61. ICNODEA 2004 International Conference on Nonlinear Operators, differential equations and Applications. BabesBolyai University, Cluj-Napoca, Romania; 2427 August 2004. http://www.math.ubbcluj.ro/~mserban/confan.htm

BABES-BOLYAI UNIVERSITY OF CLUJ-NAPOCA FACULTY OF MATHEMATICS AND INFORMATICS DEPARTMENT OF APPLIED MATHEMATICS DIFFERENTIAL EQUATIONS CHAIR INTERNATIONAL CONFERENCE ON NONLINEAR OPERATORS, DIFFERENTIAL EQUATIONS AND APPLICATIONS August 24-27, 2004, Cluj-Napoca, Romania ICNODEA-2004 SECOND ANNOUCEMENT Conference Objective and Structure The purpose of this conference is to get together experts in nonlinear analysis and promote contacts between Romanian mathematicians and mathematicians from all over the world, in order to discuss recent advances in the field. The program will contain: Paper related to the following topics are appropriate for submission to the conference: Fixed Point Theory, Ordinary Differential Equations, Nonlinear Integral Equations, Partial Differential Equations, Analysis of Multivalued Operators, Biomathematics and Mathematical Economics, Approximation and Numerical Methods. Conference’s Sections Fixed Point Theory and Mathematical Economics Differential Equations, Integral Equations and Dynamical Systems Partial Differential Equations, Optimal Control and Biomathematics

62. 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

63. FemLego Finite Element simulations using symbolic computing. Presented are a set of Maple procedures and Fortran subroutines that can be used to build complete Fortran simulation codes for partial differential equations, with the entire problem definition done in Maple. Examples and Downloads available. http://www.mech.kth.se/~gustava/femLego

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64. Geometry & Analysis: Lecture Notes A book by Dahlberg and Kenig in postscript (bitmapped fonts). The page also contains another book by Dahlberg Icke Linj 228;ra Evolutionsekvationer (Swedish). http://www.math.chalmers.se/Math/Research/GeometryAnalysis/Lecturenotes/

Dept of Mathematics Research Lecture Notes Björn E.J. Dahlberg and Carlos E. Kenig, Harmonic Analysis and Partial Differential Equations Postscript version Vilhelm Adolfsson, Luis Escauriaza and Carlos Kenig, Unique Continuation of Harmonic Functions at the Boundary Björn E.J. Dahlberg, Icke Linjära Evolutionsekvationer Postscript version , Swedish)

65. Ordinary Differential Equations Interactive differential equations http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node2.html

Next: Types of Differential Equation Up: Computational Physics Previous: Computational Physics Course Description Ordinary Differential Equations Subsections Types of Differential Equation Euler Method Order of Accuracy Stability ... Your Report

66. EMM: A Program For 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 Fuqua School of Business Duke University DUMC Box 90120, W425 Durham NC 27708-0120 USA Phone 1-919-660-7927 (Duke-Fuqua) e-mail: ron.gallant@duke.edu George Tauchen Department of Economics 305 Social Science Box 90097 Duke University Durham NC 27708-0097 USA Phone: 1-919-660-1812 e-mail: george.tauchen@duke.edu Keywords efficent method of moments, EMM, estimation by simulation, simulated 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 Click here for a complete list of working papers and published papers Gallant, A. R., and Tauchen, G. (2003) "Efficient Method of Moments," working paper available at

67. The MathWorks - Products - Partial Differential Equation Toolbox Differential Equation Toolbox for use with MATLAB provides functions and interactive tools for the study and solution of partial differential equations (PDE). http://www.mathworks.com/products/pde/

Worldwide home store contact us site help create account my account ... Get Pricing Partial Differential Equation Toolbox 1.0.5 Solve and analyze partial differential equations The Partial Differential Equation Toolbox contains tools for the study and solution of partial differential equations (PDEs) in two-space dimensions (2-D) and time. A set of command-line functions and a graphical user interface let you preprocess, solve, and postprocess generic 2-D PDEs for a broad range of engineering and science applications. Full Product Description Download Datasheet Language Options: English Deutsch Italiano Trademarks

