 3DXplorMath  Richard Palais
3DXplorMath creates visualizations of mathematical objects and processes. This tool has builtin algorithms for displaying mathematical objects such as plane curves, space curves, surfaces, conformal maps, polyhedra, ordinary and partial differential
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 Abstract and Applied Analysis (AAA)  Athanassios G. Kartsatos, Ed.
A mathematical journal devoted to the publication of papers in the fields of Abstract and Applied Analysis, with emphasis on developments in Linear and Nonlinear Functional Analysis, Ordinary and Partial Differential Equations, Optimization Theory and
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 alt.math.undergrad  Math Forum
An unmoderated discussion forum for issues and problems pertaining to college undergraduate mathematics. Read and search archived messages; and register to post to the discussions.
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 AP Analysis of PDEs (Front for the Mathematics ArXiv)  Univ. of California, Davis
Partial Differential Equation preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.
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 Arizona Mathematical Software
A collection of approximately 60 educational programs that are designed for use by instructors and students in classroom, laboratory, and home environments. Software falls into four categories: Are You Ready?; Slide Shows; Teacher Aids; Toolkits. It runs
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 arXiv.org ePrint archive  Los Alamos National Laboratory (LANL)
A major site for mathematics preprints that has incorporated many formerly independent specialist archives including alggeom, functan, dgga, qalg, autofms, cdhg, MAGNUS, Several Complex Variables, Logic Eprints, Commutative Algebra, Dynamical Systems,
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 Center for Computational Mathematics and Applications (CCMA)  Mathematics Dept., Penn State University
A focal point for research and educational activities in numerical analysis and applied mathematics at Penn State. Applied and Computational Math Seminar Series; PDEs and Numerical Methods Seminar Series; faculty, grad students; visitors and postdocs;
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 Center for Dynamical Systems and Nonlinear Studies  School of Mathematics, Georgia Tech
Established in September 1988 to strengthen existing research activities in the School of Mathematics with special focus on dynamical systems, differential equations, nonlinear analysis, and applications. Specific topics emphasized are stability, nonlinear
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 Chalmers Finite Element Center  Chalmers University of Technology, Göteborg, Sweden
An interdisciplinary unit at Chalmers University of Technology in the field of computational mathematical modeling and scientificindustrial computing. It is formed by groups in the Departments of Electromagnetics, Mathematics, Solid Mechanics, and Structural
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 Computational Physics  Angus MacKinnon; Imperial College, London
Lectures on numerical solutions and applications to physics. Includes sections on ordinary differential equations (Types of Differential Equation; Euler Method; LeapFrog Method; RungeKutta Method; PredictorCorrector Method; Intrinsic Method) and partial
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 Computational Science Education Project (CSEP)  U.S. Department of Energy
An electronic book for teaching Computational Science and Engineering to students at the advanced undergraduate level and higher. Tutorials for freely available networking and visualization software are also included for high school students and people
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 Diffpack  Numerical Objects Online
Diffpack is a collection of C++ modules containing a wide selection of interchangeable and applicationindependent components, useful as a set of linkable libraries integrated with existing applications or as a development framework including a fully
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 DPGraph (Dynamic Photorealistic Graphing)  David Parker
Software that allows you to: display multiple simultaneous dynamic photorealistic 3D implicit equalities and inequalities, and intersections of their volumes; spin, slice, and view timedependent (moving) photorealistic surfaces in real time; and construct
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 The Dynamical Systems and Technology Project at Boston University  Robert L. Devaney; Dept. of Mathematics
An NSFsponsored project designed to help secondary school and college teachers of mathematics bring contemporary topics in mathematics (chaos, fractals, dynamics) into the classroom, and to show them how to use technology effectively in this process.
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 Electronic Journals in Mathematics  Dept. of Mathematics, Univ. at Albany
Links to electronic journals for mathematics, and those publishing both electronically and on paper. Examples: The Electronic Journal of Combinatorics; The Electronic Journal of Differential Equations; Electronic Journal of Probability and Electronic
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 Energy for Markov Chains [PDF]  Peter G. Doyle
A "very preliminary" paper touching on the Dirichlet principle, Escape probabilities and commuting time, The Monotonicity Law, and a Probabilistic interpretation of energy. PostScript and source file are available from Doyle's site.
