Preprint/Reprint(Laser)

 Numerical Methods

T.Utsumi, T.Yabe, J.Koga, T.Aoki and M.Sekine : Accurate Basis Set by the CIP 
   Method for the Solutions of the Shroedinger Equation
   Comput.Phys.Commun. 157 pp.121-138 (2004).

T. Utsumi, T.Yabe , J. Koga, T.Aoki, M. Sekine, Y.Ogata, E.Matsunaga : A Note 
   on the Basis Set Approach in the Constrained Interpolation Profile Method
   J.Comput.Phys. 196 pp 1-7 (2004). 

Y.Ogata, T.Yabe, K.Shibata and T.Kudoh : Efficient Computation of Magneto-
   Hydrodynamic Phenomena in Astrophysics by CCUP-MOCCT
   International J.Comput Method 1, pp.201-225 (2004).

T.Yabe, H.Mizoe, K. Takizawa , H. Moriki, H.N. Im  and  Y.Ogata : Higher-Order 
    Schemes with CIP Method and Adaptive Soroban Grid towards Mesh-Free Scheme
    J. Comput. Phys. Vol.194, pp.57-77(2004)  Pdf File (501KB)


Y.Kondoh, T.Yabe, J.Maehara, T.Nakamura, and Y.Ogata:  Microscopic and Macroscopic 
    Simulation for Femtosecond-Laser-Matter Interaction by Cubic Interpolated 
    Propagation Method, 
    Phys. Rev. E.  68,  pp.066408-1-9 (2003), 

F.Xiao, T.Yabe, X.Peng and H.Kobayashi: Conservative and Oscillation-Less 
   Atmospheric Transport Schemes Based on Rational Function
   J.Geophy. Res.  107, pp.4609-4619 (2002)

K.Takizawa, T.Yabe and T.Nakamura : Multi-Dimensional Semi-Lagrangian 
    Scheme that Guarantees Exact Conservation,
    Comput.Phys.Commun. submitted Vol.148, pp.137-159  (2002)
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T.Yabe, Y.Ogata, K.Takizawa, T.Kawai, A.Segawa and K.Sakurai : The Next 
    Generation CIP as a Conservative Semi-Lagrangian  Solver for Solid, 
    Liquid and Gas 
    J. Comput. and Appl. Math.  Vol.149, pp.267-277  (2002)..

T.Nakamura, R.Tanaka, T.Yabe and K.Takizawa :Exactly Conservative Semi-
    Lagrangian Scheme for Multi-Dimensional Hyperbolic Equations with 
    Directional Splitting Technique.
    J.Comput.Phys. vol.174 , 171-207 (2001).

T.Yabe, F.Xiao and T.Utsumi : Constrained Interpolation Profile Method for 
    Multiphase@Analysis.  
    J. Comput. Phys. 169, pp.556-593 (2001)

F.Xiao and T.Yabe : Completely Conservative and Oscillationless Semi-
    Lagrangian Schemes for Advection Transportation
    J.Comput.Phys. 170, pp.498-522 (2001)

K.Sakurai, T.Aoki and T.Yabe : A Semi-Lagrangian Cubic-Interpolated Propagation
    (CIP) Scheme for Long Percel Trajectories
    CFD Journal 10 pp.76-84 (2001)

H.Mizoe, S.Yoon, M.Josho and T.Yabe : Numerical Simulation on Snow Melting 
     Phenomena by CIP Method
     Comput.Phys.Commun. 135 pp.154-166 (2001)

T.Yabe,@R.Tanaka, T.Nakamura  and F.Xiao, An Exactly Conservative Semi-
     Lagrangian Scheme (CIP-CSL) In One Dimension    
     Mon. Wea.Rev.  129, pp.332-344 (2001).

R.Tanaka, T.Nakamura and  T.Yabe :  Constructing exactly conservative scheme 
    in a non-conservative form
    Comput.Phys.Commun. 126, pp.232-243 (2000) 

T.Yabe, F.Xiao and Y.Zhang : Strategy for Unified Solution of Solid, Liquid, 
    Gas and Plasmas (Invited paper) AIAA paper  99-3509
    30th AIAA Fluid Dynamics Conference, 28June 1-July 1999, Norfolk, USA 

Y.Zhang and T.Yabe : Efficient of Ambient Gas on Three-Dimensional Breakup in 
    Coronet Formation
    CFD Journal, 8, pp.378-382 (1999).