68. TURBINE-PAK - A Software For Comprehensive Vibration Analysis Of Multi-bearing R Offers programs for vibration analysis of nonlinear rotor-bearing-foundation systems. By linearization in the vicinity of a stable equilibrium position or by direct solution of the non-linear differential equations of motion in the time domain. Detailed description of programes and services offered. http://sci-e-research.com/tpak.html

TURBINE-PAK 4.0 There are essentially two strategies for vibration analysis of non-linear rotor-bearing-foundation systems, such as systems with hydrodynamic journal bearings: Linearization in the vicinity of a stable equilibrium position. This approach is very effective if the Rotor-Bearing-Foundation (RBF) system equilibrium is stable and vibrations are sufficiently small. TURBINE-PAK is an advanced software tool that implements this approach for practical and effective engineering use. Direct solution of the non-linear differential equations of motion in the time domain. This approach is necessary for the non-linear transient motion analysis, studying of large vibration as well as for analysis of unstable rotor systems. Please see TURBINE-PAK NON-LINEAR for more information about this strategy. TURBINE-PAK is an advanced scientific software for vibration analysis of non-linear multi-bearing Rotor-Bearing-Foundation (RBF) systems. It performs linearization of non-linear RBF systems in the vicinity of their current equilibrium position and uses animated graphic user interface to communicate results of computations. Highlights of TURBINE-PAK: Designed for practical and effective analysis of multi-bearing rotor systems with up to 50 bearings on elastic foundation (hyperstatic system analysis) Extensive hydrodynamic and hydrostatic bearing support (including multi-pad, elliptical, fixed pad, rolling pad and pivot pad journal bearings).

69. Topics In Differential Equations Topics in differential equations. Contents. R4 Text Version (Worksheet) First Order differential equations (tutorials). A look at http://calclab.math.tamu.edu/docs/math308/topics.html

Topics in Differential Equations Contents Introductory Material First Order Differential Equations Applications of First Order Differential Equations Numerical Methods for First Order Differential Equations ... Notes on these worksheets Introductory Material tutorials DE quick tour for Maple A first day demo of using dsolve, odeplot, DEplot1, etc. Using Maple for DE Example of using Maple to analyze two nonlinear DEs Intro to DEs on Maple Several DEs solved and checked w/ Maple. Maple V R.3 Maple V R.4 Using dsolve to find exact solutions of many differential equations or systems of equations, with or without initial conditions.Intro to DEs on Maple. Maple V R3: Text Version Worksheet Maple V R4: Text Version Worksheet First Order Differential Equations tutorials A look at the separable DE dy x^2 = - dx 1-y^2 Solutions are found by finding the integral curves. Maple Code to determine whether or not a DE is separable. Solving y'=x^2+y^2 Three different methods of solving this: exactly, graphically, numerically. An Solving y'=sin(x) + sin(y) Example of a DE Maple cannot solve. DEplot is used to figure out what is happening.

70. MicroMath Research - Data Analysis And Modeling Software Chemist is a program for solution chemical equilibrium calculations. Scientist is a general mathematical modeling application for models consisting of analytic and/or differential equations. http://www.micromath.com

"Focus on Science Not Software" MicroMath Research publishes data analysis and modeling software for scientists and engineers. Our products are developed for working researchers who want to focus on science not software. Our software can model the most complicated physical systems and is simple enough for anyone with a general knowledge of mathematics and science to use. Our Products is a general mathematical modeling and data analysis application. It is specifically designed to fit model equations to experimental data. Other programs focus on technical graphics, symbolic manipulation, matrix operations or worksheets for engineering calculations. SCIENTIST incorporates all these elements, but it's primary function is fitting equations to experimental data. SCIENTIST can fit almost any mathematical model from the simplest linear functions to complex systems of differential equations, non-linear algebraic equations or models expressed as Laplace transforms. If you need to fit experimental data to mathematical models, you won't find a better tool than SCIENTIST for Windows! Libraries of mathematical models for Chemical Kinetics, Diffusion and Pharmacokinetics can be purchased separately. Chemist is a program for solution chemical equilibrium calculations. Just specify the composition of the solution in terms of quantities of the compounds in the solutions, press a button and the results are displayed in a spreadsheet. You can use this program to quickly and easily determine how to make a solution with specific properties, or rapidly perform a series of "what-if" calculations.

