• # Taylor

• Referenced in 101 articles [sw10816]
• order and step size at run time. The package provides support for several extended precision ... authors discuss the performance of the resulting integrator in some examples, showing that ... many situations. This is especially true for integrations that require extended precision arithmetic. The main ... that the Taylor method is an explicit method, so it has all the limitations...
• # MEXX

• Referenced in 20 articles [sw22801]
• following features: Time stepping by a half-explicit extrapolation method, allowing for the accurate ... velocity constraints remain satisfied throughout the integration interval. Uses well-structured linear algebra, enabling ... other full and sparse linear algebra options. Time-continuous solution representation (e.g., for graphics). Root...
• # STINT/CD

• Referenced in 1 article [sw26574]
• STINT/CD: A stand-alone explicit time integration package for structural dynamics analysis. This paper ... guide for the stand‐alone explicit direct time integration package STINT/CD for structural dynamics analysis...
• # PIROCK

• Referenced in 7 articles [sw10253]
• implicit-explicit orthogonal Runge-Kutta method (PIROCK) is proposed for the time integration of diffusion ... diffusion terms are solved by the explicit second order orthogonal Chebyshev method (ROCK2), while...
• # SERK2v3

• Referenced in 8 articles [sw14473]
• some explicit methods can be very efficient for specific problems. Stabilized explicit Runge-Kutta methods ... cost is $O(s)$ times lower than for traditional explicit algorithms. In this way moderately ... stiff problems can be integrated by the use of simple explicit evaluations. SERK schemes ... problem at the current time of integration in an optimal way, that is with minimal...
• # IRKC

• Referenced in 20 articles [sw00452]
• code IRKC is intended for the time integration of systems of partial differential equations (PDEs ... based on a family of implicit-explicit Runge-Kutta-Chebyshev methods which are unconditionally stable...
• # CVODES

• Referenced in 35 articles [sw04946]
• solution sensitivities need not be computed explicitly. Instead, for each output functional of interest ... infrastructure required for the backward integration in time of systems of differential equations dependent...
• # EDGE

• Referenced in 21 articles [sw00228]
• flows, the equations are integrated towards steady state with an explicit multi-stage Runge-Kutta ... Mach-number preconditioning is also available. Time-accurate computations are implemented using dual time-stepping...