61. Functional Analysis Group The interests of the group are diverse ranging from topological aspects of the geometry of Banach spaces, through operator systems, to topics bordering on probability and differential equations. http://www.maths.ox.ac.uk/fag/

62. ABSTRACT AND APPLIED ANALYSIS Classical Analysis, Linear and Nonlinear Functional Analysis, differential equations, Optimization Theory and Control Theory. Editor's site. http://www.math.usf.edu/fac/hermes/

Hindawi Publishing Corporation ISSN 1085-3375 Abstract and Applied Analysis Editor-in-Chief: Athanassios G. Kartsatos Professor Department of Mathematics University of South Florida, PHY 114 ... Tampa, FL 33620-5700, USA Abstract and Applied Analysis (AAA) is a mathematical journal devoted exclusively to the publication of high quality research papers in the fields of Abstract and Applied Analysis. Emphasis is placed on important developments in Classical Analysis, Linear and Nonlinear Functional Analysis, Ordinary and Partial Differential Equations, Optimization Theory and Control Theory. The journal supports the publication of original material involving the complete solution of significant problems in the above disciplines. The journal also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of Analysis. For More Information About the Journal Please Visit the Publishers' AAA Page: Hindawi Publishing Corporation TO A. G. KARTSATOS' HOME PAGE

63. 34: Ordinary Differential Equations Ordinary differential equations are equations to be solved in which the unknown elementis a function, rather than a number, and in which the known information http://www.math.niu.edu/~rusin/known-math/index/34-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 34: Ordinary differential equations Introduction Ordinary differential equations are equations to be solved in which the unknown element is a function, rather than a number, and in which the known information relates that function to its derivatives. Few such equations admit an explicit answer, but there is a wealth of qualitative information describing the solutions and their dependence on the defining equation. There are many important classes of differential equations for which detailed information is available. Applications to engineering and the sciences abound. Numerical solutions are actively studied. History Applications and related fields Note that every indefinite integration problem is really an example of a differential equation, so the entirety of section 28: Integration and Measure is subsumed in this section in principle. The solutions to many classic differential equations, particularly linear second-order differential equations, cannot be expressed in terms of the elementary functions but are themselves studied in 33: Special Functions . This includes Bessel functions, Whittaker functions, Airy functions, and so on.

64. AUTO The official WWW site for AUTO, the Continuation and Bifurcation Software for Ordinary differential equations. Topics include Bibliography, Documentation, and Download. http://indy.cs.concordia.ca/auto/

Welcome to the AUTO WWW Site, established in January 1996. There is help available on the structure of this site. Information available here has been organized as follows: WHAT'S NEW BIBLIOGRAPHY DOCUMENTATION DOWNLOAD ... RELATED SOFTWARE There are Papers and Lecture Notes related to AUTO available. Please do go through the before downloading the software. If you have any comments, questions or suggestions regarding this page, please let us know . Thank you for your interest and contribution. NEWS SOFTWARE FOR CONTINUATION AND BIFURCATION PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS Maintained By : Pankaj Kamthan kamthan@cs.concordia.ca Computational Mathematics Laboratory . All Rights Reserved.

65. 35: Partial Differential Equations Like ordinary differential equations, partial differential equations are equationsto be solved in which the unknown element is a function, but in PDEs the http://www.math.niu.edu/~rusin/known-math/index/35-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 35: Partial differential equations Introduction 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 behaviour 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, as we shall do below. Roughly corresponding to the initial values in an ODE problem, PDEs are usually solved in the presence of

66. Software For EMM (Efficient Method Of Moments) Code and User's Guide for EMM are freely available. Posted versions contain worked examples for estimation of continuous time stochastic differential equations for the shortterm interest rate and stock prices. http://www.econ.duke.edu/~get/emm.html

