• Octave

  • Referenced in 304 articles [sw00646]
  • extensive tools for solving common numerical linear algebra problems, finding the roots of nonlinear equations ... polynomials, and integrating ordinary differential and differential-algebraic equations. It is easily extensible and customizable...
  • AUTO

  • Referenced in 942 articles [sw01059]
  • continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel, with subsequent ... limited bifurcation analysis of algebraic systems of the form ... systems of ordinary differential equations of the form...
  • Modelica

  • Referenced in 124 articles [sw04352]
  • Modelica are mathematically described by differential, algebraic and discrete equations. No particular variable needs...
  • REDUCE

  • Referenced in 746 articles [sw00789]
  • interest to mathematicians, scientists and engineers. Computer algebra system (CAS). It has been produced ... differentiation and integration; factorization of polynomials; facilities for the solution of a variety of algebraic...
  • deSolve

  • Referenced in 64 articles [sw04499]
  • equations (ODE), partial differential equations (PDE), differential algebraic equations (DAE), and delay differential equations ... partial differential equations (PDE), of differential algebraic equations (DAE), and of delay differential equations...
  • GPOPS

  • Referenced in 89 articles [sw05853]
  • desired to optimize systems defined by differential-algebraic equations). GPOPS-II implements the new class...
  • FEniCS

  • Referenced in 806 articles [sw04314]
  • features for automated, efficient solution of differential equations, including automated solution of variational problems, automated ... library of finite elements, high performance linear algebra and many more...
  • MEBDF

  • Referenced in 85 articles [sw00567]
  • initial value ordinary differential equations and differential-algebraic equations is described. The algorithm is constructed ... embedding a standard sparse linear algebraic equation solver into a suitably modified MEBDF code ... numerical solution of time dependent partial differential equations, particularly in two or more space dimensions...
  • AIDA

  • Referenced in 58 articles [sw11535]
  • Maple Package: Algebraic Invariants and their Differential Algebras. The AIDA package will be a collection ... routines to explore algebra of differential invariants: computation of generating sets of invariants, rewritings, syzygies...
  • CasADi

  • Referenced in 55 articles [sw06437]
  • CasADi: A symbolic package for automatic differentiation and optimal control. We present CasADi, a free ... hence more flexible, than that of algebraic modeling languages such as AMPL or GAMS ... minimalistic computer algebra system (CAS) implementing automatic differentiation in eight different flavors. Similar to algebraic ... programming, quadratic programming and integration of differential-algebraic equations. CasADi is implemented in self-contained...
  • DAISY

  • Referenced in 49 articles [sw09059]
  • describe a software tool implementing a differential algebra algorithm to perform parameter identifiability analysis ... mathematical tools. The DAISY (Differential Algebra for Identifiability of SYstems) software will potentially be useful...
  • DifferentialEquations.jl

  • Referenced in 55 articles [sw23910]
  • ordinary differential equations, stochastic differential equations, algebraic differential equations, delay differential equations, hybrid differential equations...
  • Chebfun

  • Referenced in 412 articles [sw05897]
  • linear algebra notions like the QR decomposition and the SVD, and solves ordinary differential equations...
  • DIFFALG

  • Referenced in 62 articles [sw08613]
  • provides tools for handling systems of algebraic differential equations--either ordinary or partial differential equations...
  • DASPK 3.0

  • Referenced in 36 articles [sw04288]
  • sensitivity analysis of large-scale differential algebraic systems. The authors describe the new software package ... sensitivity analysis of large-scale differential algebraic equations. They outline the underlying algorithms ... results of some numerical experiments on differential algebraic equations arising from the discretisation of partial...
  • DAETS

  • Referenced in 37 articles [sw12535]
  • Solving differential algebraic equations by Taylor series. III: The DAETs code. The authors have developed ... solving numerically an initial-value problem differential algebraic equation (DAE) that can be of high...
  • Janet

  • Referenced in 37 articles [sw07776]
  • works with left modules over differential algebras defined over differential fields of characteristic zero which ... vice versa. For the Weyl algebra representing ordinary differential operators in characteristic zero whose coefficients ... entries in this Weyl algebra. Among the orderings for differential monomials which are available...
  • GELDA

  • Referenced in 33 articles [sw00331]
  • numerical solution of linear differential-algebraic equations (DAEs) with variable coefficients of arbitrary index ... called strangeness index, which generalizes the differentiation index ([2],[3],[5]]) for systems with undetermined ... linear quadratic optimal control problems and differential-algebraic Riccati equations ... general DAEs require the system to have differentiation index not higher than one, which corresponds...
  • ROS3P

  • Referenced in 45 articles [sw00813]
  • ordinary differential equations. II: Stiff and differential-algebraic problems...
  • ATOMFT

  • Referenced in 41 articles [sw09274]
  • value problems for ordinary differential and differential-algebraic equations. In the paper applications of this...