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[en] Methods: of computational physics developed at JINR for investigation of models of complex physical processes in different fields of theoretical physics are considered. A general mathematical formulation of equations for the models under study is given, numerical methods are described, and information on developed program packages is presented. Particular models of physical processes are discussed. Results: of their numerical study are demonstrated.
[en] High-precision methods are developed to evaluate eigenvalues for all states |m,N right-angle of the x2m anharmonic oscillators with m from 2 to 6, for all values of the anharmonicity parameter. There are three basic steps: rescaling to introduce a length scale natural to the problem; use of fifth-order JWKB to generate an accurate starting estimate of the rescaled energy; and shifted (resolvent-based) Lanczos algorithm to sharpen the initial JWKB estimate. JWKB itself gives 33-figure accuracy for N greater than 1500 (for m=2) to 3500 (for m=6). With the JWKB starting energy, the shifted Lanczos algorithm converges to 33 figures in 3 iterations or less for all states. These methods are used in a study of the systematics of anharmonic-oscillator spectra and of the physical effects of the rescaling transformation. copyright 1999 Academic Press, Inc
[en] The aim of this paper is to present the results of the analysis of a Darrieus-type cross flow water turbine in bare and shrouded configurations. Numerical results are compared to experimental data and differences found in values are also highlighted. The benefit of the introduction of a channelling device, which generates an efficiency increment factor varying from 2 to 5, depending on the configuration, is discussed.
[en] Highlights: • CFD and CSM codes are coupled. • Validation on Vattenfall Rod Vibration Experiment are performed. • Vibrations from an external load are modelled. • Comparative analyses have been performed.
[en] It is an open question if there are leakage-free entangling Fibonacci braiding gates. In this article, we give a construction of a large family of leakage-free braiding gates which are then proved to be non-entangling. We also conducted brute-force numerical searches for braids with a word-length up to seven and found no leakage-free entangling gates. These suggest the negative for the conjecture. On the other hand, we provide a much simpler protocol to generate approximately leakage-free entangling Fibonacci braiding gates than existing algorithms in the literature. (paper)
[en] In this paper, by using the direct method of calculating periodic wave solutions proposed by Akira Nakamura, we present a numerical process to calculate the 3-periodic wave solutions to several KdV-type equations: the Korteweg–de Vries equation, the Sawada–Koterra equation, the Boussinesq equation, the Ito equation, the Hietarinta equation and the -dimensional Kadomtsev–Petviashvili equation. Some detailed numerical examples are given to show the existence of the three-periodic wave solutions numerically.