EMM : A Program for Efficient Method of Moments Authors: A. Ronald Gallant and George Tauchen A. Ronald Gallant Department of Economics University of North Carolina Chapel Hill NC 27599-3305 USA Phone 1-919-966-5338 FAX 1-919-966-4986 e-mail: ron_gallant@unc.edu George Tauchen Department of Economics Box 90097 Duke University Durham NC 27708-0097 Phone 1-919-929-3664 FAX 1-919-684-8974 e-mail: get@econ.duke.edu Keywords estimation by simulation, method of moments, minimum chi-square, stochastic differential equations, diffusions. Availability: FORTRAN code and a User's Guide as a PostScript file are available anonymous ftp from ftp.econ.duke.edu in directory pub/get/emm. The code is provided at no charge for research purposes without warranty of any kind, expressed or implied. It runs on PC's using the free GNU g77 compiler or the Microsoft Power FORTRAN; it also runs under UNIX/LINNUX. The GNU, Microsoft, and UNIX versions of EMM are posted under ftp/pub/get/emm. These versions work with SNP Versions 8.8 and earlier. The distribution software contains three worked examples. One is for estimation of a simple stochastic volatility model to stock returns data, and the other two pertain to for estimation of continuous time stochastic differential equations for the short-term interest rate and stock prices. References Gallant, A. R., and Tauchen, G. (2001) "Efficient Method of Moments," working paper available in either .ps or .pdf format via

67. Differential Equations And Mathematica Welcome to your Online Mathematica Companion for differential equations! The print version Linear Partial differential equations Appendix. http://www.math.armstrong.edu/faculty/hollis/mmade/

Welcome to your Online Mathematica Companion for Differential Equations The print version: Prentice Hall ISBN: 0130463299 Contents and Preface (pdf) 0. Introduction to Mathematica 1. Introduction to Differential Equations 2. Linear First-Order Equations and Applications 3. Nonlinear First-Order Equations and Applications 4. Approximation of Solutions 5. Coupled Pairs of First-Order Equations 6. Second-Order Equations and Applications 7. Linear Differential Systems 8. Nonlinear Autonomous Systems in the Plane 9. A Gallery of Nonlinear Systems 10. Fourier Series and Sturm-Liouville Eigenvalue Problems 11. Linear Partial Differential Equations Appendix. The DiffEqs Packages Resources The DiffEqs Packages Demo Notebooks Animation Notebooks Gallery of Nonlinear Systems ... Cool Palettes Primary Links Wolfram Research, Inc. Mathematica Information Center Student Support Forum Technical FAQs ... MathGroup Other Mathematica -related Sites Send comments/questions/suggestions/rants here Designed for Safari.

68. Differential Equations In Banach Algebras Fuchsian Singularities of Linear Ordinary differential equations in Banach Algebras. By Gerald Albrecht Category Science Math differential equations......Any comment is heartly welcome. Fuchsian Singularities of Linear Ordinary differentialequations in Banach Algebras. By Gerald Albrecht in Wuppertal. http://members.aol.com/AlbrechtG4/math3.htm

The following is the introductory section of a paper collecting some of my mathematical thoughts of the last years. Some problems are still open, the literature about this specific subject is very scarce. I hope the reader will not have too many difficulties due to the cumbersome notation in HTML. For those seriously interested in this area the complete paper is available as a PDF-file (450kb). Any comment is heartly welcome. Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras By Gerald Albrecht in Wuppertal In a complex unital Banach algebra B you can define the exponential function exp: B B equivalently by functional calculus or the classical series, which converges relative to the norm topology . B ) belongs to the principal component G of the group G of regular elements of B [BD]. In the early days (1947) of functional analysis J.v.Neumann, Halmos et al. [HP] recognized, that in general - in contrast to the case of a matrix algebra M n (C) - exp( B ) and G are different. This is true for B = BL(H) , the algebra of bounded linear operators on an infinite dimensional complex Hilbert space H, for which Deckard and Pearcy [DP] showed in 1967, that exp(

69. Shack's Math Problems Over one hundred math problems ranging from basic math to differential equations. http://www.thewizardofodds.com/math/

Shack's Math Problems By Michael Shackleford, A.S.A. Last update: December 14, 2001 Welcome to my page of math problems. Anyone with an appreciation of a good math problem should find something they like here, with problems ranging from basic math to differential equations. Each problem also comes with a difficulty rating from one to four stars. This is roughly a measure of how much time it took me to do the problem. Since your math background is likely different from mine your experience is likely to vary. The Math Problems Problems Problems Problems Problems Problems Problems Problems Problems Problems Problems Looking for a specific problem? Try the index Other Web Pages of Mine Tired of math? Try my new world geography quiz Acknowledgements . A list of people who have sent in problems and solutions as well as other math pages I recommend. My home page Name Distributions in the Social Security Area