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 Exactly How Is Math Used In Technology?  Mathematics Dept., British Columbia Institute of Technology
A table of examples of how various areas of mathematics are applied to various areas of technology. Areas of technology include biomedical engineering, food technology, building technology, chemical sciences, civil and structural engineering, graphics
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 FeynmanKac Formulae: Genealogical and Interacting Particle Systems with Applications  Pierre Del Moral
Description of a published book on FeynmanKac path measures and their genealogical and interacting particle interpretations, with a range of applications including statistical physics, biology, and advanced engineering sciences. The site features PostScript
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 The Finite Element Circus  Richard S. Falk, Rutgers University
A regular conference devoted to the theory and applications of the finite element method, and related areas of numerical analysis and partial differential equations. Dates and locations, talks and poems, and a mailing list.
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 Front for the Mathematics ArXiv  Univ. of California, Davis
U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives including alggeom, functan, dgga, qalg, autofms, cdhg, MAGNUS, Several Complex
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 Geometry of Harmonic Maps  Y. L. Lin, Fudan University, Shanghai, China
A book which, though not a complete description of the theory, provides an introduction and an approach useful to researchers and graduate students in differential geometry, geometric analysis, differential equations and theoretical physics. Harmonic
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 Harmonic Maps Bibliography  Burstall, Lemaire, Rawnsley
An ongoing project to provide a searchable, comprehensive, and uptodate bibliography in the area of harmonic maps. The bibliography is in TiB format (a bibliographical preprocessor for TeX, LaTeX etc.) from which BiBTeX, TeX and PostScript versions
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 Hilbert Space Methods for Partial Differential Equations  R. E. Showalter
Chapters from a monograph on partial differential equations, in dvi and pdf formats, to download: Elements of Hilbert Space; Distributions and Sobolev Spaces; Boundary Value Problems; First Order Evolution Equations; Implicit Evolution Equations; Second
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 How Does Biology affect Mathematics?  Louis J. Gross, University of Tennessee
Four examples of fields of mathematics that have been developed in part due to the biological underpinnings: Chaos Theory; Reaction diffusion equations; Genetic algorithms; and Neural Nets. A 1999 Math Awareness Month theme essay, with links to sites
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 HPCNetlib: High Performance Math Software  National HPCC Software Exchange (NHSE)
The high performance branch of the Netlib mathematical software repository. HPCNetlib provides information about high performance mathematical software, both research and commercial, as well as a roadmap to software selection and performance issues.
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 Images and Mathematics (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
A large collection of images based on or related to mathematical principles, many purely mathematical abstractions, such as fractals; others of natural objects whose shape is explained by equations and mathematical models (for example, a drum vibrating).
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 Linear Mathematics in Infinite Dimensions: Signals Boundary Value Problems and Special Functions  Ulrich Gerlach, The Ohio State University
An online text for learning about the nature of waves, signals, and fields, with extensions and applications to several wellknown ideas from finite dimensional linear algebra to infinite dimensions. The book has six major chapter topics: Infinite Dimensional
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 Linear Methods of Applied Mathematics  Evans M. Harrell II and James V. Herod
An online textbook suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. Organized into nineteen chapters: Linearity, The geometry of functions, Fourier series, Calculating Fourier
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 Macsyma  Macsyma, Inc.
Publishers of advanced symbolic/numerical/graphical mathematical software and PDEase finite element analysis software. Macsyma is a combination of mathematics program, graphics software and text processor, with advanced graphics and animation, fast calculations,
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 Maple Application Center  Waterloo Maple, Inc.
Software you can order to explore, share, and publish math on the Internet. Interactive media for exploring and exchanging mathematical ideas, with content on a variety of subjects at the high school, university, and graduate level. (There are high school
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 Mathematical and Computational Sciences  National Institute of Standards and Technology (NIST)
Part of the Information Technology Laboratory of the National Institute of Standards and Technology (NIST) (an agency of the Department of Commerce, U.S. Government), this was formerly CAML. Mathematicians of the Applied and Computational Mathematics
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 Mathematical and Statistical Software  Pittsburgh Supercomputing Center, Carnegie Mellon University
BLOCKSOLVE, EISPACK, FISHPACK, IMSL, NRL3D, ODEPACK, PARPRE, PETSC, PJAC, RANPACK, SCALAPACK. Some packages require industrial or academic users to make special arrangements for usep; information is included in the documentation for the package. Following
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 Mathematics and Computer Science Division (MCS)  Argonne National Laboratory
One of the U.S. Department of Energy's largest energy research centers. Research falls into broad categories: Numerical Methods and Software Development; Systems Software and Parallel Programming Tools; Applied Mathematics and LogicBased Systems; Distributed
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 Mathematics Archives  University of Tennessee, Knoxville (UTK)
A comprehensive site for finding mathematics on the Internet; particularly strong in its collection of educational software and links to other sites of interest to mathematicians that provide access to electronic journals, preprint services, grant information,
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 Mathematics Journals (AMS)  American Mathematical Society
A list of mathematics journals with articles on the Web and a list of Web sites for printed journals, with tables of contents of issues, abstracts of papers, actual papers, information about submissions and subscriptions, etc. See also the Annual Listing
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 Mathematics Journals: Electronic and Printed  Mathematics Dept., Penn State University
Links to dozens of journals, from the Academic press electronic journal library to the Ulam Quarterly, and spanning printed journals from Abstract and Applied Analysis to the Zentralblatt für Mathematik. See also Penn State's page of preprints.
