Murashige, S. and Kinoshita, T. :
Are incident waves split into symmetrical and anti-symmetrical scattering
wave systems with equal energy by two dimensional obstacles?,
J. Kansai Soc. N.A., Japan (関西造船協会誌), Vol.215, pp.97-101, 1991.
Murashige, S., Kinoshita, T., and Suzuki, T. :
Ocean wave focusing : experiments and nonlinear computations,
International Journal of Offshore and Polar Engineering, Vol.2, No.2,
pp.93-109, 1992.
Murashige, S. and Kinoshita, T. :
An ideal ocean wave focusing lens and its shape,
Applied Ocean Research, Vol.14, pp.275-290, 1992. (DOI 10.1016/0141-1187(92)90032-F)
Murashige, S. and Aihara, K. :
Nonlinear roll motion of a flooded ship in regular waves,
J. Society of Naval Architects of Japan (日本造船学会論文集),
Vol.182, pp.171-176, 1997. (DOI 10.2534/jjasnaoe1968.1997.182_171)
Murashige, S. and Aihara, K. :
Coexistence of periodic roll motion and chaotic one in a forced flooded ship,
International Journal of Bifurcation and Chaos, Vol.8, No.3, pp.619-626, 1998.
Murashige, S. and Aihara, K. :
Experimental study on chaotic motion of a flooded ship in waves,
Proc. R. Soc. Lond. A, Vol.454, pp.2537-2553, 1998. (DOI 10.1098/rspa.1998.0270)
Murashige, S., Aihara, K., and Komuro, M. :
Bifurcation and resonance of a mathematical model for non-linear motion
of a flooded ship in waves, J. of Sound and Vibration, Vol.220, No.1,
pp.155-170, 1999. (DOI 10.1006/jsvi.1998.1956)
Murashige, S., Yamada, T., and Aihara, K. :
Nonlinear analyses of roll motion of a flooded ship in waves,
Phil. Trans. R. Soc. Lond. A, Vol.358, pp.1793-1812, 2000. (DOI 10.1098/rsta.2000.0615)
Tanaka, G., Murashige, S., and Aihara, K. :
Bifurcation structures of period-adding phenomena in an ocean internal
wave model, International J. of Bifurcation and Chaos, Vol.13, No.11,
pp.3409-3424, 2003.
Hamano, K., Murashige, S., and Hayami, K. :
Boundary element simulation of large amplitude standing waves in vessels,
Engineering Analysis with Boundary Elements, Vol.27, pp.565-574, 2003. (DOI 10.1016/S0955-7997(03)00041-9)
Tanaka, K., Murashige, S., and Oishi, S. :
On necessary and sufficient conditions for numerical verification
of double turning points,
Numerische Mathematik, Vol.97, pp.537-554, 2004. (DOI 10.1007/s00211-003-0515-4)
Murashige, S. and Oishi, S. :
Numerical verification of solutions of periodic integral equations
with a singular kernel, Numerical Algorithms, Vol.37, pp.301-310, 2004. (DOI 10.1023/B:NUMA.0000049476.37729.99)
Murashige, S. and Oishi, S. :
Numerical verification of solutions of Nekrasov's integral equation,
Computing, Vol.75, pp.15-25, 2005. (DOI 10.1007/s00607-004-0112-0)
Kinukawa, M., Ohmuro, J., Baba, S.A., Murashige, S., Okuno, M.,
Nagata, M., and Aoki, F. :
Analysis of flagellar bending in hamster spermatozoa: characterization of an effective stroke, Biology of Reproduction, Vol.73, pp.1269-1274, 2005. (DOI 10.1095/biolreprod.105.042317)
Murashige, S. :
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)
Nakakura, K. and Murashige, S. :
Numerical computation of the mapping degree using computational homology,
IEEE SCAN2006 proceedings, --, 2006. (DOI 10.1109/SCAN.2006.32)
Murashige, S. : 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)
Nureki, Y. and Murashige, S. : Computation of Floquet multipliers using an iterative method for variational equations, 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)
Murashige, S. and Wu, T.Y. : Dwarf solitary waves and low tsunamis,
Journal of Hydrodynamics, Vol.22, Issue 5, Supplement 1, pp.960-968, 2010. (DOI 10.1016/S1001-6058(10)60059-5)
Wu, T.Y. and Murashige, S. : On tsunami and the regularized solitary-wave
theory, Journal of Engineering Mathematics, Vol.70, pp.137-146, 2011. (DOI 10.1007/s10665-010-9423-7)
Murashige, S. : 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)
Murashige, S. : 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)
Tanaka, K. and Murashige, S. : Convergence rates and explicit error bounds
of Hill's method for spectra of self-Adjoint differential operators,
Japan Journal of Industrial and Applied Mathematics, Vol.31, pp.25-56, 2014. (DOI 10.1007/s13160-013-0125-1)
Murashige, S. and Choi, W. : High-order Davies' approximation for a solitary wave solution in Packham's complex plane,
SIAM Journal on Applied Mathematics, Vol.75, Issue 1, pp.189-208, 2015. (DOI 10.1137/140980843)
Murashige, S. and Tanaka, K. : A new method of convergence acceleration of series expansion for analytic functions in the complex domain,
Japan Journal of Industrial and Applied Mathematics, Vol.32, pp.95-117, 2015. (DOI 10.1007/s13160-014-0159-z)
Murashige, S. and Choi, W. : A numerical study on parasitic capillary waves using unsteady conformal mapping,
Journal of Computational Physics, Vol.328, pp.234-257, 2017.