Y.Ogata and T.Yabe :  Shock Capturing with Improved Numerical Viscosity in 
    Primitive Euler Representation,
    Comput.Phys.Commun. 119, pp.179-193 (1999).

S.Yoon and T.Yabe : The Unified Simulation for Incompressible and Compressible 
    Flow by Predictor-Corrector Scheme Based on CIP Method, 
    Comput.Phys.Commun. 119, pp.149-158 (1999).

T.Nakamura and T.Yabe : Cubic Interpolated Propagation Scheme for Solving the 
    Hyper-Dimensional Vlasov-Poisson Equation in Phase Space,
    Comput.Phys.Commun. 120, pp.122-154 (1999) .

F.Xiao, T.Yabe and T.Ebisuzaki : An Oscillation Suppressing Semi-Lagrangian 
    Solver for Advection Equation, 
    Comput.Phys.Commun. 116, pp.121-135 (1999).

T.Yabe Y.Zhang, and F.Xiao : A Numerical Procedure -CIP- to Solve All Phases 
    of Matter Together(Invited Lecture)
    Lecture Note in Physics pp.439-457 (Springer, 1998)

R.Tanaka, T.Yabe, T.Nakamura and H.Wu : A Class of Conservative Formulation of 
    the CIP Method
    CFD Journal  8-1, pp.1-5 (1999)

F.Xiao and T.Yabe : Computation of Complex Flows Containing Rheological Bodies
    CFD Journal  8-1, pp.43-49 (1999)

M.Tajima and T.Yabe : Simulation on Slamming of a Vessel by CIP Method
    J.Phys.Soc.Japan, 68, 2576-2584 (1999)

Takashi Yabe : A Dream to Solve All Phases of Matter Together with the CIP 
    Method (Invited Paper), Proc. 
    Numerical Astrophysics 98, Tokyo, March 10-13, 1998. 

T.Yabe : Simulaiton of Laser-Induced Melting and Evaporation Dynamics by the 
    Unified Solver CIP for Solid , Liquid and Gas, (Invited Paper)
    Mathermatical Modeling of Weld Phenomena 4
    (ed.H.Cerjak), pp26-36 (The University. Press, Cambridge1998)

Hidekazu Makuuchi, Takayuki Aoki and Takashi Yabe : Implicit CIP Method in Two 
    Dimensions,
    JSME Int. J. Vol. 40, 365-376(1997).

F.Xiao, T.Yabe, T.Ito and M.Tajima , An Algorithm for Simulating Solid Objects 
    Suspended in Stratified Flow
    Comput.Phys.Commun. 102, 147-160 (1997). 

F.Xiao, T.Yabe, N.Konma, A.Uchiyama, K.Akutsu and T.Ito : An Efficient Model 
    for Driven Flow and Application to a Gas Circuit Breaker
    Comput. Model. Simul. Eng. 1, 235-249 (1996).

H.Eldeib and T.Yabe : A Fast Computer Holography System and Its Experimental 
    Verification
    Comput. Model. Simul. Eng. 1, 251-261 (1996).

F.Xiao, T.Yabe and T.Ito : Constructing Oscillation Preventing Scheme for 
    Advection Equation by Rational Function.
    Comput. Phys. Commun. 93, 1- 12(1996).

F. Xiao, T.Yabe, G. Nizam and T.Ito : Constructing a Multi-Dimensional 
    Oscillation Preventing Scheme for Advection Equation by Rational Function 
    Comput. Phys. Commun. 93, 103`118(1996).

T.Ito, H.Eldeib, K.Yoshida, S.Takahashi, T.Yabe and T.Kunugi : Special-Purpose 
    Computer for Holography HORN-2
    Comput. Phys. Commun. 93, 13-20 (1996).

M.Ida and T.Yabe : Implcit CIP Method in One Dimension
    Comput. Phys. Commun. 92, 21- 26(1995).

T.Yabe and F.Xiao : Description of Complex and Sharp Interface with Fixed Grids
    in Incompressible and Compressible Fluid
    Comput. Math. Applic. 29(1), 15-25 (1995).

