Recent Works by Yoshimasa Nakamura (1995+)

• Y. Nakamura and Y. Kodama, Moment problem of Hamburger, hierarchy of integrable systems, and the positivity of tau-functions, Acta. Appl. Math. 39(1995), 435-443
• Y. Nakamura, The BCH-Goppa decoding as a moment problem and a tau-function over finite fields, Phys. Lett. A 223(1996), 75-81
• Y. Nakamura and L. Faybusovich, On explicitly solvable gradient systems of Moser-Karmarkar type, J. Math. Anal. Appl. 205(1997), 88-106
• Y. Nakamura, Jacobi algorithm for symmetric eigenvalue problem and integrable gradient system of Lax form, Japan J. Indust. Appl. Math. 14(1997), 159-168
• Y. Nakamura, Integrable deformation of Gaussian distribution and the Ornstein-Uhlenbeck process, Lett. Math. Phys. 43 (1998), 1-5, Kluwer Acad. Publ.
• Y. Nakamura, K. Kajiwara and H. Shiotani, On an integrable discretization of the Rayleigh quotient gradient system and the power method with a shift, J. Comput. Appl. Math. 96(1998), 77-90
• K. Kondo and Y. Nakamura, An extension of Steffensen's iteration and its computational complexity, Interdisciplinary Inform. Sci. 4(1998), 129-138
• Y. Nakamura and A. Mukaihira, Dynamics of the finite Toda molecule over finite fields and a decoding algorithm, Phys. Lett. A 249(1998), 295-302
• Y. Minesaki and Y. Nakamura, On integrable discretization of integrable systems with separatrix Phys. Lett. A, 250(1998), 300-310
• Y. Nakamura, Calculating Laplace transforms in terms of the Toda molecule, SIAM J. Sci. Comput. 20(1999), 306-317
• A. Mukaihira and Y. Nakamura, Integrable discretization of the modified KdV equation and applications, Inverse Problems 16(2000), 413-424
• Y. Nakamura, Algorithms associated with arithmetic, geometric and harmonic means and integrable systems, J. Comput. Appl. Math. 131(2001), 161-174
• S. Tsujimoto, Y. Nakamura and M. Iwasaki, Discrete Lotka-Volterra system computes singular values (with), Inverse Problems, 17(2001), 53-58
• Y. Minesaki and Y. Nakamura, The discrete relativistic Toda molecule equation and a Pad\'e approximation algorithm, Numerical Algorithms, 27(2001), 219-235
• Y. Nakamura, Continued fractions and integrable systems, Centre de Rech. Math. Proc. Lec. Notes 31(2002), 153-163
• A. Mukaihira and Y. Nakamura, Schur flow for orthogonal polynomials on the unit circle and its integrable discretization, J. Comput. Appl. Math. 139(2002), 75-94
• K. Kondo and Y. Nakamura, Determinantal solutions of solvable chaotic systems, J. Comput. Appl. Math. (2002), 361-372
• Y. Minesaki and Y. Nakamura, A new discretization of the Kepler motion which conserves the Runge-Lenz vector, Phys. Lett. A (2002),127-133
• M. Iwasaki and Y. Nakamura, On the convergence of a solution of the discrete Lotka-Volterra system, Inverse Problems, 18(2002), 1569-1578
• M. Iwasaki and Y. Nakamura, An application of the discrete Lotka-Volterra system with variable step-size to singular value computation, Inverse Problems, 20(2004), 553-563
• Y. Minesaki and Y. Nakamura, A new conservative numerical integration algorithm for the three-dimensional Kepler motion based on the Kustaanheimo-Stiefel regularization theory, Phys. Lett. A 324(2004), 282-292
• Y. Nakamura, A new approach to numerical algorithms in terms of integrable systems, Proceedings of International Conference on Informatics Research for Development of Knowledge Society Infrastructure ICKS 2004, Eds.T. Ibaraki, T. Inui and K. Tanaka, IEEE Computer Society Press, 2004, pp. 194-205
• Y. Minesaki and Y. Nakamura, A conservative numerical integration algorithm for the integrable Henon-Heiles system, Proceedings of Institute of Mathematics of NAS of Ukraine,　Part I, Eds A. G. Nikitin, V. M. Boyko, R. O. Popovych and I. A.Yehorchenko, Kyiv, Institute of Mathematics, 2004, pp. 444-449.
• Y. Nakamura and A. Zhedanov, Special solutions of the Toda chain and combinatorial numbers, J. Phys. A, Math. Gen. 37(2004), 5849-5862
• Y. Nakamura and N. Ohira, Pad\'e approximation of Laplace transforms of some special functions in terms of Painlev\'e equations, Inverse Problems, 20(2004), 1583-1591
• M. Takata, M. Iwasaki, K. Kimura and Y. Nakamura, An evaluation of singular value computation by the discrete Lotka-Volterra system, Proceedings of The 2005 International Conference on Parallel and Distributed Processing Techniques and Applications

Last Modified: 2005/05/07