
SERK2
 Referenced in 11 articles
[sw10426]
 SERK2v2: A new secondorder stabilized explicit RungeKutta method for stiff problems. Traditionally, explicit ... ordinary differential equations (ODEs) due to their stability. Implicit schemes are usually very expensive when ... large dimension. Stabilized RungeKutta methods (also called RungeKuttaChebyshev methods) were proposed ... these difficulties. The RungeKutta methods are explicit methods with extended stability domains, usually along...

SERK2v3
 Referenced in 7 articles
[sw14473]
 explicit RungeKutta methods (SERK) are a class of explicit methods with extended stability domains...

ImplicitLNLMethods
 Referenced in 9 articles
[sw23184]
 Implicit and implicitexplicit strong stability preserving RungeKutta methods with high linear order. Strong ... known that implicit SSP RungeKutta methods exist only up to sixth order; however ... implicitexplicit (IMEX) SSP RungeKutta methods and find optimized IMEX SSP RungeKutta pairs ... large linear stability regions that pair with known explicit SSP RungeKutta methods. These methods...

SROCK
 Referenced in 41 articles
[sw11792]
 These methods, called SROCK (for stochastic orthogonal RungeKutta Chebyshev), are explicit ... strong order 1 and possess large stability domains in the meansquare 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 strongstabilitypreserving (SSP) RungeKutta 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 RungeKutta methods that enforce conservation, dissipation, or other solution ... RungeKutta update at each time step. Moreover, other desirable stability (such as strong stability ... applied to both explicit and implicit RungeKutta methods and requires only a small modification...

pySDC
 Referenced in 27 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 RungeKutta (DIRK) and implicitexplicit (IMEX) RungeKutta methods...

PIROCK
 Referenced in 7 articles
[sw10253]
 noise. A partitioned implicitexplicit orthogonal RungeKutta 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...

DUNEFEMDG
 Referenced in 2 articles
[sw37061]
 bases stabilization for convection dominated PDEs. For the temporal discretization RungeKutta methods are used ... including higher order explicit, diagonally implicit and IMEX schemes. We discuss asynchronous communication, shared memory...

regionallyimplicitdg
 Referenced in 1 article
[sw34688]
 equations with explicit timestepping schemes, such as strong stabilitypreserving RungeKutta, suffer from ... Galerkin (RIDG) method to overcome these small timestep restrictions. The RIDG method is based ... extension of the LaxWendroff 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 RungeKutta methods that enforce conservation, dissipation, or other solution ... RungeKutta update at each time step. Moreover, other desirable stability (such as strong stability ... applied to both explicit and implicit RungeKutta methods and requires only a small modification...

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

Expokit
 Referenced in 198 articles
[sw00258]
 Expokit provides a set of routines aimed at...

FIAT
 Referenced in 40 articles
[sw00287]
 Algorithm 839: FIAT, a new paradigm for computing...

Gmsh
 Referenced in 720 articles
[sw00366]
 Gmsh is a 3D finite element grid generator...

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

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

LAPACK
 Referenced in 1695 articles
[sw00503]
 LAPACK is written in Fortran 90 and provides...

M3RK
 Referenced in 11 articles
[sw00533]
 Algorithm 553: M3RK, an explicit time integrator for...