert J. Vanderbei in PDF. Topics covered functions on metric spaces, differential and integral equations, convex analysis, and measure and integration. http://www.sor.princeton.edu/~rvdb/506book/book.pdf
Calculus Resources Covers limits, derivatives, integration, infinite series and parametric equations. Includes resource links for multivariable calculus, differential equations and math analysis. http://www.langara.bc.ca/mathstats/resource/onWeb/calculus/
Extractions: Langara College - Department of Mathematics and Statistics Internet Resources for the Calculus Student If you have come across any good web-based calculus support materials that are not in the above listed collections, please do let us know and we may add them here. Give Feedback Return to Langara College Homepage
Eduscape Company that develops computer software for algebra, calculus, and differential equations. http://www.eduscape2000.com/
Extractions: Our objective at Eduscape is to provide first-class distance learning opportunities for students by developing the best learning software for business and education. Our distance education courseware begins with careful planning and a focused understanding of course requirements and student needs. Human advisors, PHDs in the field of Education and experts in Distance Learning, create a lesson plan based on these requirements. Next, the appropriate technology is selected to deliver the training. Hard work and dedicated efforts by our programming staff create a rich interactive, multi-media learning program that meets the lesson plans and student requirements. Educators and students use and provide continual feedback on our learning programs. You can sample the quality of our work by selecting the Public Demo link at the top of this page. Eduscape's Learning Tools:
Malaspina University-College International Conference on differential equations and Applications in Mathematical Biology. July 1823, 2004 · Nanaimo, British Columbia, Canada. http://web.mala.bc.ca/math/conference/
Extractions: Important Note: Each submitted abstract must be prepared in accordance with AMS-Latex (see http://www.ams.org/tex/ Registration Fees Registration fees (for the participants only) will include the following: welcome folder/portfolio, welcome reception (on Sunday, July 18), mini tour to the Pacific Biological Station (Monday July 19), mega tour on Wednesday July 21, every day lunch meals and refreshments, banquet (Thursday July 22), and transportation. Registration fees will be as follows: Official rate is set in Canadian dollars Approximate conversion
Texas A&M Numerical Methods For PDE Group Numerical Methods for PDE Group. Primarily concerned with the efficient numerical approximation of solutions of partial differential equations. http://www.math.tamu.edu/research/numerical_analysis/
Extractions: Home People Seminar Projects ... Former Visitors and Students The numerical methods group is primarily concerned with the efficient numerical approximation of solutions of partial differential equations. The techniques and expertise include the development and analysis of iterative methods, stability and error analysis for finite element, finite difference and finite volume approximations, and large scale scientific computation with industrial application. The group consists of eight permanent faculties, graduate students and numerous visitors. As well as doing research into theoretical numerical analysis, the group works closely with the Institute for Scientific Computation in the development of large scale scientific simulations for serial and parallel computing architectures. The graduate program in numerical analysis includes courses in basic numerical analysis and analysis of iterative methods. More advanced courses concerning the theory of finite elements, domain decomposition, multigrid, and mixed finite elements are also offered on a regular basis. Numerical Analysis Qualifying Examination Texas Finite Element Rodeo Home People ... Former Visitors and Students Last revised Sept. 29, 2003.
Daniel A. Steck: Computer Fortran 90 codes to integrate Ito stochastic differential equations, generate random numbers, compute the FFT, and time programs. http://george.ph.utexas.edu/~dsteck/computer.html
Extractions: Computer Here is an integrator for Ito stochastic differential equations, which implements several higher-order methods (with strong convergence) with fixed time steps. A sample driver program is included. Written in Fortran 90, updated 3/11/04. ( .tgz archive or browse source A portable random-number generator, which generates very high-quality random numbers that will be exactly the same on any machine that supports 32-bit integer arithmetic. Three modern algorithms are included and can be combined to give sequences with even longer periods. Written in Fortran 90, updated 9/18/03. ( .tgz archive or browse source A collection of FFT routines for parallel computation of 2D and 3D FFTs. Written in F90-style HPF, updated 7/18/03. ( .tgz archive or browse source A collection (module) of timing routines for Fortran programs, including facilities for printing the current execution time, triggering a checkpoint after some amount of time, and generating a Unix-style date/time stamp from within Fortran, including the day of the week (as well as a facility to calculate the day of the week from a date). Written in Fortran 90. ( .tgz archive or browse source A system to automatically disable AirPort before sleep under OS X, to deal with stupid LANL security rules.
Graphmatica By KSoft Is an equation plotter with numerical, and calculus features. It can graph Cartesian functions, relations and inequalities, plus polar, parametric, and ordinary differential equations. Win95/98/Me/NT/2000 http://www8.pair.com/ksoft/index.html
GetDP: A General Environment For The Treatment Of Discrete Problems A scientific software environment for the numerical solution of integrodifferential equations, open to the coupling of physical problems (electromagnetic, acoustic, thermal, mechanical, ) as well as of numerical methods (finite element methods, boundary element and integral methods, ). http://www.geuz.org/getdp/
Extractions: GetDP: a General Environment for the Treatment of Discrete Problems Patrick Dular and Christophe Geuzaine Version , 24 April 2004 Description Documentation Mailing lists Download ... Links GetDP is a general finite element solver using mixed elements to discretize de Rham-type complexes in one, two and three dimensions. The main feature of GetDP is the closeness between the input data defining discrete problems (written by the user in ASCII data files) and the symbolic mathematical expressions of these problems. See GetDP's reference manual for a more thorough overview of GetDP's capabilities We need your help to build a library of examples all GetDP resources documentation mailing lists archives getdp is the public mailing list for GetDP users. You should send all questions, bug reports, requests or pleas for changes related to GetDP to this list. The list is archived here getdp-announce is a moderated (i.e. "read-only") list for announcements about significant GetDP events. You should subscribe to this list to get information about software releases, important bug fixes and other GetDP-specific news. The list is archived