71. Ordinary Differential Equation -- From MathWorld order (integrating factor) and secondorder (Sturm-Liouville theory) ordinary differential equations, and arbitrary ODEs with linear constant coefficients can http://mathworld.wolfram.com/OrdinaryDifferentialEquation.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Calculus and Analysis Differential Equations Ordinary Differential Equations Ordinary Differential Equation An ordinary differential equation (frequently called an "ODE" or a "diffy Q") is an equality involving a function and its derivatives . An ODE of order n is an equation of the form where y is a function of x is the first derivative with respect to x , and is the n th derivative with respect to x An ODE of order n is said to be linear if it is of the form A linear ODE where is said to be homogeneous . Confusingly, an ODE of the form is also sometimes called "homogeneous." In general, an n th-order ODE has n linearly independent solutions. Furthermore, any linear combination of linearly independent functions solutions is also a solution. Simple theories exist for first-order integrating factor ) and second-order Sturm-Liouville theory ) ordinary differential equations, and arbitrary ODEs with linear constant

72. Partial Differential Equation -- From MathWorld (1). in general, partial differential equations are much more difficult to solve analytically than are ordinary differential equations. http://mathworld.wolfram.com/PartialDifferentialEquation.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Calculus and Analysis Differential Equations Partial Differential Equations Partial Differential Equation A partial differential equation (PDE) is an equation involving functions and their partial derivatives ; for example, the wave equation in general, partial differential equations are much more difficult to solve analytically than are ordinary differential equations . They may sometimes be solved using a characteristics Green's function integral transform Lax pair ... separation of variables , orwhen all else fails (which it frequently does)numerical methods such as finite differences Fortunately, partial differential equations of second-order are often amenable to analytical solution. Such PDEs are of the form Linear second-order PDEs are then classified according to the properties of the matrix as elliptic hyperbolic , or parabolic If is a positive definite matrix , i.e.

73. Memoirs On Differential Equations And Mathematical Physics Abstracts and contents of all volumes full text free after twoyear delay. http://www.jeomj.rmi.acnet.ge/memoirs/

Memoirs on Differential Equations and Mathematical Physics is an International journal for the publication of high-quality, peer-reviewed original papers with full proofs in ordinary and partial differential equations and thear applications. Periodically short communications are published containing main results of talks reported on Tbilisi Seminar of Qualitative Theory of Differential Equations. It is issued three times a year as of 1994. Subscription inquiries and subscription orders should be addressed to the editorial office Volume 1 Volume 2 Volume 3 ... Volume 18 This page makes it possible to look through the contents of the volumes which have already appeared. Moreover, DVI and PostScript files of all papers published two and more years ago are avaliable. Editorial Board Submission Information

74. Electronic Journal Of Differential Equations http://ejde.math.unt.edu/

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75. Fengbo Hang Veblen Research Instructor, Department of Mathematics, Princeton University. Subjects geometric analysis, nonlinear partial differential equations, geometric measure theory. http://www.math.princeton.edu/~fhang/

Welcome to Fengbo Hang 's Homepage Current Address Dept. of Math Princeton University Fine Hall, Washington Road Princeton, NJ 08544-1000 Office : Fine 607 Phone : 609-258-4235 Fax : 609-258-1367 fhang@math.princeton.edu Research Interests Nonlinear partial differential equations Geometric analysis Geometric measure theory Publications Math Links

76. Journal Of Hyperbolic Differential Equations Home Journals by Subject Mathematics Journal of Hyperbolic differential equations (JHDE) New. Aims Scope. This journal publishes http://www.worldscinet.com/jhde/jhde.shtml