70. Math Forum: Differential Equations The best Internet resources for differential equations classroom materials,software, Internet projects, and public forums for discussion. http://mathforum.org/differential/differential.html

Differential Equations Back to Math by Subject Math by Subject K12 Topics algebra arithmetic calculus discrete math geometry pre-calculus prob/stat Advanced Topics analysis calculus diff. equations game theory discrete math geometry (coll.) geometry (adv.) linear algebra modern algebra num. analysis Internet Resources for Differential Equations See also the Math Forum's Internet Mathematics Library: Differential Equations. Classroom materials for teachers and students Selected differential equations Internet resources for the classroom including activities and interactive resources. Software for differential equations Publicly available software and publishers online. Internet projects Activities for students and lovers of differential equations. Public forums Mailing lists and newsgroups sponsored by the Forum and others where mathematicians, teachers, and students trade ideas about differential equations. Suggestion Box Home The Math Library Help Desk ... Search http://mathforum.org/ webmaster@mathforum.org

71. Smart Pendulum Java applet explores a pendulum with rope of variable length. The solution implements 4th order Runge-Kutta method for differential equations. http://odin.prohosting.com/~evgenik1/pend.htm

main page 3 degree-of-freedom! Smart Pendulum ! If you had Java enabled browser you would see Pendulum Applet here How does it work? Java Applet every 1 millisecond recalculates and every milliseconds redraws the new pendulum position. The calculation is based on numerical solution of the 2 nd order differential equation that describes pendulum oscillation: f 2 dR d f g = ( - + visc ) - sin f where t - time, sec R - length of rope, m g visc - fluid viscosity, 1/sec f - angle between rope and vector of gravity, radian d f /d t f /d t The solution implements 4-th order Runge-Kutta method for differential equations. But in case of short confidence interval (if for instance you decide to state Viscosity as 1000 !) the solution is an integral of similar equation but with pure angle instead of its sine - so called mathematical pendulum. You may set gravity and viscosity directly in special fields, but remember to scale gravity! Whether you set it as Numerical performances of pendulum oscillations: Period - is the calculated time of one oscillation Period (mathem.) - is the theoretical value - period of

72. The Math Forum - Math Library - Differential Eqtns This page contains sites relating to differential equations. more . differentialequations (SOS Mathematics) Dept. of Mathematical Sciences, Univ. http://mathforum.org/library/topics/diffeq/

Browse and Search the Library Home Math Topics : Differential Eqtns Library Home Search Full Table of Contents Suggest a Link ... Library Help Subcategories (see also All Sites in this category Difference Equations Ordinary Differential Equations Partial Differential Equations Selected Sites (see also All Sites in this category Calculus and Differential Equations (MathPages) - Kevin Brown About 40 "informal notes" by Kevin Brown on calculus and differential equations: limit paradox, proofs that pi and e are irrational, Ptolemy's Orbit, leaning ladders, how Leibniz might have anticipated Euler, and many more. more>> Differential Equations (calculus@internet) - WebPrimitives, Cambridge, Massachusetts Links to many Web pages for resources for differential equations, in subcategories for: Equation Type; Techniques; Systems; First Order; Second Order; Technology; Theorems; Chaos; Fractals; Approximation; PDE; Boundary Conditions. more>> Differential Equations - Math Forum Links to some of the best Internet resources for differential equations: classroom materials, software, Internet projects, and public forums for discussion. more>> Differential Equations (S.O.S. Mathematics) - Dept. of Mathematical Sciences, Univ. of Texas at El Paso

73. David Urminsky's Home Page Current interrests are in Dynamical System, differential equations, Numerical Analysis, and Chaos. http://www.iam.ubc.ca/~urminsky

74. Electronic Journal Of Differential Equations http://www.ma.hw.ac.uk/EJDE/

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75. Fortran Codes Ernst Hairer's collection of code for solving DEs.Category Computers Programming Languages Fortran Source Code...... StructurePreserving Algorithms for Ordinary differential equations. Stiffdifferential equations and differential-Algebraic Problems http://www.unige.ch/math/folks/hairer/software.html

76. Electronic Journal Of Differential Equations location. Please visit the new location of the Electronic Journalof differential equations home page and update your bookmarks. http://www.ma.hw.ac.uk/EJDE/welcome.html

The link you have encountered has been moved to a new location. Please visit the new location of the Electronic Journal of Differential Equations home page and update your bookmarks.