P.Y.Wang, S.Kozaki, M.Ohki and T.Yabe, A New Formulation of Absorbing Boundary 
    Conditions for Finite-Difference Time-Domain Method.
    IEIC Trans. Electron  E77-C, pp.1726-1730 (1994).

T.Ito, T.Yabe, M.Okazaki, M.Yanagi : Special-Purpose Computer HORN-1 for 
    Reconstruction of Virtual Image in Three Dimensions.
    Comput.Phys. Commun. 82, 104-110 (1994).

T.Yabe, T.Ito and M.Okazaki : Holography Machine HORN-1 for Computer-Aided 
    Retrieval of Virtual Three-Dimensional Image
    Jpn.J.Appl.Phys.  32, L1359-L1361 (1993)

T.Yabe and F.Xiao : Description of Complex and Sharp Interface during Shock 
    Wave Interaction with Liquid Drop
    J.Phys. Soc.Japan 62, 2537-2540 (1993)

P.Y.Wang, T.Yabe and T.Aoki : A General Hyperbolic Solver - the CIP Method - 
    Applied to Curvilinear Coordinate
    J.Phys.Soc. Japan 62, 1865-1871 (1993)

T.Ishikawa, P.Y.Wang, K.Wakui and T.Yabe : A Method for the High-Speed 
    Generation of Random Numbers with Arbitrary Distributions.
    Comput.Phys.Commun. 70, 501-509 (1992).

T.Yabe : A Universal Cubic Interpolation Solver for Compressible and 
    Incompressible Fluids. 
    Shock Waves  1, 187-195 (1991).

T.Yabe and P.Y.Wang : Unified Numerical Procedure for Compressible and 
    Incompressible Fluid.
    J.Phys. Soc. Japan, 60, 2105-2108 (1991). 

T.Yabe, T.Aoki, G.Sakaguchi, P.Y.Wang and T.Ishikawa : The Compact CIP 
    (Cubic-Interpolated Pseudo-Particle) Method as a Generall Hyperbolic 
    Solver.
    Computers and Fluids 19 , 421-431(1991). 

T.Yabe and T.Aoki : A Universal Solver for Hyperbolic Equations by Cubic-
    Polynomial Interpolation I. One-Dimensional Solver.
    Comput.Phys.Commun. 66, 219-232 (1991)

T.Yabe, T.Ishikawa, P.Y.Wang, T.Aoki, Y.Kadota and F.Ikeda : A Universal 
    Solver for Hyperbolic Equations by Cubic-Polynomial Interpolation  
    II. Two- and Three- Dimensional Solvers.
    Comput.Phys.Commun. 66, 233-242(1991).

Y.Kondoh, J.L.Liang, T.Yabe, T.Ishikawa and S.Yamaguchi : Local Multisubscales
    and Delta Function (LMS-DF) Method to Improve  Numerical Schemes for 
    Hyperbolic Equations.
    J.Phys.Soc.Japan  59 , 3033-3036(1990).

T.Yabe, T.Ishikawa, Y.Kadota and F.Ikeda : A Multidimensional Cubic-
    Interpolated Pseudoparticle (CIP) Method@without Time Splitting Technique 
    for Hyperbolic Equations.
    J.Phys.Soc.Japan  59 , 2301-2304(1990).

T.Yabe and E.Takei : A New Higher-Order Godunov Method for General  Hyerbolic 
    Equations.
    J.Phys.Soc.Japan,  57 , 2598-2601(1988).

H.Takewaki and T.Yabe : Cubic-Interpolated Pseudo Particle (CIP) Method 
    - Application to Nonlinear or Multi-Dimensional  Problems-,
    J.Comput.Phys., 70  , 355-372(1987).

H.Takewaki,A.Nishiguchi and T.Yabe : Cubic Interpolated Pseudoparticle Method 
    (CIP) for Solving Hyperbolic Type Equations.
    J.Comput.Phys., 61 , 261-268(1985).
    
A.Nishiguchi,S.Orii and T.Yabe : Vector Calculation of Particle Code.
    J.Comput.Phys., 61 , 519-522(1985).

A.Nishiguchi and T.Yabe : Second Order Fluid Particle Scheme.
    J.Comput.Phys.,52 , 390-413(1983).

A.Nishiguchi and T.Yabe : Finite-Sized Fluid Particle in a Nonuniform Moving 
    Grid.
    J.Comput.Phys., 47 , 297-302(1982).