• RKC

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

• LIMbook

• Referenced in 59 articles [sw14520]
• basic knowledge of numerical quadrature and Runge-Kutta methods, this self-contained book begins with ... line integral methods: the energy-conserving Runge-Kutta methods, also known as Hamiltonian boundary value...

• RADAU

• Referenced in 81 articles [sw01118]
• RADAU5 implicit Runge-Kutta method of order 5 (Radau IIA) for problems of the form...

• deSolve

• Referenced in 68 articles [sw04499]
• implementation of solvers of the Runge-Kutta family with fixed or variable time steps...

• MIRKDC

• Referenced in 36 articles [sw07159]
• Runge-Kutta software defect control for boundary value ODEs. Mono-implicit Runge-Kutta (MIRK) formulas ... implicit Runge-Kutta methods, for which the stages are defined explicitly in terms...

• FDL3DI

• Referenced in 54 articles [sw24948]
• incorporating an explicit fourth-order Runge-Kutta scheme...

• pySDC

• Referenced in 33 articles [sw16754]
• compared to diagonally implicit Runge-Kutta (DIRK) and implicit-explicit (IMEX) Runge-Kutta methods...

• PMIRKDC

• Referenced in 32 articles [sw06409]
• PMIRKDC: a parallel mono-implicit Runge-Kutta code with defect control for boundary value ODEs ... package, MIRKDC, which employs mono-implicit Runge-Kutta schemes within a defect control algorithm...

• elsA

• Referenced in 45 articles [sw07602]
• equations are integrated either by multistage Runge-Kutta schemes with implicit residual smoothing, or, which...

• SIMSON

• Referenced in 43 articles [sw13385]
• performed using a third order Runge-Kutta method for the advective and forcing terms...

• S-ROCK

• Referenced in 42 articles [sw11792]
• called S-ROCK (for stochastic orthogonal Runge-Kutta Chebyshev), are explicit and of strong order...

• RADAR5

• Referenced in 41 articles [sw08709]
• encounted in the implementation of implicit Runge-Kutta methods are explained, and it is shown...

• TR-BDF2

• Referenced in 36 articles [sw03446]
• viewed as an embedded diagonally implicit Runge-Kutta pair of orders...

• GELDA

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

• RRK_rr

• Referenced in 16 articles [sw34461]
• Relaxation Runge-Kutta methods are modifications of Runge-Kutta methods that enforce conservation, dissipation ... 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...

• twpbvp

• Referenced in 25 articles [sw10052]
• correction scheme based on Mono-Implicit Runge-Kutta methods (MIRK...

• EDGE

• Referenced in 25 articles [sw00228]
• state with an explicit multi-stage Runge-Kutta scheme. To accelerate convergence, residual smoothing...

• RKSUITE

• Referenced in 17 articles [sw01067]
• software based on explicit Runge-Kutta formulas have been developed to replace well-established, widely ... Fortran 77 Library Runge-Kutta codes). The new software has greater functionality than its predecessors...

• RAM

• Referenced in 14 articles [sw18139]
• third-order total variation diminishing (TVD) Runge-Kutta scheme. We have also implemented fourth ... fifth-order Runge-Kutta time integration schemes for comparison. The implementation of AMR and parallelization ... Riemann solver to work with TVD Runge-Kutta time integration. We examine the difficulty...

• NSC2KE

• Referenced in 21 articles [sw21215]
• considered as a fourth order Runge-Kutta solver has been used...