(DOI 10.1016/j.jcp.2016.10.015)
Murashige, S. : 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)
Murashige, S. and Choi, W. : Stability analysis of deep-water waves on a linear shear current using unsteady conformal mapping,
Journal of Fluid Mechanics, Vol.885, A41, 2020.
(DOI 10.1017/jfm.2019.1021)
Murashige, S. and Choi, W. : Linear stability of transversely modulated finite-amplitude capillary waves on deep water, Studies in Applied Mathematics, Vol.146, Issue 2, pp.498-525, 2021.
(DOI 10.1111/sapm.12353)
Murashige, S. and Choi, W. : 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)
Murashige, S. and Choi, W. : Two-dimensional stability analysis of finite-amplitude interfacial gravity waves in a two-layer fluid,
Journal of Fluid Mechanics, Vol.938, A13, 2022.
(DOI 10.1017/jfm.2022.145)
Proceedings of academic meetings (with review)
Kinoshita, T., Hinatsu, M., and Murashige, S. :
Simulations of forces acting on a cylinder in oscillatory flow by direct
calculation of the Navier-Stokes equations, Proc. of 5th International
Conference on Numerical Ship Hydrodynamics, pp.313-328, 1989.
Murashige, S., Kinoshita, T., and Hinatsu, M. :
Direct calculations of the Navier Stokes equations for forces acting on
a cylinder in oscillatory flow, Proc. of 8th International Conference
on Offshore Mechanics and Arctic Engineering, pp.411-418, 1989.
Murashige, S., Kinoshita, T., and Suzuki, T. :
Perfect ocean wave focusing without reflection,
Proc. of 1st International Offshore and Polar Engineering Conference,
pp.6-14, 1991.
Murashige, S. and Kinoshita, T. :
Theoretical and experimental study on ocean wave focusing,
Proc. of 3rd Symposium on Ocean Wave Energy Utilization, pp.283-292, 1991.
Murashige, S., Komuro, M., and Aihara, K. :
Non-smooth characteristics and bifurcation of a mathematical model
for Motion of a Flooded Ship in Waves,
1997 International Symposium on Nonlinear Theory and its Applications,
pp,497-500, 1997.
Murashige, S. and Aihara, K. :
Chaotic roll motion of a flooded ship in regular beam waves,
Proc. of 4th Experimental Chaos Conference (ed. Ding, M. et al.),
pp.349-354, 1997.
Murashige, S. and Aihara, K. :
Bifurcation analyses of coupled Duffing equations for motion of a flooded
ship in waves,
1999 International Symposium on Nonlinear Theory and its Applications,
pp.355-358, 1999.
Tanaka, G., Murashige, S., and Aihara, K. :
Bifurcation analysis of an ocean internal wave model,
Proc. of 2001 International Symposium on Nonlinear Theory and its Applications,
pp.7-10, 2001.
Murashige, S. and Oishi, S. :
Rigorous computation of Nekrasov's integral equation for water waves,
Advances in Engineering Mechanics - Reflections and Outlooks
in Honor of Theodore Y-T Wu,
edited by Chwang, A.T., Teng, M.H. and Valentine, D.T.,
World Scientific,
pp.84-93, 2005.
Nureki, Y. and Murashige, S. : Improvement of the multiple shooting method for stability analysis of periodic orbits of ordinary differential equations, Proceedings of 2008 International Symposium on Nonlinear Theory and its Applications, pp.211-214, 2008-9-8, Hungary (Budapest).
Murashige, S. and Wu, T.Y. : Dwarf solitary waves and low tsunamis,
Proceedings of the 9th International Conference on Hydrodynamics, pp.960-968, 2010-10-13, China (Shanghai).
Murashige, S. : Validity of Davies' approximate solutions for water waves,
Proceedings of the 10th International Conference on Hydrodynamics, Vol.2, pp.214-219, 2012-10-3, Saint Petersburg (Russia).
