• 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 ... ODEs with very large dimension. Stabilized Runge-Kutta methods (also called Runge-Kutta-Chebyshev methods ... these difficulties. The Runge-Kutta methods are explicit methods with extended stability domains, usually along...
  • 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 ... methods and find optimized IMEX SSP Runge-Kutta pairs that have high linear order ... large linear stability regions that pair with known explicit SSP Runge-Kutta methods. These methods...
  • S-ROCK

  • Referenced in 42 articles [sw11792]
  • Runge-Kutta Chebyshev), are explicit and of strong order 1 and possess large stability domains...
  • SERK2v3

  • Referenced in 8 articles [sw14473]
  • very efficient for specific problems. Stabilized explicit Runge-Kutta methods (SERK) are a class...
  • RRK_rr

  • Referenced in 16 articles [sw34461]
  • multiplies the Runge-Kutta update at each time step. Moreover, other desirable stability (such ... strong stability preservation) and efficiency (such as low storage requirements) properties are preserved. The technique ... applied to both explicit and implicit Runge-Kutta methods and requires only a small modification...
  • TR-BDF2

  • Referenced in 33 articles [sw03446]
  • viewed as an embedded diagonally implicit Runge-Kutta pair of orders ... detailed inspection yields new results on stability, continuous extension, implementation and on improved local error...
  • MOLT

  • Referenced in 7 articles [sw34473]
  • high order explicit strong-stability-preserving (SSP) Runge-Kutta method. Moreover, theoretical investigations...
  • FDL3DI

  • Referenced in 54 articles [sw24948]
  • point interpolation-differentiation strategy. For numerical stability, up to tenth-order filtering schemes are developed ... incorporating an explicit fourth-order Runge-Kutta scheme...
  • Rk-opt

  • Referenced in 9 articles [sw17497]
  • packages: RK-coeff-opt: Find optimal Runge-Kutta method coefficients, for a prescribed order ... number of stages. am_rad-opt: Find stability functions with optimal radius of absolute monotonicity ... multistep and multistage methods. polyopt: Find optimal stability polynomials of a given degree and order ... analyzing or computing various properties of Runge-Kutta methods. For a much more extensive package...
  • ALPACA

  • Referenced in 1 article [sw42051]
  • WENO/T-ENO, Riemann solvers (complete/incomplete), strong-stability preserving Runge-Kutta time integration schemes, level-set methods...
  • pySDC

  • Referenced in 33 articles [sw16754]
  • rate of the nonsplit version is retained. Stability function and discrete dispersion relation are derived ... compared to diagonally implicit Runge-Kutta (DIRK) and implicit-explicit (IMEX) Runge-Kutta methods...
  • regionally-implicit-dg

  • Referenced in 1 article [sw34688]
  • stepping schemes, such as strong stability-preserving Runge-Kutta, suffer from time-step restrictions that ... With this modification we show that the stability is greatly enhanced; in particular, we show...
  • Irksome

  • Referenced in 2 articles [sw41125]
  • While implicit Runge-Kutta (RK) methods possess high order accuracy and important stability properties, implementation ... obtain UFL expressions for the coupled Runge-Kutta stage equations at each time step. Irksome...
  • DUNE-FEM-DG

  • Referenced in 3 articles [sw37061]
  • limiter bases stabilization for convection dominated PDEs. For the temporal discretization Runge-Kutta methods...
  • ConvexRelaxationRungeKutta

  • Referenced in 1 article [sw34462]
  • multiplies the Runge-Kutta update at each time step. Moreover, other desirable stability (such ... strong stability preservation) and efficiency (such as low storage requirements) properties are preserved. The technique ... applied to both explicit and implicit Runge-Kutta methods and requires only a small modification...
  • DIMSEM

  • Referenced in 4 articles [sw09189]
  • that is, only one eigenvalue of the stability matrix is non-zero), resulting ... that occurs, for example, with some Runge-Kutta methods. The methods are L-stable, with ... dictated by convergence requirements rather than stability considerations imposed by the stiffness of the problem...
  • PIROCK

  • Referenced in 7 articles [sw10253]
  • noise. A partitioned implicit-explicit orthogonal Runge-Kutta method (PIROCK) is proposed for the time ... diffusion, reaction, advection and noise) can be stabilized in the PIROCK method. The method, implemented...
  • QUALIMUWABA

  • Referenced in 5 articles [sw18130]
  • codes were developed to complement the Runge-Kutta semi-lagrangian multi-water-bag code GMWB3D ... code is an eigenvalue solver performing linear stability analysis from given mean radial profiles...
  • CYLGYR

  • Referenced in 5 articles [sw18131]
  • codes were developed to complement the Runge-Kutta semi-lagrangian multi-water-bag code GMWB3D ... code is an eigenvalue solver performing linear stability analysis from given mean radial profiles...
  • ADOL-C

  • Referenced in 249 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...