KANTBP swMATH ID: 482 Software Authors: Chuluunbaatar, O.; Gusev, A. A.; Abrashkevich, A. G.; Amaya-Tapia, A.; Kaschiev, M. S.; Larsen, S. Y.; Vinitsky, S. I. Description: KANTBP: A program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach. Nature of problem: In the hyperspherical adiabatic approach [2-4], a multi-dimensional Schrödinger equation for a two-electron system [5] or a hydrogen atom in magnetic field [6] is reduced by separating the radial coordinate ρ from the angular variables to a system of second-order ordinary differential equations which contain potential matrix elements and first-derivative coupling terms. The purpose of this paper is to present the finite element method procedure based on the use of high-order accuracy approximations for calculating approximate eigensolutions for such systems of coupled differential equations. Homepage: http://cpc.cs.qub.ac.uk/summaries/ADZH_v1_0.html Programming Languages: FORTRAN 77. Operating Systems: OC Linux, Unix AIX 5.3, SunOS 5.8, Solaris, Windows XP. Keywords: eigenvalue and multi-channel scattering problems; Kantorovich method; finite element method; R-matrix calculations; hyperspherical coordinates; multi-channel adiabatic approximation; ordinary differential equations; high-order accuracy approximations. Related Software: KANTBP 2.0; Maple; POTHMF; ODPEVP; POTHEA; QQ-onia; MATSLISE; Matlab; SSM; PHISYM; ARBTools; GCMFEM; ASYMPT Cited in: 21 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year KANTBP: A program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach. Zbl 1196.81283Chuluunbaatar, O.; Gusev, A. A.; Abrashkevich, A. G.; Amaya-Tapia, A.; Kaschiev, M. S.; Larsen, S. Y.; Vinitsky, S. I. 2007 all top 5 Cited by 27 Authors 20 Chuluunbaatar, Ochbadrakh 20 Gusev, Alexander A. 20 Vinitsky, Sergue I. 9 Derbov, Vladimir L. 8 Gerdt, Vladimir Petrovich 7 Abrashkevich, A. G. 7 Rostovtsev, Vitaly A. 5 Góźdź, Andrzej 3 Chuluunbaatar, Galmandakh 3 Kaschiev, Michael S. 3 Le Hai, Luong 2 Hai, Lili 2 Krassovitskiy, P. M. 2 Serov, Vladislav V. 1 Amaya-Tapia, Alejandro 1 Blinkov, Yuri A. 1 Deveikis, Algirdas 1 Galtbayar, A. 1 Hess, Peter Otto 1 Kaschiev, Michail 1 Larsen, Sigurd Yves 1 Samoylov, Valentin N. 1 Taher, Anis Haytham Saleh 1 Tupikova, Tatyana 1 Ulziibayar, Vandandoo 1 Wen, Pengwei 1 Zhanlav, Thugal Cited in 5 Serials 7 Computer Physics Communications 1 Theoretical and Mathematical Physics 1 Mathematics and Computers in Simulation 1 Mathematics in Computer Science 1 Journal of Physics A: Mathematical and Theoretical all top 5 Cited in 9 Fields 12 Quantum theory (81-XX) 11 Numerical analysis (65-XX) 8 Computer science (68-XX) 3 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year