Science - Math - Differential Equations Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses - Online course material XMorphia - A set of graphics and notes intended to show how complex patterns can arise from simple differential equations. GetDP (a General environment for the treatment of Discrete Problems) - A scientific software environment for the numerical solution of integro-differential 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, ...). MGNet - Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods. Nonlinear Differential Equations at Glasgow - The site describes research activities of the differential equations group in the mathematics department at the university of Glasgow, UK, and provides some resources of a general nature. The Heat Equation - An interactive page illustrating solutions of the one-dimensional heat equation. The Animated Telegraph equation - This demonstration illustrates the behaviour of solutions of the telegraph equation Differential Equations in Industry and Commerce - European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics. arXiv Front: AP Analysis of PDEs - PDEs section of the mathematics e-print arXiv. C*ODE*E - Consortium of ODE Experiments. Newsletter, graphics, links Computational PDEs Unit - School of Computing, University of Leeds. Research details, publications, software and resources. Numerical Methods for Partial Differential Equations - Methods such as finite differences, finite elements, fast Fourier transforms, Monte-Carlo and Lagrangian schemes are discussed in 1D to solve a variety of problems including the advection, diffusion, Black-Scholes, Burger, Korteweg-DeVries and the Schroedinger equations. Differential Equations in Banach Algebras - Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. Stripf's Homepage - A Java Applet to illustrate and solve initial value problems. Uses different numerical methods (e.g. Runge-Kutta) that can be compared to each other. Math Unit III: More on the derivative and differential equations - Exact definition of derivation and calculating the relationship of derivatives of related functions. Osaka University - PDE-Analysis research group. Organises the East Asia Symposium on PDE. PRIDE - Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design. Analytic Solution for the Burgers Equation - Provides the general analytic solution for the Burgers equation in the form of a 4-D commutative hypercomplex function. The solution exhibits the main dynamic features in a Burgers medium: propagation of disturbances, shock waves, propagating state change fronts, and solitons. A page is included to explain the hypercomplex mathematics. ODEcalc an ODE calculator! - An Ordinary Differential Equation (ODE) Calculator! State your equation and boundary or initial value conditions and it solves your problem. Plots solution, y, and derivative, ydot, versus x. Solves nth order ODE as IVP & BVP. Table of Laplace Transforms - This page contains an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations. Difference Method for Numerical Approximation to Applied Differential Equations. - This page explains how to use the difference formula of differentials to approximate the differential equations for applied systems. This method is used when analytical techniques are unavailable or cause computers to spit out garbage. This difference method is very similar to the Runge-Kata and Newton's method. MathPages: Calculus and DiffEq Notes - Kevin Brown's compilation of postings including many topics in differential equations. Elliptic Problems with Concentrated Loading - A web text on the background to the extrapolation method for the numerical solution of elliptic boundary value problems by Kwok Sui-Yuen Billy. Finding Green's Functions for ODEs - A brief but technical overview of methods of finding Green's functions. By Evans M. Harrell II and James V. Herod. Introduction to Green's Functions - Green's functions play an important role in the solution of linear ordinary and partial differential equations, and are a key component to the development of boundary integral equation methods. Weak and Variational Forms of Poisson's Equation - A set of lecture notes on Poisson's equation. [PDF Format] Green's Function Theory - A set of lecture notes on Green's functions and their applications. Linear Mathematics in Infinite Dimensions - A set of lecture notes