• CRACK

  • Referenced in 57 articles [sw07754]
  • presented. The integrable polynomial vector evolution equations, quadratic Hamiltonians with an e(3) Lie-Poisson...
  • LIMbook

  • Referenced in 43 articles [sw14520]
  • book explains the numerical solution of differential equations within the framework of geometric integration ... differential systems named conservative problems, particularly Hamiltonian systems. Assuming only basic knowledge of numerical quadrature ... handle the numerical solution of Hamiltonian partial differential equations (PDEs) and explores extensions...
  • RICPAC

  • Referenced in 61 articles [sw15253]
  • such Riccati equations by means of deflating subspaces for certain associated Hamiltonian or symplectic generalized ... calculated. An iterative improvement calculation via Sylvester equations is available and can be used...
  • GniCodes

  • Referenced in 8 articles [sw21086]
  • integration. Structure-preserving algorithms for ordinary differential equations. (2002; Zbl 0994.65135)]. They give an introduction ... discretization (Section 1). The flow of Hamiltonian differential equations is symplectic and possesses conserved quantities ... systems have a time-reversible flow. Differential equations with first integrals and problems on manifolds ... methods, linear multistep methods, and algorithms for Hamiltonian problems on manifolds. We briefly discuss their...
  • PARSEC

  • Referenced in 19 articles [sw22333]
  • computer code that solves the Kohn-Sham equations by expressing electron wave-functions directly ... sparsity of the Hamiltonian matrix, the Kohn-Sham equations are solved by direct diagonalization, with...
  • SuSy 2

  • Referenced in 16 articles [sw09258]
  • given SuSy Hamiltonians and to obtain the SuSy version of soliton equations using the SuSy ... computation of a general form of SuSy Hamiltonians (up to SuSy divergence equivalence...
  • aicm

  • Referenced in 10 articles [sw11487]
  • eigenvalue problem for a Hamiltonian system of ordinary differential equations with nonlinear dependence...
  • pdynamics

  • Referenced in 1 article [sw33742]
  • pdynamics.mac allows to compute Poisson brackets, Hamiltonian equations and flows, and Lie normal forms...
  • poincare

  • Referenced in 1 article [sw33743]
  • pdynamics.mac allows to compute Poisson brackets, Hamiltonian equations and flows, and Lie normal forms...
  • Piranha

  • Referenced in 2 articles [sw23727]
  • Piranha for the construction of motion equations of the planetary system problem. In this paper ... Hamiltonian of four-planetary problem into the Poisson series and the construction of motion equations ... series representation of the Hamiltonian and motion equations are discussed...
  • Floquet

  • Referenced in 3 articles [sw36064]
  • operator only in the Hamiltonian term. An improved master equation is achieved by treating...
  • ManifoldCode

  • Referenced in 1 article [sw06974]
  • biophysics, the drift-diffusion semiconductor equations, and the Hamiltonian and momentum constraints in the Einstein...
  • CONSLAW

  • Referenced in 7 articles [sw00155]
  • laws for a given parameterized nonlinear evolution equations. The explicit forms of the conserved densities ... integrability, such as explicit analytical solutions, bi-Hamiltonian form, one-parameter family of Bäcklund transformations ... applying it to a variety of equations...
  • CDIFF

  • Referenced in 5 articles [sw07946]
  • integrability related differential operators for general differential equations (i.e., not necessarily in evolution form) with ... variables. It can compute symmetries, conservation laws, Hamiltonian, symplectic and recursion operators, in local...
  • ppp_bulk.x

  • Referenced in 1 article [sw10440]
  • program to solve the Hartree-Fock equations for interacting spin-fermions confined in harmonic potentials ... defining the P-P-P Hamiltonian, the Hartree-Fock equations...
  • ALTDSE

  • Referenced in 4 articles [sw00037]
  • method to solve the time-dependent Schrödinger equation (TDSE) for the interaction of a strong ... general atom. While the field-free Hamiltonian and the dipole matrices may be generated using...
  • Dirac_Laczos

  • Referenced in 5 articles [sw16747]
  • well as the time-dependent Dirac equation with arbitrary electromagnetic fields. We demonstrate that ... wave packets. The unboundedness of the Dirac Hamiltonian does not hinder the applicability...
  • Quantum trajectory

  • Referenced in 1 article [sw36103]
  • master equation. Different physical systems are modeled by different Hamiltonians and environment operators. The program...
  • ASCOT

  • Referenced in 1 article [sw16815]
  • methods, suitable for solving the kinetic equation for fast ions and impurity species in tokamak ... approach, is presented. The described methods include Hamiltonian orbit-following in particle and guiding center ... guiding center solution of the kinetic equation applying stochastic differential equations in the presence...
  • KEPLER

  • Referenced in 2 articles [sw08618]
  • fundamental frequencies of a slightly perturbed integrable Hamiltonian system are not time-constant inside ... other methods, to the integration of variational equations. For the Kepler problem, the space ... product of two 2-spheres. The perturbation Hamiltonian, averaged over the mean anomaly, has surely...