What's New New Journals Browse Journals Search ... Mathematics Journal of Hyperbolic Differential Equations (JHDE) New This journal publishes original research papers on nonlinear hyperbolic problems and related topics, of mathematical and/or physical interest. Specifically, it invites papers on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics. More Feature Articles (Free Inaugural Issue) Vol. 1, No. 1 (March 2004) MIXED EQUATIONS AND TRANSONIC FLOW CATHLEEN SYNGE MORAWETZ GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H (R) TERENCE TAO GLOBAL EXISTENCE OF SHOCK FRONT SOLUTIONS TO THE AXIALLY SYMMETRIC PISTON PROBLEM FOR COMPRESSIBLE FLUIDS SHUXING CHEN , ZEJUN WANG and YONGQIAN ZHANG RICCI DEFECTS OF MICROLOCALIZED EINSTEIN METRICS SERGIU KLAINERMAN and IGOR RODNIANSKI FRONT TRACKING FOR SCALAR BALANCE EQUATIONS K. H. KARLSEN , N. H. RISEBRO and J. D. TOWERS A REDUCED STABILITY CONDITION FOR NONLINEAR RELAXATION TO CONSERVATION LAWS FRANÇOIS BOUCHUT ADVANCED HYPERBOLIC DIVERGENCE CLEANING SCHEME FOR SHALLOW WATER MAGNETOHYDRODYNAMICS YONG-JOONG LEE and CLAUS-DIETER MUNZ Forthcoming Papers Vol. 1 No. 2 (June 2004)

77. Home Page For The Analytic Topology Research Group Research interests topology of metric spaces, generalised metric spaces, continua, function spaces, hyperspaces, topological algebra, set theoretic methods in topology, and applications of topology to computer science and the theory of differential equations. http://www.maths.ox.ac.uk/atg/

Analytic Topology Research Group About the Research Group Members of the Analytic Topology Research Group at the Mathematical Institute, University of Oxford, are working on a range of topological topics, which include: topology of metric spaces, generalised metric spaces, continua, function spaces, hyperspaces, topological algebra, set theoretic methods in topology, and applications of topology to computer science and the theory of differential equations. The research group has, at present, six members and organises a regular research seminar , usually given by a visiting speaker . In Hilary Term 2003, Rolf Suabedissen is thinking of organising some seminars/classes aimed at graduate students or final year undergraduates: please mail him if you might be interested. If you are interested in doing research in general topology in Oxford, email Dr. P. J. Collins A new website for topological events in the UK. The Birmingham Topology Seminar meets on Fridays at 4pm in G40, the Computer Science Building, at the University of Birmingham. Here is a list of former students from the group. If you have relevant information please let me know.

78. An Introduction To Stochastic Differential Equations An Introduction to Stochastic differential equations. One way to deal with equations such as (2), is to look at them in differential form,. http://www.taygeta.com/sde/lecture1/stokos1/stokos1.html

An Introduction to Stochastic Differential Equations Consider the (vector) ordinary differential equation: Now we suppose that the system has a random component, , added to it, The solution to this random differential equation is problematic because the presence of randomness prevents the system from having bounded measure. The result is that the derivative does not exist. One way to deal with equations such as (2), is to look at them in differential form, The solution to (2) or equivalently (3) or (4) can be regarded as the result of performing the integration, This definition of the solution to the stochastic differential equation (4) is consistent if we use the following for the chain rule: This equation is known as (the one dimensional) . This can be written in higher dimension as well. The stochastic calculus we have just described is It is possible to define a consistent calculus and preserve the standard chain rule, The integration will be a solution to the SDE only if we define and in terms of our original equation (2) as

79. 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.

80. Stochastic Differential Equation Information, Taygeta Scientific Inc. Stochastic Differential Equation Information. An Introduction to Stochastic differential equations. Numerical Stochastic Differential Equation References. http://www.taygeta.com/sdes.html

Stochastic Differential Equation Information An Introduction to Stochastic Differential Equations . An introductory lecture (to be expanded in the future). Stochastic Differential Equation Solver Software Ada version (scalar only). C++ version Unix compressed tar file GNU compressed tar file Shell archive (7 parts) part 1 part 2 part 3 part 4 ... Forth version (scalar only). Numerical Stochastic Differential Equation References See Also: C++ Classes Random Number Generation What do I use this stuff for ? Dr. Everett (Skip) F. Carter Jr. ... Taygeta Scientific Inc. 1340 Munras Ave., Suite 314 Monterey, CA. 93940-6140 voice: 831.641.0645 FAX: 831.641.0647 INTERNET: skip@taygeta.com WWW: http://www.taygeta.com/ Taygeta's home page

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