
RKC
 Referenced in 126 articles
[sw00808]
 solver for parabolic PDEs. An explicit RungeKuttaChebychev algorithm for parabolic partial differential equations ... remarkable properties of a class of RungeKutta formulas of Chebychev type, proposed almost...

LIMbook
 Referenced in 59 articles
[sw14520]
 basic knowledge of numerical quadrature and RungeKutta methods, this selfcontained book begins with ... line integral methods: the energyconserving RungeKutta methods, also known as Hamiltonian boundary value...

RADAU
 Referenced in 81 articles
[sw01118]
 RADAU5 implicit RungeKutta method of order 5 (Radau IIA) for problems of the form...

deSolve
 Referenced in 68 articles
[sw04499]
 implementation of solvers of the RungeKutta family with fixed or variable time steps...

MIRKDC
 Referenced in 36 articles
[sw07159]
 RungeKutta software defect control for boundary value ODEs. Monoimplicit RungeKutta (MIRK) formulas ... implicit RungeKutta methods, for which the stages are defined explicitly in terms...

FDL3DI
 Referenced in 54 articles
[sw24948]
 incorporating an explicit fourthorder RungeKutta scheme...

pySDC
 Referenced in 33 articles
[sw16754]
 compared to diagonally implicit RungeKutta (DIRK) and implicitexplicit (IMEX) RungeKutta methods...

PMIRKDC
 Referenced in 32 articles
[sw06409]
 PMIRKDC: a parallel monoimplicit RungeKutta code with defect control for boundary value ODEs ... package, MIRKDC, which employs monoimplicit RungeKutta schemes within a defect control algorithm...

elsA
 Referenced in 45 articles
[sw07602]
 equations are integrated either by multistage RungeKutta schemes with implicit residual smoothing, or, which...

SIMSON
 Referenced in 43 articles
[sw13385]
 performed using a third order RungeKutta method for the advective and forcing terms...

SROCK
 Referenced in 42 articles
[sw11792]
 called SROCK (for stochastic orthogonal RungeKutta Chebyshev), are explicit and of strong order...

RADAR5
 Referenced in 41 articles
[sw08709]
 encounted in the implementation of implicit RungeKutta methods are explained, and it is shown...

TRBDF2
 Referenced in 36 articles
[sw03446]
 viewed as an embedded diagonally implicit RungeKutta pair of orders...

GELDA
 Referenced in 33 articles
[sw00331]
 GELDA the BDF methods [1] and RungeKutta schemes [6],[7] are implemented...

RRK_rr
 Referenced in 16 articles
[sw34461]
 Relaxation RungeKutta methods are modifications of RungeKutta methods that enforce conservation, dissipation ... 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...

twpbvp
 Referenced in 25 articles
[sw10052]
 correction scheme based on MonoImplicit RungeKutta methods (MIRK...

EDGE
 Referenced in 25 articles
[sw00228]
 state with an explicit multistage RungeKutta scheme. To accelerate convergence, residual smoothing...

RKSUITE
 Referenced in 17 articles
[sw01067]
 software based on explicit RungeKutta formulas have been developed to replace wellestablished, widely ... Fortran 77 Library RungeKutta codes). The new software has greater functionality than its predecessors...

RAM
 Referenced in 14 articles
[sw18139]
 thirdorder total variation diminishing (TVD) RungeKutta scheme. We have also implemented fourth ... fifthorder RungeKutta time integration schemes for comparison. The implementation of AMR and parallelization ... Riemann solver to work with TVD RungeKutta time integration. We examine the difficulty...

NSC2KE
 Referenced in 21 articles
[sw21215]
 considered as a fourth order RungeKutta solver has been used...