• VODE

  • Referenced in 193 articles [sw01005]
  • VODE: A variable-coefficient ODE solver. This paper is concerned with the development ... software package VODE for the numerical solution of (stiff and non-stiff) systems of ordinary...
  • deSolve

  • Referenced in 50 articles [sw04499]
  • daspk and a C-implementation of solvers of the Runge-Kutta family with fixed ... package contains routines designed for solving ODEs resulting from ... that have been converted to ODEs by numerical differencing...
  • Sbvp

  • Referenced in 28 articles [sw13727]
  • Sbvp 1.0 - a matlab solver for singular boundary value problems. We present a MATLAB package ... efficient numerical solution of systems of ODEs with a singularity of the first kind ... solver can also be used for regular problems. The basic solution is computed using collocation ... selection. Here, we analyze some of the numerical aspects relevant for the implementation, describe measures...
  • NodePy

  • Referenced in 4 articles [sw12306]
  • which the basic object is a numerical ODE solver. The idea is to design ... other recursions) rather than being hard-coded. Numerical representation: The most precise representation possible...
  • ODEXPERT

  • Referenced in 9 articles [sw13889]
  • expert system to select numerical solvers for initial value ODE solvers. ODEXPERT is a prototype...
  • ALGLIB

  • Referenced in 14 articles [sw04806]
  • iterative linear solvers, Fast Fourier Transform and many other algorithms (numerical integration, ODEs, statistics, special...
  • EoN

  • Referenced in 3 articles [sw31396]
  • visualizing and animating simulated epidemics. Numerical solvers for ODE models; pair approximation models; effective degree...
  • SOSlib

  • Referenced in 4 articles [sw29331]
  • SOSlib (SBML ODE Solver Library): SOSlib is both a programming library and a command-line ... symbolic and numerical analysis of a system of ordinary differential equations (ODEs) derived from ... sensitivity-enabled ODE solver in the SUNDIALS package is used for numerical integration and sensitivity ... numerical routines, enabling the construction of powerful and efficient analytic applications, hybrid solvers or multi...
  • MOVCOL

  • Referenced in 33 articles [sw07938]
  • resulting ODE system is integrated in time with the DAE solver DASSL developed ... solving time dependent partial differential equations, Appl. Numer. Math...
  • treeVar

  • Referenced in 1 article [sw25557]
  • systems of first-order equations. Most numerical ODE solvers require problems to be written...
  • IDSOLVER

  • Referenced in 3 articles [sw16824]
  • numerical quadrature algorithm combined with an accurate and efficient ODE solver-both within a MATLAB ... integral, and non-linear IDE. The solver performs successive relaxation iterations until convergence is achieved ... tolerance parameter, as described below for several numerical examples. We have found, by solving several...
  • Assimulo

  • Referenced in 5 articles [sw20800]
  • ODE solvers. During the last three decades, a vast variety of methods to numerically solve...
  • DIMSEM

  • Referenced in 4 articles [sw09189]
  • single-eigenvalue methods for the numerical solution of stiff ODEs on parallel computers. This paper ... solution of stiff ordinary differential equations (ODEs) on parallel computers. Although GLMs were introduced ... properties suited for the solution of stiff ODEs on parallel computers. They are strictly diagonally ... with fixed-order versions of the popular solver LSODE on a practical test problem...
  • Zelus

  • Referenced in 4 articles [sw20166]
  • hierarchical automata can be composed arbitrarily with ODEs in the same source code. A dedicated ... paired with an off-the-shelf numeric solver. We show that it is possible...
  • SERK2v3

  • Referenced in 6 articles [sw14473]
  • explicit ordinary differential equations (ODE) solvers for the integration of stiff problems. However, in this ... solve large nonlinear systems associated to ODEs and therefore are especially well-suited ... technique. This procedure improves the numerical results, especially when the data is non-smooth...
  • ODEPACK++

  • Referenced in 2 articles [sw31193]
  • adaptation are typical of many commonly used numerical libraries. We examine the adaptation ... equations, ordinary differential equations (ODE), and differential algebraic equations (DAE) solvers...
  • Polymath

  • Referenced in 3 articles [sw27593]
  • programs allow the user to apply effective numerical analysis techniques during interactive problem solving ... ExcelTM for solution. A POLYMATH ODE_Solver Add-In is included for solving ordinary differential...
  • pyodesys

  • Referenced in 1 article [sw29025]
  • from Python. The numerical integration of systems of ordinary differential equations (ODEs) is very common ... provides a unified interface to some existing solvers. It also provides an interface to represent...
  • rodeo

  • Referenced in 0 articles [sw18476]
  • package rodeo. A Code Generator for ODE-Based Models. Provides an R6 class and several ... which can be passed to a numerical solver. There is direct support for solvers contained...
  • reactingfoam-SCI

  • Referenced in 1 article [sw29520]
  • scheme, and an accurate stable stiff ODE solver with error control. An interface between OpenFOAM ... analytical solutions and literature reported direct numerical calculation results, including those from a diffusion-convection...