Differential Equations
Differential Equations Links
- 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.
- 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.
- XMorphia A set of graphics and notes intended to show how complex patterns can arise from simple differential equations.
- arXiv Front: AP Analysis of PDEs PDEs section of the mathematics e-print arXiv.
- PDEase2D 3.0 Main Page PDEase solves partial differential equations numerically by finite element analysis solving problems in heat transfer, reaction diffusion, solid mechanics, fluid mechanics, electromagnetics, groundwater flow, quantum mechanics and more.
- Software for Differential Equations
- PRIDE Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design.
- 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.
- Introduction to ODEs with Mathematica
- 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, ...).
- Math Unit III: More on the derivative and differential equations Exact definition of derivation and calculating the relationship of derivatives of related functions.
- Kevin Brown's Calculus and DiffEq Notes Many topics on differential equations are covered including the Laplace Transform.
- Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses Online course material
- 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.
- Osaka University PDE-Analysis research group. Organises the East Asia Symposium on PDE.
- MGNet Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
- The Heat Equation An interactive page illustrating solutions of the one-dimensional heat equation.
- Differential Equations in Banach Algebras Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal.
- Computational PDEs Unit School of Computing, University of Leeds. Research details, publications, software and resources.
- The Animated Telegraph equation This demonstration illustrates the behaviour of solutions of the telegraph equation
- C*ODE*E Consortium of ODE Experiments. Newsletter, graphics, links
- Differential Equations in Industry and Commerce European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
| Help build the largest human-edited directory on the web. |
| Submit a Site - Open Directory Project - Become an Editor |