on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics. Partial Differential Equations - An overview of partial differential equations and their physical applications. The Polar Representation Theorem - An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. In PDF format. PDEase2D 3.0 - Solves partial differential equations numerically by finite element analysis for use in such problems as heat transfer, reaction diffusion, solid and fluid mechanics, electromagnetics, groundwater flow, and quantum mechanics. Introduction to Ordinary Differential Equations with Mathematica - Contains a number of ODE labs, and an extremely useful Mathematica Package ode.m which allows series solutions of ODEs. Vibrating Drumhead - A set of Mathematica packages which outline solutions of the wave equation in various coordinates. Series Solutions to Differential Equations - A set of downloadable lectures. Partial Differential Equations - A set of lectures on numerical solutions and applications to physics. Pseudo-Differential Operators - These lecture notes cover a first year graduate course that was given on pseudo-differential operators. The calculus on manifolds is developed and applied to prove propagation of singularities and the Hodge decomposition theorem. Waves and Oscillations - Teaching resources developed by Frances Goldman, University of Glasgow. Green's Functions - Lecture notes introducing this technique for solving first and second order differential equations. Scanned (GIF) by Joceline Lega. Differential Equations with Boundary Value Problems - By S. Hollis (Prentice Hall, 2002). Overview of contents, errata, software and link to purchasing page. Electronic Journal of Differential Equations - Full text available in DVI, PDF, PS and TeX formats. Searchable index. Electronic Journal of Qualitative Differential Equations - Free research papers on differential equations. Ergodic Theory and Dynamical Systems - Ergodic Theory and Dynamical Systems is a journal which focuses on a variety of research areas. Hilbert Space Methods for Partial Differential Equations - A group of free papers on partial differential equations. Nonlinear Differential Equations and Applications - (Birkhäuser) Tables of conents from vol.4 (1997) on. Full text to subscribers. The Wave Equation and Other PDE's - An overview of applications of partial differential equations and methods of solving them. M302 - Ordinary Differential Equations - The computer exercises in this section are based on MAPLE and are for a one semester course in differential equations at the sophomore level. Nonlinear Partial Differential Equations - Edinburgh, 8-18 January 2001. The aim of this 10-day course is to instruct young mathematicians on modern methods for nonlinear PDE theory, where the motivation comes from important new areas in applied science. Dynamics in One Complex Variable - These notes study the dynamics of iterated holomorphic mappings from a Riemann surface to itself. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry. Open Problems in Dynamical Systems - A collection of papers outlining unsolved problems in the field of dynamical systems. Dynamical Systems Lab - This set of lectures is designed to explore one-dimensional dynamical systems using the software Chaos and Dynamics. Pages on Dynamical Systems - A interactive laboratory on dynamical systems, in particular on particle systems. Java Exploration Tool for Dynamical Systems - This Java Applet can be used for the exploration on two-dimensional analytical defined dynamical systems. The system is defined by a set of two differential equations, which will be evaluated within adjustable regions forming a two-dimensional vector field. Chaos, Limit Cycles and Twisted Rods - Integrability and chaotic attractors. Limit cycles of the Lienard systems. Elastic instabilites : twisted rods. Path and surface following : continuation algorithms. Society for Nonlinear Dynamics and Econometrics - The Society seeks to promote the use of nonlinear methods in economics and finance from both a theoretical and empirical perspective. Turbulent Landscapes - Turbulent Landscapes is the result of 13 artists' explorations of complexity in nature. The exhibit will travel to museums and science centers in upcoming months. Ergodic Theory and Dynamical Systems - With a particular emphasis on applications to other areas of mathematics. Mark Pollicott. ArXiv - Recent papers in dynamical systems at the ArXiv preprint server. Open Problems in Dynamical Systems and Ergodic Theory - Originally from the Katsiveli 2000 Open Problems Session, now maintained by Sergiy Kolyada. PDF/PS. Surveys in Dynamical Systems - References to several surveys and papers of introductory character which are available on-line. Dynamic Regimes and Bifurcations in a Reduced Model of Blood Coagulation - Article by E.S. Lobanova, Å.