• pySDC

  • Referenced in 27 articles [sw16754]
  • slow dynamics are resolved. The method causes little numerical diffusion and its semidiscrete phase speed ... Runge-Kutta (DIRK) and implicit-explicit (IMEX) Runge-Kutta methods and found to be competitive...
  • SERK2

  • Referenced in 11 articles [sw10426]
  • second-order stabilized explicit Runge-Kutta method for stiff problems. Traditionally, explicit numerical algorithms have ... ODEs with very large dimension. Stabilized Runge-Kutta methods (also called Runge-Kutta-Chebyshev methods ... avoid these difficulties. The Runge-Kutta methods are explicit methods with extended stability domains, usually...
  • ImplicitLNLMethods

  • Referenced in 9 articles [sw23184]
  • Implicit and implicit-explicit strong stability preserving Runge-Kutta methods with high linear order. Strong ... current work we find implicit SSP Runge-Kutta methods with high linear order ... optimization problem for implicit-explicit (IMEX) SSP Runge-Kutta methods and find optimized IMEX ... regions that pair with known explicit SSP Runge-Kutta methods. These methods are then tested...
  • RKC

  • Referenced in 120 articles [sw00808]
  • explicit solver for parabolic PDEs. An explicit Runge-Kutta-Chebychev algorithm for parabolic partial differential ... tested. This method exploits some remarkable properties of a class of Runge-Kutta formulas...
  • S-ROCK

  • Referenced in 41 articles [sw11792]
  • These methods, called S-ROCK (for stochastic orthogonal Runge-Kutta Chebyshev), are explicit ... much more efficient than the standard explicit methods proposed so far for stochastic problems...
  • MIRKDC

  • Referenced in 36 articles [sw07159]
  • implicit Runge-Kutta methods, for which the stages are defined explicitly in terms...
  • FATODE

  • Referenced in 8 articles [sw11044]
  • explicit Runge-Kutta for nonstiff problems, fully implicit Runge-Kutta, singly diagonally implicit Runge-Kutta ... stiff problems. Each family contains several methods with different orders of accuracy; users...
  • SERK2v3

  • Referenced in 7 articles [sw14473]
  • efficient for specific problems. Stabilized explicit Runge-Kutta methods (SERK) are a class of explicit...
  • RRK_rr

  • Referenced in 16 articles [sw34461]
  • Kutta methods are modifications of Runge-Kutta methods that enforce conservation, dissipation, or other solution ... relaxation parameter that multiplies the Runge-Kutta update at each time step. Moreover, other desirable ... applied to both explicit and implicit Runge-Kutta methods and requires only a small modification...
  • Aghora

  • Referenced in 10 articles [sw13971]
  • curved boundaries. High-order explicit and implicit Runge-Kutta methods are used for the time...
  • PIROCK

  • Referenced in 7 articles [sw10253]
  • without noise. A partitioned implicit-explicit orthogonal Runge-Kutta method (PIROCK) is proposed ... diffusion terms are solved by the explicit second order orthogonal Chebyshev method (ROCK2), while...
  • MOLT

  • Referenced in 7 articles [sw34473]
  • found in our early work on the method of lines transpose and successive convolution ... high order explicit strong-stability-preserving (SSP) Runge-Kutta method. Moreover, theoretical investigations...
  • DOP853

  • Referenced in 2 articles [sw12308]
  • THIS IS AN EXPLICIT RUNGE-KUTTA METHOD OF ORDER 8(5,3) DUE TO DORMAND...
  • odeToJava

  • Referenced in 1 article [sw17452]
  • convenient means for general experimentation with computational methods, algorithm prototyping, and visualization and manipulation ... explicit and linearly implicit implicit-explicit Runge-Kutta methods with error and stepsize control...
  • PICLas

  • Referenced in 1 article [sw36414]
  • system is advised by explicit or implicit Runge-Kutta methods in time. Additional emphasis will...
  • ConvexRelaxationRungeKutta

  • Referenced in 1 article [sw34462]
  • Kutta methods are modifications of Runge-Kutta methods that enforce conservation, dissipation, or other solution ... relaxation parameter that multiplies the Runge-Kutta update at each time step. Moreover, other desirable ... applied to both explicit and implicit Runge-Kutta methods and requires only a small modification...
  • butcher

  • Referenced in 5 articles [sw12683]
  • gives the order conditions that a Runge-Kutta method must satisfy ... order. It works for both implicit and explicit methods. The package also calculates and plots...
  • DUNE-FEM-DG

  • Referenced in 2 articles [sw37061]
  • temporal discretization Runge-Kutta methods are used including higher order explicit, diagonally implicit and IMEX...
  • regionally-implicit-dg

  • Referenced in 1 article [sw34688]
  • equations with explicit time-stepping schemes, such as strong stability-preserving Runge-Kutta, suffer from ... Galerkin (RIDG) method to overcome these small time-step restrictions. The RIDG method is based ... extension of the Lax-Wendroff DG method, which previously had been shown to be equivalent ... fully implicit spacetime DG method). The corrector is an explicit method that uses the spacetime...
  • PITT

  • Referenced in 2 articles [sw07739]
  • method for characteristic evolutions in numerical relativity The main task of numerical relativity ... main schemes to write Einstein equations explicitly as differential equations. One is based ... special difference algorithm makes the popular Runge-Kutta method used in Cauchy problem not available...