
pySDC
 Referenced in 27 articles
[sw16754]
 slow dynamics are resolved. The method causes little numerical diffusion and its semidiscrete phase speed ... RungeKutta (DIRK) and implicitexplicit (IMEX) RungeKutta methods and found to be competitive...

SERK2
 Referenced in 11 articles
[sw10426]
 secondorder stabilized explicit RungeKutta method for stiff problems. Traditionally, explicit numerical algorithms have ... ODEs with very large dimension. Stabilized RungeKutta methods (also called RungeKuttaChebyshev methods ... avoid these difficulties. The RungeKutta methods are explicit methods with extended stability domains, usually...

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

RKC
 Referenced in 120 articles
[sw00808]
 explicit solver for parabolic PDEs. An explicit RungeKuttaChebychev algorithm for parabolic partial differential ... tested. This method exploits some remarkable properties of a class of RungeKutta formulas...

SROCK
 Referenced in 41 articles
[sw11792]
 These methods, called SROCK (for stochastic orthogonal RungeKutta Chebyshev), are explicit ... much more efficient than the standard explicit methods proposed so far for stochastic problems...

MIRKDC
 Referenced in 36 articles
[sw07159]
 implicit RungeKutta methods, for which the stages are defined explicitly in terms...

FATODE
 Referenced in 8 articles
[sw11044]
 explicit RungeKutta for nonstiff problems, fully implicit RungeKutta, singly diagonally implicit RungeKutta ... 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 RungeKutta methods (SERK) are a class of explicit...

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

Aghora
 Referenced in 10 articles
[sw13971]
 curved boundaries. Highorder explicit and implicit RungeKutta methods are used for the time...

PIROCK
 Referenced in 7 articles
[sw10253]
 without noise. A partitioned implicitexplicit orthogonal RungeKutta 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 strongstabilitypreserving (SSP) RungeKutta method. Moreover, theoretical investigations...

DOP853
 Referenced in 2 articles
[sw12308]
 THIS IS AN EXPLICIT RUNGEKUTTA 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 implicitexplicit RungeKutta methods with error and stepsize control...

PICLas
 Referenced in 1 article
[sw36414]
 system is advised by explicit or implicit RungeKutta methods in time. Additional emphasis will...

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

butcher
 Referenced in 5 articles
[sw12683]
 gives the order conditions that a RungeKutta method must satisfy ... order. It works for both implicit and explicit methods. The package also calculates and plots...

DUNEFEMDG
 Referenced in 2 articles
[sw37061]
 temporal discretization RungeKutta methods are used including higher order explicit, diagonally implicit and IMEX...

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...

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 RungeKutta method used in Cauchy problem not available...