77. Nicoleta Bila University of Cambridge. Geometric Integration of partial differential equations. http://www.damtp.cam.ac.uk/user/na/people/Nicoleta/

Nicoleta Virginia Bila Postdoctoral Research Associate Curriculum Viatae Research Interests Selected Papers Statement of Teaching ... Personal Page Professional Address Department of Applied Mathematics and Theoretical Physics University of Cambridge Silver Street, Cambridge, CB3 9EW Phone: (+44) (0) 1223 337893, Fax: (+44) (0) 1223 337918 Office S6, Numerical Analysis E-mail: N.Bila@damtp.cam.ac.uk Last updated: January 23, 2003 var site="s13nicoleta"

78. Computational Challenges In Partial Differential Equations Isaac Newton Institute for Mathematical Sciences, Cambridge, UK; January June 2003.Category Science Math differential equations Events......Isaac Newton Institute for Mathematical Sciences. Computational Challengesin Partial differential equations 20 Jan 4 Jul 2003. http://www.newton.cam.ac.uk/programs/CPD/

Seminars This week Next week Workshops Participants Long Stay Short Stay Contacts Mailing list ... Newton Institute Isaac Newton Institute for Mathematical Sciences Computational Challenges in Partial Differential Equations 20 Jan 4 Jul 2003 Organisers: Professor M Ainsworth (Strathclyde) Professor CM Elliott (Sussex) (Oxford) Programme theme The study of partial differential equations (PDE's) is a fundamental subject area of mathematics which links important strands of pure mathematics to applied and computational mathematics. Indeed PDE's are ubiquitous in almost all of the applications of mathematics where they provide a natural mathematical description of phenomena in the physical, natural and social sciences. Partial differential equations and their solutions exhibit rich and complex structures. Unfortunately, closed analytical expressions for their solutions can be found only in very special circumstances, and these are mostly of limited theoretical and practical interest. Thus, scientists and mathematicians have been naturally led to seeking techniques for the approximation of solutions. Indeed, the advent of digital computers has stimulated the incarnation of Computational Mathematics, much of which is concerned with the construction and the mathematical analysis of numerical algorithms for the approximate solution of partial differential equations. The present programme focuses on some of the most exciting and promising mathematical ideas in these fields, and those branches of PDE theory that provide a source of physically relevant and mathematically hard problems to stimulate future development. The main themes of the programme are:

79. Solving DDEs With MATLAB Deals with the solution of delay differential equations with constant delays http://www.runet.edu/~thompson/webddes/

Solving DDEs with MATLAB L.F. Shampine Mathematics Department Southern Methodist University Dallas, TX 75275 lshampin@mail.smu.edu S. Thompson Radford University Radford, VA 24142 thompson@runet.edu The information on this page deals with the solution of delay differential equations (DDEs) with constant delays using MATLAB . Included are a tutorial on using the MATLAB solver to solve DDES, a manuscript containing technical details for the solver, and a manuscript dealing with the event location procedures used in . In addition, the necessary M-files for the solver as well as the M-files for the problems discussed in the tutorial are available. Please contact one of the authors if you experience any difficulties with the material on this page or if you have any questions, comments, or suggestions regarding the information on this page. Available Materials: Tutorial Manuscript Event Location Solver M-files ... Tutorial M-files Last updated: 02/2000

80. Journal Of Dynamics And Differential Equations Journal of Dynamics and differential equations. IMPORTANT NEWS. Beginningin 2002, the yearly page budget for the Journal will be 1000 pages. http://www.math.umn.edu/~sell/jdde/top.html

Journal of Dynamics and Differential Equations IMPORTANT NEWS Beginning in 2002, the yearly page budget for the Journal will be 1000 pages. Description of the Journal Table of Contents Forthcoming Papers. Editor Professor George R. Sell School of Mathematics University of Minnesota 206 Church Street SE Minneapolis MN 55455 USA Phone: 1-612-625-8381 FAX: 1-612-626-2017 email: sell@math.umn.edu http://www.math.umn.edu/~sell Home Page of the Editor Publisher Journals Department Plenum/Kluwer Publishing Corporation 233 Spring Street New York NY 10013-1578 USA Subscriptions Telephone: 1-800-221-9369 FAX: 212-463-0742 Email: books@plenum.com http:www.plenum.com Home Page of the Publisher

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