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]):-
Differential Equations Langara College Department of Mathematics and Statistics Internet Resources for differential equations. differential equations. http://www.langara.bc.ca/mathstats/resource/onWeb/diffeqs/
Extractions: Langara College - Department of Mathematics and Statistics Here we'll content ourselves with just referring to some big collections and leave it to you to search for specific topics See Web Study Guide for Ordinary Differential Equations from Oregon State University. This site also contains a clickable Roadmap for Solving First-Order ODE Also see Differential Equations , from The Interactive Textbook of PFP 96 , "an inter-
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:
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.
Malaspina University-College International Conference on differential equations and Applications in Mathematical Biology. July 1823, 2004 ยท 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
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
Dominic Donnelly University of Oxford. Numerical solution of partial differential equations (particularly problems involving free boundaries); twophase flow problems. http://web.comlab.ox.ac.uk/oucl/people/dominic.donnelly.html
A Matlab Differentiation Matrix Suite Functions for solving differential equations by the spectral collocation (a.k.a. pseudospectral) method. http://dip.sun.ac.za/~weideman/research/differ.html
Extractions: Important: If you got redirected here from my previous homepage at Oregon State University, please update your bookmarks accordingly, as that page will be terminated in the next few months. JACW This is a MATLAB software suite, created by JAC Weideman and SC Reddy, consisting of seventeen functions for solving differential equations by the spectral collocation (a.k.a. pseudospectral) method. It includes functions for computing differentiation matrices of arbitrary order corresponding to Chebyshev, Hermite, Laguerre, Fourier, and sinc interpolants. It also includes FFT-based routines for Fourier, Chebyshev and sinc differentiation. Auxiliary functions are included for incorporating boundary conditions, performing interpolation using barycentric formulas, and computing roots of orthogonal polynomials. In the accompanying paper it is demonstrated how to use the package for solving eigenvalue, boundary value, and initial value problems arising in the fields of special functions, quantum mechanics, nonlinear waves, and hydrodynamic stability. The paper has been published in ACM TOMS, Vol. 26, pp. 465519 (2000). (
Liouville The mathematician who developed SturmLiouville differential equations. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Liouville.html
Extractions: Joseph Liouville Gergonne 's Journal he proved some geometrical results which he wrote up as papers although they were never published. 's in session 1825-26. He also attended courses by Arago Cauchy 's courses, it is clear that Cauchy must have had a strong influence on him. Liouville graduated in 1827 with de Prony and Poisson among his examiners. partial differential equations and the theory of heat. In 1831 Liouville was appointed to his first academic post, as assistant to Claude Mathieu In 1836 Liouville founded a mathematics journal . This journal, sometimes known as Journal de Liouville , did much for mathematics in France throughout the 19 th century. Liouville had already gained an international reputation with papers published in Crelle 's Journal but at the same time the quality of Crelle 's Journal made him aware of deficiencies in the avenues for mathematical publications which there were in France. Certainly he was unhappy with the style of the Paris Journals for he wrote in 1836:-
Jim Herod's Home Page School of Mathematics at the Georgia Institute of Technology. Page includes author's notes of multivariable calculus, differential equations, and mathematics of biology. various applications and linear algebra (pdf format). Also, has family lineage. http://www.math.gatech.edu/~herod/
Extractions: Jim Herod's Home Page James V. Herod, Professor Emeritus School of Mathematics Georgia Institute of Technology Atlanta GA USmail: P O Box 1038 Grove Hill AL email: jherod@tds.net Phone: (251) 275 2244 First note that I have retired . I no longer maintain an office at Georgia Tech. Look at my address above! I do answer email. This is the best way to contact me when I am at home. When I travel, my email is different. What follows is a collection of things that please me. I list them in no particular order, give a brief description of what they are about, and provide a contact point to access more details. 1. No More Same Old Calculus: Before I retired, Professor George Cain and I made a common observation : most students entering Georgia Tech have already had the calculus. Because they think they already know the calculus, they often fail to note that the college course expects a deeper understanding of the concepts. Or, the students are bored because their high school calculus was such a good course. Cain and I wanted to make the materials fresh and exciting. Our decision was to present the notions of calculus in a multidimensional setting at the outset. This would take more time than typical in a second year calculus course because we would constantly go back to re-look at the one dimensional setting from this multidimensional perspective. Where could we find a text? Can you guess 2. Asynchronous Studies in Undergraduate Partial Differential Equations:
Numerics - Interactive In this PDF book by Thomas Risse, basic numerical algorithms are presented and implemented in order to determine the precision of computation, to solve systems of linear equations, to evaluate elementary functions, to find zeros, to integrate and to solve ordinary differential equations numerically. The performance of different algorithms can be compared. http://www.weblearn.hs-bremen.de/risse/MAI/docs/numerics.pdf
Laurent Berger's Webpage Havard University. Padic representations and differential equations. Personal information, papers, lectures, and pictures. http://abel.math.harvard.edu/~laurent/
Differential Equations In Banach Algebras Fuchsian Singularities of Linear Ordinary differential equations in Banach Algebras. By Gerald Albrecht in Wuppertal. http://members.aol.com/AlbrechtG4/math3.htm
Mike Giles University of Oxford. Development and analysis of numerical methods for partial differential equations, particularly in computational fluid dynamics; parallel and distributed computing. http://web.comlab.ox.ac.uk/oucl/people/mike.giles.html
New Calculus With Maple V Homepage Address The online texts listed serve as supplements for studying Calculus and differential equations. http://www2.ncsu.edu/eos/info/maple_info/www/
Professor Weinan E Professor of Applied Mathematics, Mathematical Physics, Princeton University. MultiScale Problems, Complex Energy Landscapes and Rare Events,Stochastic differential equations. http://www.math.princeton.edu/~weinan/
Extractions: weinan@princeton.edu Develop systematic mathematical framework and computational methodologies for stochastic and multiscale modeling in science and engineering. The particular areas of application we are interested in include: This set of courses is designed for graduate students in applied mathematics whose primary interest is in the modeling and analysis of scientific problems. This is a joint project with David Cai and Eric Vanden-Eijnden of the Courant Institute. There are a total of five courses:
