• SERK2

  • Referenced in 12 articles [sw10426]
  • SERK2v2: A new second-order stabilized explicit Runge-Kutta method for stiff problems. Traditionally, explicit ... ordinary differential equations (ODEs) due to their stability. Implicit schemes are usually very expensive when ... large dimension. Stabilized Runge-Kutta methods (also called Runge-Kutta-Chebyshev methods) were proposed ... these difficulties. The Runge-Kutta methods are explicit methods with extended stability domains, usually along...
  • SERK2v3

  • Referenced in 8 articles [sw14473]
  • explicit Runge-Kutta methods (SERK) are a class of explicit methods with extended stability domains...
  • ImplicitLNLMethods

  • Referenced in 10 articles [sw23184]
  • Implicit and implicit-explicit strong stability preserving Runge-Kutta methods with high linear order. Strong ... known that implicit SSP Runge-Kutta methods exist only up to sixth order; however ... implicit-explicit (IMEX) SSP Runge-Kutta methods and find optimized IMEX SSP Runge-Kutta pairs ... large linear stability regions that pair with known explicit SSP Runge-Kutta methods. These methods...
  • S-ROCK

  • Referenced in 42 articles [sw11792]
  • These methods, called S-ROCK (for stochastic orthogonal Runge-Kutta Chebyshev), are explicit ... strong order 1 and possess large stability domains in the mean-square sense. For mean ... much more efficient than the standard explicit methods proposed so far for stochastic problems...
  • 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 ... kernel based formulation combined with an explicit SSP method indicate that the combined scheme...
  • RRK_rr

  • Referenced in 16 articles [sw34461]
  • Kutta methods are modifications of Runge-Kutta methods that enforce conservation, dissipation, or other solution ... Runge-Kutta update at each time step. Moreover, other desirable stability (such as strong stability ... applied to both explicit and implicit Runge-Kutta methods and requires only a small modification...
  • pySDC

  • Referenced in 33 articles [sw16754]
  • retained. Stability function and discrete dispersion relation are derived and show that the method ... slow dynamics are resolved. The method causes little numerical diffusion and its semidiscrete phase speed ... compared to diagonally implicit Runge-Kutta (DIRK) and implicit-explicit (IMEX) Runge-Kutta methods...
  • DUNE-FEM-DG

  • Referenced in 3 articles [sw37061]
  • bases stabilization for convection dominated PDEs. For the temporal discretization Runge-Kutta methods are used ... including higher order explicit, diagonally implicit and IMEX schemes. We discuss asynchronous communication, shared memory...
  • PIROCK

  • Referenced in 7 articles [sw10253]
  • noise. A partitioned implicit-explicit orthogonal Runge-Kutta method (PIROCK) is proposed for the time ... solved by the explicit second order orthogonal Chebyshev method (ROCK2), while the stiff reaction terms ... advection and noise terms (solved explicitly) are integrated in the algorithm as finishing procedures ... diffusion, reaction, advection and noise) can be stabilized in the PIROCK method. The method, implemented...
  • 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...
  • ConvexRelaxationRungeKutta

  • Referenced in 1 article [sw34462]
  • Kutta methods are modifications of Runge-Kutta methods that enforce conservation, dissipation, or other solution ... Runge-Kutta update at each time step. Moreover, other desirable stability (such as strong stability ... applied to both explicit and implicit Runge-Kutta methods and requires only a small modification...
  • EDGE

  • Referenced in 21 articles [sw00228]
  • Edge is a CFD flow solver for unstructured...
  • Expokit

  • Referenced in 200 articles [sw00258]
  • Expokit provides a set of routines aimed at...
  • FIAT

  • Referenced in 41 articles [sw00287]
  • Algorithm 839: FIAT, a new paradigm for computing...
  • Gmsh

  • Referenced in 767 articles [sw00366]
  • Gmsh is a 3D finite element grid generator...
  • Hopscotch

  • Referenced in 44 articles [sw00413]
  • Hopscotch: a fast second order partial differential equations...
  • hypre

  • Referenced in 329 articles [sw00426]
  • hypre is a software library for the solution...
  • IRKC

  • Referenced in 20 articles [sw00452]
  • The Fortran 90 code IRKC is intended for...
  • LAPACK

  • Referenced in 1702 articles [sw00503]
  • LAPACK is written in Fortran 90 and provides...