Search Results for "runge kutta"

...These expression graphs, encapsulated in Function objects, can be evaluated in a virtual machine or exported to stand-alone C code. Initial value problems in ordinary or differential-algebraic equations (ODE/DAE) can be calculated using explicit or implicit Runge-Kutta methods or interfaces to IDAS/CVODES from the SUNDIALS suite. Derivatives are calculated using sensitivity equations, up to arbitrary order.

A practical tool (for students and engineers) to foresee the result of calculus exercises. Calculation and visualization numerical methods for nonlinear equation, ODE, integration, linear system, polynomial fitting,.....

...The underlying numerical solution method belongs to the family of unsplit conservative finite volume TVD schemes. The method is 2nd order accurate in space and uses high order Runge-Kutta and multistep schemes for time evolution. In addition to the pure advection code several source terms have been implemented including viscous diffusion and gravitational acceleration. Fosite is written with object-oriented patterns in Fortran 2003 and follows the Structure of Arrays (SoA) layout, operating on generic field datatypes. ...

Open Source MPS (OSMPS) is a collection of numerical routines for performing tensor network algorithms to simulate entangled, 1D many-body quantum systems. Our applications reach from ground state and excited states for statics to the dynamics of time-dependent Hamiltonians. We offer various time evolution methods with an emphasis on the support of long-range interactions through the matrix product state formalism. For more algorithms, see the list of features below. Please cite "M. L....

...For inspiration see the document (ACMGIS_2009_Vance.pdf) Integrating particle tracking models into a GIS for analysis and display of environmental phenomena, Tiffany Vance, Sharon Mesick, Scott Cross (2009). The software uses 4th order Runge Kutta, with a clever interpolation scheme based on irregular triangular mesh which can be adapted to any hydrodynamic model gridding method, from finite elements to Arakawa C. Although some small work needs to be done to implement each grid method. It reads netcdf model output and can be pointed at OpenDAP servers for the data.

...The model used in the application is based on two significant papers: 1.1997 Pablo Umana, James E.Bailey A Mathematical Model of N-linked Glycoform Biosynthesis. 2.2005 Frederick J.Krambeck, Michael J.Betenbaugh A Mathematical Model of N-linked Glycosylation. The application allow to simulate the network in dynamic form with various ODE solvers(Euler, Runge-Kutta etc). Genetic Algorithm is used to adjust the kinetic parameters of Michaelis-Menten equations in glycosylation reaction network. A dynamic plot is supplied to show the value of mole amout and mole fraction of various glycoform. Thanks to Alexey Balakin and Alessandro Presta. Alexey Balakin supply mathgl(https://sourceforge.net/projects/mathgl) that make the implementation of dynamic plot in this application easily. ...

Physical simulation of particle movements. The computer program SphereSim simulates and animates the behavior and the movement of particles in a space. By forces (such as gravity in a particular direction and between the particles, repulsion of the particles against each other and from the walls, Lennard-Jones-Potential between particles) different physical effects in particle groups are calculated and shown, such as the Brownian motion. The application uses the programming language C++...

...PyParticles as a forces models implements Gravity, spring, constant force and electrostatic and the user defined vector field force. As a integrations method it includes Euler, Midpoint, Runge Kutta, Störmer Verlet and Leap frog.

CheMecher is a fully-featured chemical simulator that supports an arbitrary number of reaction steps and chemical species. Uses the Runge-Kutta algorithm for numeric solutions.

LibNav is a library providing general algorithms for navigation and positioning. It includes datum conversions, reference systems conversions, vector and matrix operations, Least-Mean-Squares, Kalman Filter, Runge-Kutta, statistical tools and more.

Graph3 integrates with the TI-83+ OS to add new dimensions to the calculator's graphing abilities. Graph 3D functions, including rotation and hidden surface plots; or graph differential equations, complete with Runge-Kutta method, slope fields, and more.