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 MGNet  Craig C. Douglas
A repository for information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods, used primarily by scientists and engineers to solve partial differential equations on serial or parallel computers.
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 Multigrid Algorithm Library  Ulrich Ruede; German Scientific Computing Pages
Multigrid (MG) methods are fast linear iterative solvers based on the multilevel or multiscale paradigm. The typical application for multigrid is in the numerical solution of elliptic partial differential equations in two or more dimensions. MG can be
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 Numerical Recipes in C: The Art of Scientific Computing  Books OnLine  Press, Teukolsky, Vetterling, Flannery; Cambridge University Press
An online book available in Adobe Acrobat or PostScript formats that outlines the method of organizing a program, and then provides the methodology and (copyrighted) source code in the C programming language for: linear algebraic equations, interpolation
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 Numeritek  E. F. Toro
Home of Numerica, a library of source codes for solving hyperbolic partial differential equations using a broad range of modern, highresolution shockcapturing conservative and nonconservative numerical methods. Most of the programs are based on upwind
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 Patterns of physical change  Phil Henshaw
Focuses on the use of tools such as derivative reconstruction (DR) to measure growth and changes in a system. Includes: a short paper "Is the basis of change evolutionary?"; a description of the theory of derivative reconstruction as a method of analyzing
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 PDEase2D  Macsyma Inc.
PDEase solves a range of nonlinear problems in heat transfer, solid mechanics, fluid mechanics, groundwater flow, electromagnetics, chemical reaction diffusion, and quantum mechanics. It simplifies finite element analysis with automatic gridding, automated
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 PEEI: a computer program for the numerical solution of systems of partial differential equations.  Giacomo Lorenzoni
The program PEEI calculates a numerical solution of almost all the systems of partial differential equations who have number of equations equal or greater of the number of unknown functions. Free download. For Windows XP/Vista/Server 2003.
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 Publications  Douglas N. Arnold; Institute for Mathematics and its Applications
Most of Arnold's papers written since the late 1980s are available in PostScript, TeX DVI or plaintext file format. The Ph.D. theses of students he has supervised are also online. Primary research interests center around numerical analysis, with an emphasis
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 Query Interface to the Contents of the Mathematics Archives  University of Tennessee, Knoxville (UTK)
Search software, abstracts and reviews; teaching materials, etc. by keyword.
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 Sean's Home Page  Sean Mauch
"For the past few years I have been working on an open source textbook. It contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations...." This former
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 StudentCreated Calc III Labs  Cervone, Wicklin; The Geometry Center
Five computer calculus labs that explore the application of mathematics to modeling realworld phenomena. Tangent Planes to Surfaces (exploring the tangent planes and gradient vectors of 2 and 3dimensional curves, examining explicit, parametric, and
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 SturmLiouville Problems: SLEIGN2  Bailey, Everitt, Zettl, Garbow
A code to compute eigenvalues and eigenfunctions, and to approximate the continuous spectrum of regular and singular SturmLiouville (SL) problems. These problems consist of a second order linear differential equation (py')' + qy = (lambda) w y on (a,b)
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 Symbolic Solutions Group  Erich Kaltofen
The Symbolic Solutions Group is a group of researchers in computer algebra and related subjects at North Carolina State University. Their articles are available for download, usually in PostScript format, via FTP.
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 Tewodros Amdeberhan's Electronic Headquarters
Tewodros Amdeberhan studies combinatorics, number theory, special functions, partial differential equations, computer algebra, algorithmic proof theory, and harmonic analysis. His articles on these topics, as well as some unpublished musings, are available
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