Å. Shnol and F.I. Ataullakhanov. Nonlinear Dynamics Bibliography - Maintained by Peter E. Beckmann, Johannes Gutenberg Universität. Evolution Equations and Semigroups - Bulletin board and preprint archive. Climate Dynamics, Chaos and Quantum Mechanics - A general systems theory for chaos, quantum mechanics and climate dynamics applicable to dynamical systems of all space-time scales. Crowd Dynamics - Crowd and Egress Dynamics by G. Keith Still. Dynamical Systems Data Base - Data base of around 50,000 planar dynamical systems. Dynamical Systems Home Page - Conference listings, survey articles, open problems, people, jobs, and seminars. Let's Face Chaos through Nonlinear Dynamics - International Summer School/Conference series, held in Slovenia approximately once every three years. SIAM Conference on Applications of Dynamical Systems (DS03) - Snowbird Ski and Summer Resort, Snowbird, UT, USA; 27--31 May 2003. Experimental Chaos Conference - A biennial meeting that focuses on the forefront of experimental work in the field of chaos and nonlinear dynamics. Spring Topology and Dynamical Systems Conference 2003 - Lubbock, Texas, USA; 20--22 March 2003. Dynamical Systems, Denton (DSD2003) - University of North Texas, Denton, TX, USA; 25--29 May 2003. Cargese 2003 - Summer school on Dynamical Systems and Statistical Mechanics, including applications. Institut d'Etudes Scientifiques de Cargèse, Corsica (France); 18--30 August 2003. Let's Face Chaos through Nonlinear Dynamics 2002 - 5th International Summer School/Conference. Maribor, Slovenia; 30 June--14 July 2002. NEEDS '98 - 12th Workshop on Nonlinear Evolution Equations and Dynamical Systems. University of Leeds, UK; 21 - 28 June 1998. NEEDS 2002 - Nonlinear Evolution Equations and Dynamical Systems. Cadiz, Spain; 10--16 June 2002. Special Research Trimester on Dynamical Systems - Scuola Normale Superiore, Pisa, Italy; 1 February -- 30 April 2002. New Directions in Dynamical Systems - (A satellite conference of ICM 2002.) Ryukoku University and Kyoto University, Kyoto, Japan; 5--15 August 2002. Qualitative Theory of Dynamical Systems - Contents, abstracts, free text. Regular and Chaotic Dynamics - Abstracts, contents. Full text to subscribers. Dynamical Systems: an International Journal - Formerly Dynamics and Stability of Systems (Routledge). Tables of contents from vol.11 (1996), abstracts from vol.14 (1999). Full text to subscribers. Multibody System Dynamics - (Kluwer) Abstracts and contents of all volumes. Full text to subscribers. Far East Journal of Dynamical Systems - (Pushpa) Table of contents and abstracts from vol.1 (1999). (UK) University of Cambridge - The Nonlinear Centre: a research group in Dynamical Systems and related aspects of Nonlinear Science. Based in the Department of Applied Mathematics and Theoretical Physics (DAMTP) and the Statistical Laboratory. (USA) Penn State - Center for Dynamical Systems. Meetings, members, publications. (USA) Georgia Tech - The Center for Dynamical Systems and Nonlinear Studies was established in September 1988 to strengthen the existing research activities in the School of Mathematics with special focus on dynamical systems, differential equations, nonlinear analysis, and applications. (UK) University of Leeds - Centre For Nonlinear Studies. Research collaborations between mathematicians, scientists and engineers with a common interest in nonlinear dynamics and its applications. Meetings, publications and resources. (UK) University of York - Networks and Nonlinear Dynamics Group, Department of Mathematics. Control, prediction and optimisation of complex systems. Systems looked at include road traffic, telecoms traffic and production data from noisy real-world industrial processes. (Japan) University of Kyoto - Department of Applied Analysis and Complex Dynamical Systems. Macroscopic phenomena of complex systems consisting of microscopic elements, mostly via nonlinear, large-scale interactions. (France) Institut de Mathématiques de Luminy - Dynamics, Arithmetic, Combinatorics. Site in French and English. (UK) University of Bath - The Centre for Nonlinear Mechanics: an interdisciplinary research centre combining many aspects from engineering and pure science in the modelling of practical nonlinear systems. (UK) TUXEDO - The U.K. Spatially Extended Dynamics Organisation. An inter-university research collaboration meeting several times a year. (UK) University of London, University College - Centre for Nonlinear Dynamics and its Applications. People, current research areas, meetings, publications, links. (Germany) University of Munich - Nonlinear Dynamics Group. Group information and publications. (UK) University of Liverpool - Dynamical Systems research group: members, research topics. (USA) Brown University - Lefschetz Center for Dynamical Systems. Members, research interests, publications, software, meetings, resources. (Argentina) Universidad Nacional de Rosario - Laboratory for System Dynamics: working on Control, Identification and Simulation of Dynamical Systems. People, publications, research, teaching, software, resources. Danishevs'kyy, Vladyslav - Asymptotic methods, composite materials, effective properties, nonlinear vibrations, internal resonances. Gardner, Robert A. - Applied mathematics, partial differential equations Hang, Fengbo - Veblen Research Instructor, Department of Mathematics, Princeton University. Subjects: geometric analysis, nonlinear partial differential equations, geometric measure theory. Henson, Shandelle - Andrews University. Dynamical systems and bifurcation theory, with applications to population biology and ecology. Schmeidel, Ewa - Poznañ University of Technology. Difference equations. Ward, Thomas - University of East Anglia. Ergodic theory and dynamical systems. Computational Challenges in Partial Differential Equations - Isaac Newton Institute for Mathematical Sciences, Cambridge, UK; January -- June 2003. Partial Differential Equations and Spectral Theory - Institut Mittag-Leffler, Fall 2002/3. Texas Partial Differential Equations Seminar - An annual event that brings together researchers working on partial differential equations and related topics. WHAPDE - Workshop in Harmonic Analysis and Partial Differential Equations. Puerto Vallarta, Mexico; 23--27 June 2003. Boundary Integral Methods - 3rd International Conference on Theory and Applications. Brunel University, London, UK; 14--18 September 2004. LUXFEM'03 - Finite element applications: analysis, design and process. Luxemburg; 13--14 November 2003. Geometric Methods in Inverse Problems and PDE Control - IMA 2001 Summer Program. University of Minnesota, USA; 16--27 July 2001. Summer School on NonLinear Partial Differential Equations - Instituto Superior Técnico (IST), Lisbon, Portugal; 16--20 July 2001. Instructional Conference on Nonlinear Partial Differential Equations - Edinburgh; 8--18 January 2001. International Symposium on Computational and Applied PDEs - Zhangjiajie, Hunan, China; 1--7 July 2001. Midwest Partial Differential Equations Seminar - Spring 2001 Midwest PDE at Indiana University; 7--8 April 2001. Workshop on the Solution of Partial Differential Equations on the Sphere - Montreal, QC, Canada; 15--18 May 2001. SciCADE01: International Conference on Scientific Computing Differential Equations - Vancouver, BC, Canada; 29 July -- 3 August 2001. Nonlinear Elliptic Equations and Transition Phenomena EuroConference - Isaac Newton Institute, Cambridge; 2--6 July 2001. Partial Differential Equations in Mathematical Physics - Fields Institute, Toronto; 16--21 April 2001. Progress in Partial Differential Equations - The main purpose of the meeting is to bring together leading experts in this broad and fast-moving area with the objective of highlighting recent important developments. Particular attention will be paid to developments in PDEs that relate to the sciences and other areas of mathematics such as geometry, the calculus of variations, dynamical systems and stochastic analysis. Edinburgh; 9--13 July 2001. Stochastic Partial Differential Equations, Statistical Issues and Applications - Workshop. University of Copenhagen, Denmark; 4--6 January 2001. Nonlinear Evolution Equations and Dynamical Systems (NEEDS 2001) - Isaac Newton Institute for Mathematical Sciences, Cambridge, UK; 24 -- 31 July 2001. Nonlinear Dynamics and Chaos - Where should we go from here? Burwalls Conference Centre, University