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  Selected Sites   (see also All Sites in this category)

  1. Partial Differential Equations - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to partial differential equations. Like ordinary differential equations, partial differential equations are equations to be solved in which the unknown element is a function, but in PDEs the function is one of several variables, and so of course the known information relates the function and its partial derivatives with respect to the several variables. Again, one generally looks for qualitative statements about the solution. For example, in many cases, solutions exist only if some of the parameters lie in a specific set (say, the set of integers). Various broad families of PDE's admit general statements about the behavior of their solutions. This area has a long-standing close relationship with the physical sciences, especially physics, thermodynamics, and quantum mechanics: for many of the topics in the field, the origins of the problem and the qualitative nature of the solutions are best understood by describing the corresponding result in physics. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>


 
  All Sites - 55 items found, showing 1 to 50

  1. 3D-XplorMath - Richard Palais
    3D-XplorMath creates visualizations of mathematical objects and processes. This tool has built-in algorithms for displaying mathematical objects such as plane curves, space curves, surfaces, conformal maps, polyhedra, ordinary and partial differential ...more>>

  2. 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 ...more>>

  3. 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. ...more>>

  4. 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 e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic. ...more>>

  5. 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 ...more>>

  6. arXiv.org e-Print archive - Los Alamos National Laboratory (LANL)
    A major site for mathematics preprints that has incorporated many formerly independent specialist archives including alg-geom, funct-an, dg-ga, q-alg, auto-fms, cd-hg, MAGNUS, Several Complex Variables, Logic E-prints, Commutative Algebra, Dynamical Systems, ...more>>

  7. 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; ...more>>

  8. 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 ...more>>

  9. 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 scientific-industrial computing. It is formed by groups in the Departments of Electromagnetics, Mathematics, Solid Mechanics, and Structural ...more>>

  10. 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; Leap-Frog Method; Runge-Kutta Method; Predictor-Corrector Method; Intrinsic Method) and partial ...more>>

  11. 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 ...more>>

  12. Diffpack - Numerical Objects Online
    Diffpack is a collection of C++ modules containing a wide selection of interchangeable and application-independent components, useful as a set of linkable libraries integrated with existing applications or as a development framework including a fully ...more>>

  13. 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 time-dependent (moving) photorealistic surfaces in real time; and construct ...more>>

  14. The Dynamical Systems and Technology Project at Boston University - Robert L. Devaney; Dept. of Mathematics
    An NSF-sponsored 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. ...more>>

  15. 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 ...more>>

  16. 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. ...more>>

  17. 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 ...more>>

  18. Feynman-Kac Formulae: Genealogical and Interacting Particle Systems with Applications - Pierre Del Moral
    Description of a published book on Feynman-Kac 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 ...more>>

  19. 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. ...more>>

  20. Front for the Mathematics ArXiv - Univ. of California, Davis
    U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives including alg-geom, funct-an, dg-ga, q-alg, auto-fms, cd-hg, MAGNUS, Several Complex ...more>>

  21. 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 ...more>>

  22. Harmonic Maps Bibliography - Burstall, Lemaire, Rawnsley
    An ongoing project to provide a searchable, comprehensive, and up-to-date 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 ...more>>

  23. 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 ...more>>

  24. 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 ...more>>

  25. HPC-Netlib: High Performance Math Software - National HPCC Software Exchange (NHSE)
    The high performance branch of the Netlib mathematical software repository. HPC-Netlib provides information about high performance mathematical software, both research and commercial, as well as a roadmap to software selection and performance issues. ...more>>

  26. 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). ...more>>

  27. 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 well-known ideas from finite dimensional linear algebra to infinite dimensions. The book has six major chapter topics: Infinite Dimensional ...more>>

  28. 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 ...more>>

  29. 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, ...more>>

  30. 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 ...more>>

  31. 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 ...more>>

  32. Mathematical and Statistical Software - Pittsburgh Supercomputing Center, Carnegie Mellon University
    BLOCKSOLVE, EISPACK, FISHPACK, IMSL, NRL-3D, 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 ...more>>

  33. 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 Logic-Based Systems; Distributed ...more>>

  34. 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, ...more>>

  35. 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 ...more>>

  36. 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. A link to the Bibliothèque Mathématique ...more>>

  37. 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. ...more>>

  38. Multigrid Algorithm Library - Ulrich Ruede; German Scientific Computing Pages
    Multigrid (MG) methods are fast linear iterative solvers based on the multilevel or multi-scale paradigm. The typical application for multigrid is in the numerical solution of elliptic partial differential equations in two or more dimensions. MG can be ...more>>

  39. Numerical Recipes in C: The Art of Scientific Computing - Books On-Line - Press, Teukolsky, Vetterling, Flannery; Cambridge University Press
    An on-line 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 ...more>>

  40. Numeritek - E. F. Toro
    Home of Numerica, a library of source codes for solving hyperbolic partial differential equations using a broad range of modern, high-resolution shock-capturing conservative and non-conservative numerical methods. Most of the programs are based on upwind ...more>>

  41. 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 ...more>>

  42. 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 ...more>>

  43. 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. ...more>>

  44. 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 ...more>>

  45. Query Interface to the Contents of the Mathematics Archives - University of Tennessee, Knoxville (UTK)
    Search software, abstracts and reviews; teaching materials, etc. by keyword. ...more>>

  46. 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 ...more>>

  47. Student-Created Calc III Labs - Cervone, Wicklin; The Geometry Center
    Five computer calculus labs that explore the application of mathematics to modeling real-world phenomena. Tangent Planes to Surfaces (exploring the tangent planes and gradient vectors of 2- and 3-dimensional curves, examining explicit, parametric, and ...more>>

  48. Sturm-Liouville Problems: SLEIGN2 - Bailey, Everitt, Zettl, Garbow
    A code to compute eigenvalues and eigenfunctions, and to approximate the continuous spectrum of regular and singular Sturm-Liouville (S-L) problems. These problems consist of a second order linear differential equation -(py')' + qy = (lambda) w y on (a,b) ...more>>

  49. 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. ...more>>

  50. 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 ...more>>


 
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