• GFiRe

  • Referenced in 5 articles [sw41989]
  • GFiRe: a Gauge Field integrator for Reheating. We present a new numerical algorithm and code ... factor is implemented with explicit, composite, symplectic integrators. An important property of our compound algorithm ... regardless of the order of the symplectic integrator. This remains true even when the background...
  • GniCodes

  • Referenced in 9 articles [sw21086]
  • Lubich and G. Wanner [Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations ... flow of Hamiltonian differential equations is symplectic and possesses conserved quantities. Conservative systems have ... introduce in Section 2 simple symplectic and symmetric integrators, (partitioned) Runge-Kutta methods, composition ... discuss their symplecticity and symmetry. The improved performance of such geometric integrators is best understood...
  • REBOUND

  • Referenced in 4 articles [sw27308]
  • beyond. REBOUND comes with three symplectic integrators: leap-frog, the symplectic epicycle integrator...
  • REBOUNDx

  • Referenced in 2 articles [sw42239]
  • Forces to Otherwise Symplectic N-body Integrations. Symplectic methods, in particular the Wisdom-Holman ... questions, and that several important properties of symplectic schemes carry over to the general case ... often strongly suppress integration errors. Furthermore, we demonstrate that so-called `symplectic correctors’ (which reduce ... advocated approaches of incorporating additional forces into symplectic methods work well for dissipative forces...
  • WHFast

  • Referenced in 2 articles [sw34178]
  • unbiased implementation of a symplectic Wisdom–Holman integrator for long term gravitational simulations. We present ... accurate implementation of a Wisdom-Holman symplectic integrator for long-term orbit integrations of planetary ... energy better than all other Wisdom-Holman integrators tested. We achieve this by significantly improving ... floating-point round-off errors. We implement symplectic correctors up to order eleven that significantly...
  • TINKER

  • Referenced in 10 articles [sw04095]
  • rigid body space, symplectic RESPA multiple time step integration for molecular dynamics, velocity Verlet stochastic...
  • PyCOOL

  • Referenced in 2 articles [sw31351]
  • lattice with very precise symplectic integrators. The program has been written with the intention ... models. In this paper we derive the symplectic dynamics that govern the evolution...
  • diffeqpy

  • Referenced in 2 articles [sw36473]
  • equations (ODEs); Split and Partitioned ODEs (Symplectic integrators, IMEX Methods); Stochastic ordinary differential equations (SODEs...
  • HNBody

  • Referenced in 1 article [sw30538]
  • HNBody Symplectic Integration Package. The HNBody (Hierarchical N-Body) package integrates the motion of particles ... single object; it is based on symplectic integration techniques in which two-body Keplerian motion...
  • HOMsPy

  • Referenced in 1 article [sw16953]
  • Some explicit algorithms for higher order symplectic integration of a large class of Hamilton...
  • TTVFast

  • Referenced in 1 article [sw42237]
  • These TTV applications often require the numerical integration of orbits for computation of transit times ... timing computation, TTVFast, which uses a symplectic integrator with a Keplerian interpolator for the calculation...
  • NbodyGradient

  • Referenced in 1 article [sw42238]
  • Here we describe a general-purpose symplectic integrator for arbitrary orbital architectures, including those with...
  • IntHaar

  • Referenced in 3 articles [sw28082]
  • formula for the integration of polynomials over the unitary, orthogonal, and symplectic groups using Weingarten...
  • nlchains

  • Referenced in 1 article [sw33499]
  • cases is a symplectic sixth order integrator, hence very accurate and suited for long time...
  • BRIDGE

  • Referenced in 1 article [sw37074]
  • tree code with a second-order leapfrog integrator. The direct and tree schemes are combined ... using an extension of the mixed variable symplectic (MVS) scheme. Thus, the Hamiltonian corresponding ... star cluster is integrated with the leapfrog, which is symplectic. Using this algorithm, we performed...
  • NBSymple

  • Referenced in 2 articles [sw20351]
  • NBSymple, a double parallel, symplectic N-body code running on Graphic Processing Units. We present ... precision, of a numerical code which numerically integrates the equation of motions of N ’particles ... time integration is done with second-order and sixth-order symplectic schemes. The code, NBSymple...
  • Mercury

  • Referenced in 1 article [sw16732]
  • modeled. The package supports integrations using a mixed-variable symplectic routine, the Bulirsch-Stoer method...
  • SympGPR

  • Referenced in 1 article [sw39176]
  • related to symplectic Euler methods in terms of numerical integration but fulfill a complementary purpose ... spectral bases and artificial neural networks for symplectic flow maps, applicability to Poincaré maps...
  • CDIFF

  • Referenced in 5 articles [sw07946]
  • 20/10/2013). It is devoted to computations concerning integrability related differential operators for general differential equations ... compute symmetries, conservation laws, Hamiltonian, symplectic and recursion operators, in local and nonlocal coordinates...
  • JET

  • Referenced in 2 articles [sw33765]
  • canonical densities and investigation of the complete integrability, computation of differential substitutions and Bäcklund transformations ... algebras, the check of the antisymmetry, symplectic and cosymplectic conditions of linear integrodifferential operators...