of Bristol, UK; 8--10 June 2001. Ellipticity and Parabolicity in Analysis and Geometry (EPAG2001) - Topics: Spectral theory, index theory, heat equation and other parabolic equation methods, existence and regularity of solutions to elliptic/parabolic equations, geometric and spectral invariants. Potsdam, Germany; 20-24 August 2001. Variational Sequences and Bicomplexes - Advanced 5-day course, immediately before the 8th International Conference on Differential Geometry and its Applications (2731 August 2001). Mathematical Institute, Silesian University, Opava, Czech Republic; 20--24 August 2001. Nonlinear Partial Differential Equations - Variational and Viscosity Methods, Concentration Phenomena, Nonlinear Dynamics and Phase Transitions. Thematic Programme, Pacific Institute for the Mathematical Sciences, Vancouver; July-August 2001. Fourth-Order Parabolic Equations - A TMR Workshop. University of Bath, UK; 7--9 January 2002. What is Integrability? - Euro Summer School. Isaac Newton Institute, Cambridge, UK; 13--24 August 2001. EQUADIFF 10, Prague - Czechoslovak International Conference on Differential Equations and Their Applications. Prague; 27--31 August 2001. Discrete Systems and Integrability - EuroWorkshop. Isaac Newton Institute, Cambridge, UK; 3--14 September 2001. Asymptotic Methods and Applications in Kinetic and Quantum-Kinetic Theory - Granada, Spain; 17--21 September 2001. International Conference on Differential Equations and Their Applications - Institute of Mathematics, Almaty, Republic of Kazakhstan. 26--28 September 2001. 21st Annual Southeastern-Atlantic Regional Conference on Differential Equations - Wake Forest University , Winston-Salem, NC, USA; 2--3 November 2001. New Approaches to Solving Differential Equations - Drohobych, Ukraine; 1--5 October 2001. Regularity in Partial Differential Equations - CMAF/Universidade de Lisboa, Portugal; 8--10 November 2001. International Conference on Factorization, Singular Operators and Related Problems - Dedicated to the 70th anniversary of Professor Gueorguii Litvinchuk. Madeira University, Portugal. 28 January -- 1 February 2002. Texas PDE Seminar 2002 - UTSA Downtown, San Antonio, Texas, USA; 2 February 2002. Dynamics with Symmetry - University of Leeds, UK; 25--26 March 2002. The 2002 UAB International Conference on Differential Equations and Mathematical Physics - Birmingham, Alabama, USA; 26--30 March 2002. ICDEA 2001 - 6th International Conference on Difference Equations and Applications. Augsburg, Germany; 30 July -- 3 August 2001. Journées des Equations Différentielles et Calcul Formel - Lille, France; 16--18 March 2000. Nonlinear Partial Differential Equations and Related Topics - An international conference to commemorate the 60th birthday of Professor Neil Trudinger. Australian National University, Canberra; 15--19 July 2002. Normal Forms, Bifurcations, and Finiteness Problems in Differential Equations - NATO Advanced Study Institute. Université de Montréal, Canada; 8--19 July 2002. Colloquium on Differential and Difference Equations - Dedicated to Prof. Frantiek Neuman on his 65th birthday. Brno, Czech Republic; 4--6 September 2002. Dynamical Methods for Differential Equations 2002 - Valladolid, Spain; 4--7 September 2002. Marrakech 2002 - Marrakech 2002 Autumn School on Delay Differential Equations and Applications. University of Marrakech, Morocco; 9--26 September 2002. Workshop on Domain Decomposition Methods in Fluid Mechanics - Topics include: boundary layer flows over moving objects, underground water flows, two-phase flows, three-phase flows, solidification in a casting process, fluid structure interaction, blood flow simulation. The workshop will also concentrates on software and algorithmic issues related to non-linear problems. University of Greenwich, London; 5--7 September 2001. Books Corner - Reviews and pointers to books. Difference Equations and Discrete Dynamical Systems - A web-based newsletter. Difference Equations to Differential Equations - By Dan Sloughter. Published in PS/PDF with applets under GPL. Journal of Difference Equations and Applications - (Routledge) Table of contents from vol.8 (2002). Full text to subscribers. The Math Forum - A compilation of sites relating to Difference Equations. netmation.com | netmation.net | netmation.org | netmation.tv Copyright © 1991-2005 Netmation Inc. All Rights ReservedSite Designed and Hosted by Netmation Inc.