Ishida, S., Murashige, S., Watanabe, I., Ogawa, Y., and Fujiwara, T. :
Damage stability with water on deck of a Ro-Ro passenger ship in waves,
Proc. of 2nd Workshop on Stability and Operationa Safety of Ships, pp.81-90, 1996.
Murashige, S., Aihara, K., and Yamada, T. :
Nonlinear roll motion of a ship with water-on-deck in regular waves,
Proc. of 2nd Workshop on Stability and Operational Safety of Ships, pp.119-127, 1996.
Murashige, S., Komuro, M., and Aihara, K. :
Nonlinear roll motion and bifurcation of a Ro-Ro ship with flooded water
in regular beam waves, Proc. of 3rd Workshop on Theoretical Advances in
Ship Stability and Practical Impact, pp.1-10, 1997.
Ishida, S. and Murashige, S. :
Stability of a Ro-Ro passenger ship with a damage opening in a beam seas,
Proc. of 6th International Conference on Stability of Ships and Ocean Vehicles,
pp.99-110, 1997.
Murashige, S. and Oishi, S. :
Numerical verification of solutions of the Nekrasov integral equation,
International Conference on Recent Advances in Computational Mathematics
(ICRACM 2001), pp.74-75, 2001.
Murashige, S. and Oishi, S. :
Numerical verification of solutions of periodic integral equations with
a singular kernel,
International Symposium on Scientific Computing, Computer Arithmetic, and
Validated Numerics (SCAN2002), p.59, 2002.
Murashige, S. :
The box covering method for computation of chaos,
Tsukuba Workshop 2003, 2003.
Murashige, S. :
Numerical verifcation of fixed points of an infinite dimensional map
for a water wave problem,
11th GAMM-IMACS International Symposium on Scientific Computing,
Computer Arithmetic, and Validated Numerics (SCAN 2004), 2004.
Murashige, S. :
A practical method of numerical calculation of the mapping degree
and its application,
Workshop on Numerical Analysis of Flow Problems and Validated Computations,
pp.12-13, 2005.
田中 健一郎,村重 淳 :
Hill の方法による自己共役作用素の近似固有値の収束次数評価,
日本応用数理学会2011年度年会,講演予稿集 pp.105-106, 2011-9-14, 同志社大学.
Tanaka, K. and Murashige, S. :
Convergence analysis of Hill's method for approximating eigenvalues of a differential operator,
Workshop on Riliability in Scientific Computing and Related Topics, 2011-11-26, 長崎(佐世保).
田中 健一郎,村重 淳 :
Hill の方法による微分作用素の近似固有値の収束次数評価,
応用数学合同研究集会, pp.158-159, 2011-12-5, 龍谷大学.
Tanaka, K and Murashige, S. :
Explicit error bounds of Hill's method for spectra of differential operators,
ICCAM 2012 (International Congress on Computational and Appled Mathematics),
Gent, Belgium, 2012-7.
Murashige, S. and Choi, W. :
Davies approximation of Levi-Civita's surface condition for water waves in the complex domain,
SIAM Conference on Nonlinear Waves and Coherent Structures,
Churchill College, University of Cambridge, U.K., 2014-8-14.
Murashige, S. and Choi, W. :
Fully nonlinear computation of unsteady water waves using a non-stationary conformal mapping,
Workshop on Nonlinear Waves and Fluid Mechanics,
National Institute for Mathematical Sciences, South Korea, 2014-8-11.
Murashige, S. :
Large amplitude motion of periodic internal waves in a two fluid system of finite depth,
Workshop on nonlinear water waves and related phenomena,
the University of Tokyo, Kashiwa,
2018-2-19.
Murashige, S. :
Improvement of Benjamin's approximate solution for gravity currents,
Applied Mathematics and Data Science II,
ShanghaiTech University, Shanghai, China, 2024-7-10~12.
Kinoshita, T. and Murashige, S. :
A fundamental study on ocean wave focusing,
東京大学生産技術研究所報告,第36巻 第4号,1991.
Murashige, S. and Aihara, K. :
Chaotic motion of a flooded ship in waves,
METR 97-01, 1997.
Hamano, K., Murashige, S., and Hayami, K. :
Boundary element simulation of large amplitude standing waves in vessels,
NII Technical Report, NII-2002-004E, 2002.
Tanaka, K., Murashige, S., and Oishi, S. :
On necessary and sufficient conditions for numerical verification of
double turning points, METR 2003-4, 2003.
Murashige, S., and Oishi, S. :
Numerical verification of solutions of Nekrasov's integral equation,
METR 2003-11, 2003.