• RKC

  • Referenced in 104 articles [sw00808]
  • solver for parabolic PDEs. An explicit Runge-Kutta-Chebychev algorithm for parabolic partial differential equations ... remarkable properties of a class of Runge-Kutta formulas of Chebychev type, proposed almost...
  • RADAU

  • Referenced in 73 articles [sw01118]
  • RADAU5 implicit Runge-Kutta method of order 5 (Radau IIA) for problems of the form...
  • MIRKDC

  • Referenced in 35 articles [sw07159]
  • Runge-Kutta software defect control for boundary value ODEs. Mono-implicit Runge-Kutta (MIRK) formulas ... implicit Runge-Kutta methods, for which the stages are defined explicitly in terms...
  • deSolve

  • Referenced in 44 articles [sw04499]
  • implementation of solvers of the Runge-Kutta family with fixed or variable time steps...
  • PMIRKDC

  • Referenced in 31 articles [sw06409]
  • PMIRKDC: a parallel mono-implicit Runge-Kutta code with defect control for boundary value ODEs ... package, MIRKDC, which employs mono-implicit Runge-Kutta schemes within a defect control algorithm...
  • FDL3DI

  • Referenced in 43 articles [sw24948]
  • incorporating an explicit fourth-order Runge-Kutta scheme...
  • LIMbook

  • Referenced in 29 articles [sw14520]
  • basic knowledge of numerical quadrature and Runge-Kutta methods, this self-contained book begins with ... line integral methods: the energy-conserving Runge-Kutta methods, also known as Hamiltonian boundary value...
  • S-ROCK

  • Referenced in 35 articles [sw11792]
  • called S-ROCK (for stochastic orthogonal Runge-Kutta Chebyshev), are explicit and of strong order...
  • SIMSON

  • Referenced in 35 articles [sw13385]
  • performed using a third order Runge-Kutta method for the advective and forcing terms...
  • GELDA

  • Referenced in 33 articles [sw00331]
  • GELDA the BDF methods [1] and Runge-Kutta schemes [6],[7] are implemented...
  • pySDC

  • Referenced in 22 articles [sw16754]
  • compared to diagonally implicit Runge-Kutta (DIRK) and implicit-explicit (IMEX) Runge-Kutta methods...
  • elsA

  • Referenced in 32 articles [sw07602]
  • equations are integrated either by multistage Runge-Kutta schemes with implicit residual smoothing, or, which...
  • RADAR5

  • Referenced in 30 articles [sw08709]
  • encounted in the implementation of implicit Runge-Kutta methods are explained, and it is shown...
  • TR-BDF2

  • Referenced in 26 articles [sw03446]
  • viewed as an embedded diagonally implicit Runge-Kutta pair of orders...
  • RKSUITE

  • Referenced in 16 articles [sw01067]
  • software based on explicit Runge-Kutta formulas have been developed to replace well-established, widely ... Fortran 77 Library Runge-Kutta codes). The new software has greater functionality than its predecessors...
  • twpbvp

  • Referenced in 21 articles [sw10052]
  • correction scheme based on Mono-Implicit Runge-Kutta methods (MIRK...
  • NSC2KE

  • Referenced in 20 articles [sw21215]
  • considered as a fourth order Runge-Kutta solver has been used...
  • DESIRE

  • Referenced in 12 articles [sw09193]
  • DESIRE: Diagonally extended singly implicit Runge-Kutta effective order methods. In the last approximatly ... years many classes of singly-implicit Runge-Kutta methods (SIRK) have been developed. More general ... acronym DESIRE (diagonally extended singly-implicit Runge-Kutta effective order methods). The idea...
  • EDGE

  • Referenced in 19 articles [sw00228]
  • state with an explicit multi-stage Runge-Kutta scheme. To accelerate convergence, residual smoothing...
  • RAM

  • Referenced in 11 articles [sw18139]
  • third-order total variation diminishing (TVD) Runge-Kutta scheme. We have also implemented fourth ... fifth-order Runge-Kutta time integration schemes for comparison. The implementation of AMR and parallelization ... Riemann solver to work with TVD Runge-Kutta time integration. We examine the difficulty...