• CWRESX

  • Referenced in 37 articles [sw12904]
  • moving-grid equations. These routines are combined in an enveloping routine SKMRES, which delivers ... complete DAE system. To solve this stiff, nonlinear DAE system, a robust and efficient time...
  • SERK2v3

  • Referenced in 5 articles [sw14473]
  • SERK2v3: Solving mildly stiff nonlinear partial differential equations. Multidimensional nonlinear parabolic partial differential equations (PDEs ... explicit ordinary differential equations (ODE) solvers for the integration of stiff problems. However, in this...
  • Taylor

  • Referenced in 71 articles [sw10816]
  • initial value problems of ordinary differential equations (ODEs). The main goal is to present ... instance, it is not suitable for stiff systems...
  • DIMSEM

  • Referenced in 4 articles [sw09189]
  • intended for the solution of stiff ordinary differential equations (ODEs) on parallel computers. Although GLMs ... several properties suited for the solution of stiff ODEs on parallel computers. They are strictly ... Newton iteration used to solve the nonlinear equations arising from the implicitness of the formula ... rather than stability considerations imposed by the stiffness of the problem. An introduction to GLMs...
  • GEARS

  • Referenced in 4 articles [sw00329]
  • solution of sparse, stiff ordinary differential equations...
  • SensPVODE

  • Referenced in 4 articles [sw12854]
  • general-purpose ordinary differential equation (ODE) solvers for stiff and nonstiff initial-value problems. SensPVODE...
  • EPIMK2

  • Referenced in 1 article [sw00241]
  • existing algorithms for the solution of stiff differential equations may be developed through a transformation ... original differential equation, to develop a less- stiff form of the original differential equation ... vectors of length n. By stiffness, we mean the property that some eigenvalues...
  • LSODA

  • Referenced in 6 articles [sw01074]
  • numerical solution of stiff and nonstiff systems of ordinary differential equations with an automatic choice...
  • CARP-CG

  • Referenced in 8 articles [sw00105]
  • double sweep on the equations of a linear system, using a fixed relaxation parameter. CGMN ... some stiff linear systems derived from convection dominated elliptic partial differential equations. The results indicate...
  • deTestSet

  • Referenced in 21 articles [sw06062]
  • test set for stiff initial value problem solvers in the open source software R: Package ... challenging test problems written as ordinary differential equations, differential algebraic equations of index...
  • CVODES

  • Referenced in 34 articles [sw04946]
  • CVODES is a solver for stiff and nonstiff ODE systems (initial value problem) given ... integration in time of systems of differential equations dependent on the solution of the original...
  • PVODE

  • Referenced in 8 articles [sw04325]
  • differential equations on parallel machines. It contains methods for the solution of both stiff...
  • Nahoon

  • Referenced in 1 article [sw34078]
  • ascl:1905.021) to solve the coupled stiff differential equations. The solver computes the chemical evolution...
  • IRKC

  • Referenced in 18 articles [sw00452]
  • time integration of systems of partial differential equations (PDEs) of diffusion-reaction type for which ... that the implicit terms, originating from the stiff reactions, are not coupled over the spatial...
  • ERENA

  • Referenced in 1 article [sw18299]
  • Jacobian-free integration method for ordinary differential equations of chemical kinetics. We herein propose ... algorithm (ERENA) to treat the stiff ordinary differential equations (ODEs) of chemical kinetics. The formulation ... existing popular explicit and implicit methods for stiff ODEs such as VODE, MTS, and CHEMEQ2...
  • PRES

  • Referenced in 1 article [sw09253]
  • ordinary differential equations. Because rate equations are often stiff and nonlinear they are solved with ... solution of the photon transport equations a special Runge-Kutta method is developed...
  • ParSODES

  • Referenced in 1 article [sw13383]
  • netlib.org/ode: large systems of stiff ordinary differential equations; multiimplicit Runge-Kutta with ”across...
  • EPIC-2

  • Referenced in 5 articles [sw09034]
  • equations of motion are integrated directly rather than through the traditional stiffness matrix approach. Triangular...
  • AEGIS

  • Referenced in 10 articles [sw02688]
  • independent solutions of the Euler–Lagrange equations solved by the adaptive shooting. A multiple-region ... overcome the numerical difficulty associated with the stiff nature of the independent solutions. Benchmarks with...
  • HiPer SBTK

  • Referenced in 1 article [sw12936]
  • processors and accomplished billions of stiff ordinary differential equation simulations. This work opens the door...