Two-dimensional stability analysis of finite-amplitude interfacial gravity waves in a two-layer fluid (with Choi, W.), Journal of Fluid Mechanics, Vol.938, A13, 2022.
(DOI 10.1017/jfm.2022.145)
Parasitic capillary waves on small-amplitude gravity waves with a linear shear current (with Choi, W.), Journal of Marine Science and Engineering, Vol.9, 1217, 2021.
(DOI 10.3390/jmse9111217)
Linear stability of transversely modulated finite-amplitude capillary waves on deep water (with Choi, W.), Studies in Applied Mathematics, Vol.146, Issue 2, pp.498-525, 2021.
(DOI 10.1111/sapm.12353)
Stability analysis of deep-water waves on a linear shear current using unsteady conformal mapping (with Choi, W.), Journal of Fluid Mechanics, Vol.885, A41, 2020.
(DOI 10.1017/jfm.2019.1021)
Long wave approximation using conformal mapping for large-amplitude internal waves in a two-fluid system,
Applied Numerical Mathematics, Vol.141, pp.133-143, 2019.
(DOI 10.1016/j.apnum.2018.04.002)
A numerical study on parasitic capillary waves using unsteady conformal mapping (with Choi, W.), Journal of Computational Physics, Vol.328, pp.234-257, 2017.
(DOI 10.1016/j.jcp.2016.10.015)
High-order Davies' approximation for a solitary wave solution in Packham's complex plane (with Choi, W.), SIAM Journal on Applied Mathematics, Vol.75, Issue 1, pp.189-208, 2015. (DOI 10.1137/140980843)
Davies' surface condition and singularities of deep water waves, Journal of Engineering Mathematics, Vol.85, pp.19-34, 2014. (DOI 10.1007/s10665-013-9633-x)
Numerical use of exterior singularities for computation of gravity waves in shallow water, Journal of Engineering Mathematics, Vol.77, pp.1-18, 2012. (DOI 10.1007/s10665-012-9541-5)
On tsunami and the regularized solitary-wave theory (with Wu, T.Y.), Journal of Engineering Mathematics, Vol.70, pp.137-146, 2011. (DOI 10.1007/s10665-010-9423-7)
An ideal ocean wave focusing lens and its shape (with Kinoshita, T.),
Applied Ocean Research, Vol.14, pp.275-290, 1992. (DOI 10.1016/0141-1187(92)90032-F)
Numerical analysis
Approximation of functions
A new method of convergence acceleration of series expansion for analytic functions in the complex domain (with Tanaka, K.),
Japan Journal of Industrial and Applied Mathematics, Vol.32, pp.95-117, 2015. (DOI 10.1007/s13160-014-0159-z)
Numerical calculation with guaranteed accuracy
A practical method of numerical calculation of the mapping degree,
IEICE Transactions of Fundamentals of Electronics, Communications and Computer Sciences, E89-A, No.6, pp.1813-1819, 2006. (DOI 10.1093/ietfec/e89-a.6.1813)
Numerical verification of solutions of Nekrasov's integral equation (with Oishi, S.),
Computing, Vol.75, pp.15-25, 2005. (DOI 10.1007/s00607-004-0112-0)
On necessary and sufficient conditions for numerical verification of double
turning points (with Tanaka, K. and Oishi, S.), Numerische Mathematik, Vol.97, pp.537-554, 2004. (DOI 10.1007/s00211-003-0515-4)
Numerical stability analysis
Convergence rates and explicit error bounds of Hill's method for spectra of self-adjoint differential operators (with Tanaka, K.),
Japan Journal of Industrial and Applied Mathematics, Vol.31, pp.25-56, 2014.
(DOI 10.1007/s13160-013-0125-1)
Computation of Floquet multipliers using an iterative method for variational equations (with Nureki, Y.), IEICE Transactions of Fundamentals of Electronics, Communications and Computer Sciences, E92-A, No.5, pp.1331-1338, 2009. (DOI 10.1587/transfun.E92.A.1331)
Boundary conditions for numerical stability analysis of periodic solutions of ordinary differential equations, IEICE Transactions of Fundamentals of Electronics, Communications and Computer Sciences, E91-A, No.4, pp.1162-1168, 2008. (DOI 10.1093/ietfec/e91-a.4.1162)
Chaos
Nonlinear ship motions
Nonlinear analyses of roll motion of a flooded ship in waves (with Yamada, T. and Aihara, K.),
Phil. Trans. R. Soc. Lond. A, Vol.358, pp.1793-1812, 2000. (DOI 10.1098/rsta.2000.0615)
Bifurcation and resonance of a mathematical model for non-linear motion
of a flooded ship in waves (with Aihara, K. and Komuro, M.), J. of Sound and Vibration, Vol.220, No.1,
pp.155-170, 1999. (DOI 10.1006/jsvi.1998.1956)
Experimental study on chaotic motion of a flooded ship in waves (with Aihara, K.),
Proc. R. Soc. Lond. A, Vol.454, pp.2537-2553, 1998. (DOI 10.1098/rspa.1998.0270)