Analysis of biochemical networks.
Matlab, Maple and C/C++ applications of Linear Algebra in many domains, including curves in many dimensions, Cryptography and Chaos etc.
Simultaneously fit SAS data with polydisperse core-shell-shell spheres
Keywords: -simultaneously fit several SAXS and SANS data sets with polydisperse (Schultz-Zimm or Gaussian distribution f(R)) spherical core-shell-shell nanoparticles -analytical expressions are used for from factor F(Q) and its integral over f(R), no numerical integration required -absolute units -Mathematica is required via console (MathKernel) -Mathematica's local and global optimizers (simulated annealing, differential evolution, Nelder-Mead, ...) can be used -range for fit parameters and further constraints between fit parameters are possible -Monodisperse(!) hard sphere structure factor can be used, too -long computation times (depending on problem size and amount of constraints) from hours to a few days are possible -non-parallelized code
Jumblino is the open source aircraft development project, targeting the complete development of a community aircraft. Complete community control of the aircraft parametrics will lead to the etraordinary development.
A simplified circuit analysis package for Mathematica
This tool allows users to perform circuit analysis within Mathematica by automating the chores of creating node equations, device equations and solving them for the various variables of interest. The package implements a SPICE like netlist with support for common SPICE elements and can perform symbolic analyses such as input impedance, transfer functions, noise analysis/contributions, and transfer function approximation. The goal of this project is not to create a full fledged circuit simulator within Mathematica (akin to the very powerful Analog Insydes), but rather to provide a tool for Mathematica users to quickly and efficiently explore electrical circuits using a library of primitives.
Mathematica package to handle Keplerian and perturbed orbits
Orbits is a Mathematica package to handle Keplerian and perturbed orbits in an easy and flexible way. It has been created to use in an educational environment.
Taylor series Integrator for Differential Equations
Taylor series Integrator for Differential EquationS. This software is developed by Profs. A. Abad, R. Barrio, F. Blesa and M. Rodriguez, (GME, University of Zaragoza, Spain). It consists on a C (Fortran) library, libTIDES, and a Mathematica package, MathTIDES. (MathTIDES requires Mathematica version >= 7.0) . Basic references: * A. 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. Math. Comput. 163 (2), pp. 525--545 * R. Barrio, 2006. Sensitivity analysis of ODE's/DAE's using the Taylor series method, SIAM J. on Scientific Computing 27 (6), pp. 1929--1947
Maximum packing densities for individual, polydisperse (diameter), ellipitic platelets and stacks of them (max 5 platelets per stack implemented). Size fractionating for stacks (platelets with diameters below a cut-off diameter remain as individual platelets all others assemble in stacks) can be included. Considers only hard interactions and assumes spherical exclusion volumes.