Search Results for "taylor"

smib is one of the smallest and simplest computer algebra system in the world, but simple does not mean simplistic. Using smib you can explore many branches of mathematics (e.g. number theory, algebra, calculus, numerical analysis, differential geometry, probability and stochastic calculus) and also some physics (e.g. electromagnetism and quantum mechanics).. By simple you can understand easy to program (smib is a dynamically typed language, with strong affinity to recursivity, programs...

Program to generate a program to numerically solve either a single ordinary differential equation or a system of them.It is a Ruby program, now called omnisode, which generates either Ruby, C, C++, Maple or Maxima code. Code can be generated for all languages under Linux. Ruby can be generated under Windows. All can be generated under cygwin, but would need work on execution of Maple. Omnisode itself is Ruby, which is needed in all cases to generate the program.

...The space discretization is based on Finite Element Method (FEM) using an approximately uniform triangular mesh. The two choices of FE spaces are offered, these are of the so called MINI-element and of the Taylor-Hood element. The first element consists of continuous piecewise linears with a cubic bubble function for the velocity field, and the second of continuous piecewise quadratics for the same. The pressure field is approximated via piecewise linears in both cases. Both stationary and time-dependent regimes supported. Elementary graphing tools are provided. ...

...Abad, R. Barrio, F. Blesa, M. Rodriguez, 2012. Algorithm 924: TIDES, a Taylor series Integrator for Differential EquationS, ACM TOMS. 39, no. 1, art. 5. (Main reference) * A. Abad, R. Barrio, F. Blesa, M. Rodriguez, 2011. TIDES tutorial: Integrating ODEs by using the Taylor Series Method., Monografías de la Academia de Ciencias de la Universidad de Zaragoza. 36, pp. 1-116. * R. Barrio, 2005. Performance of the Taylor series method for ODEs/DAEs, Appl.