메뉴 건너뛰기




Volumn 46, Issue 8-9, 2003, Pages 1443-1453

Sinc Collocation-Interpolation Method for the Simulation of Nonlinear Waves

Author keywords

Collocation interpolation methods; Korteweg de Vries; Nonlinear waves; Sinc functions; Sine Gordon; Solitons

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); FLUID MECHANICS; FUNCTIONS; INTERPOLATION; NONLINEAR SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; WAVE EQUATIONS;

EID: 0345327863     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)90232-X     Document Type: Article
Times cited : (26)

References (26)
  • 3
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • M.C. Cross and P.C. Hohenberg, Pattern formation outside of equilibrium, Rev. Mod. Phys. 65 (3), 851-1112, (1993).
    • (1993) Rev. Mod. Phys. , vol.65 , Issue.3 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.C.2
  • 4
    • 0004185917 scopus 로고
    • Wave evolution on a falling film
    • H.C. Chang, Wave evolution on a falling film, Ann. Rev. Fluid Mech. 28, 103-136, (1994).
    • (1994) Ann. Rev. Fluid Mech. , vol.28 , pp. 103-136
    • Chang, H.C.1
  • 6
    • 0033489494 scopus 로고    scopus 로고
    • A new view of nonlinear water waves: The Hubert spectrum
    • N.E. Huang, Z. Shen and S.R. Long, A new view of nonlinear water waves: The Hubert spectrum, Ann. Rev. Fluid Mech. 31, 417-458, (1999).
    • (1999) Ann. Rev. Fluid Mech. , vol.31 , pp. 417-458
    • Huang, N.E.1    Shen, Z.2    Long, S.R.3
  • 7
    • 0033489572 scopus 로고    scopus 로고
    • Nonlinear gravity and capillary-gravity waves
    • F. Dias and C. Kharif, Nonlinear gravity and capillary-gravity waves, Ann, Rev. Fluid Mech. 31, 301-346, (1999).
    • (1999) Ann, Rev. Fluid Mech. , vol.31 , pp. 301-346
    • Dias, F.1    Kharif, C.2
  • 8
    • 0023306712 scopus 로고
    • An engineer's guide to soliton phenomena: Application of the finite element method
    • J. Argyris and M. Haase, An engineer's guide to soliton phenomena: Application of the finite element method, Computer Meth. Appl. Mech. Engng. 61, 71-122, (1987).
    • (1987) Computer Meth. Appl. Mech. Engng. , vol.61 , pp. 71-122
    • Argyris, J.1    Haase, M.2
  • 10
    • 0032192822 scopus 로고    scopus 로고
    • A linearized implicit pseudo-spectral method for certain nonlinear water wave equations
    • K. Djidjeli, W.G. Price, P. Temarel and E.H. Twizell, A linearized implicit pseudo-spectral method for certain nonlinear water wave equations, Commun. Num. Meth. Engng. 14, 977-993, (1998).
    • (1998) Commun. Num. Meth. Engng. , vol.14 , pp. 977-993
    • Djidjeli, K.1    Price, W.G.2    Temarel, P.3    Twizell, E.H.4
  • 11
    • 0000140399 scopus 로고
    • Numerical methods based on Whittaker cardinal or Sine functions
    • F. Stenger, Numerical methods based on Whittaker cardinal or Sine functions, SIAM Review 23, 165-224, (1981).
    • (1981) SIAM Review , vol.23 , pp. 165-224
    • Stenger, F.1
  • 12
    • 0002800312 scopus 로고
    • Differential quadrature; Solution of nonlinear partial differential equations
    • R. Bellman, B. Kashef and J. Casti, Differential quadrature; Solution of nonlinear partial differential equations, J. Comp. Phys. 10, 40-52, (1972).
    • (1972) J. Comp. Phys. , vol.10 , pp. 40-52
    • Bellman, R.1    Kashef, B.2    Casti, J.3
  • 13
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics
    • C. Bert and M. Malik, Differential quadrature method in computational mechanics, Appl. Mech. Rev. 49, 1-27, (1996).
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 1-27
    • Bert, C.1    Malik, M.2
  • 14
    • 0029250480 scopus 로고
    • Solution of nonlinear initial-boundary value problems by Sine collocation-interpolation methods
    • N. Bellomo and L. Ridolfi, Solution of nonlinear initial-boundary value problems by Sine collocation-interpolation methods, Computers Math. Applic. 29 (4), 15-28, (1995).
    • (1995) Computers Math. Applic. , vol.29 , Issue.4 , pp. 15-28
    • Bellomo, N.1    Ridolfi, L.2
  • 15
    • 0001939954 scopus 로고
    • Stochastic partial differential equations in continuum physics
    • N. Bellomo and F. Flandoli, Stochastic partial differential equations in continuum physics, Mathl. Comp. in Simul. 31, 3-17, (1988).
    • (1988) Mathl. Comp. in Simul. , vol.31 , pp. 3-17
    • Bellomo, N.1    Flandoli, F.2
  • 16
    • 0031208868 scopus 로고    scopus 로고
    • Nonlinear models and problems in applied sciences: From differential quadrature to generalized collocation methods
    • N. Bellomo, Nonlinear models and problems in applied sciences: From differential quadrature to generalized collocation methods, Mathl. Comput. Modelling 28 (4), 13-34, (1997).
    • (1997) Mathl. Comput. Modelling , vol.26 , Issue.4 , pp. 13-34
    • Bellomo, N.1
  • 17
    • 0035341579 scopus 로고    scopus 로고
    • Solution of nonlinear problems in applied sciences by generalized collocation methods and Mathematica
    • N. Bellomo, E. De Angelis, L. Graziano and A. Romano, Solution of nonlinear problems in applied sciences by generalized collocation methods and Mathematica, Computers Math. Applic. 41 (10/11), 1343-1363, (2001).
    • (2001) Computers Math. Applic. , vol.41 , Issue.10-11 , pp. 1343-1363
    • Bellomo, N.1    De Angelis, E.2    Graziano, L.3    Romano, A.4
  • 18
    • 0346225579 scopus 로고    scopus 로고
    • Numerical analysis of iterative algorithms for an inverse boundary transport equation
    • V. Agoshov, E. Parmuzin, V. Shutyaev and C. Bardos, Numerical analysis of iterative algorithms for an inverse boundary transport equation, Math. Models Meth. Appl. Sci. 10, 11-30, (2000).
    • (2000) Math. Models Meth. Appl. Sci. , vol.10 , pp. 11-30
    • Agoshov, V.1    Parmuzin, E.2    Shutyaev, V.3    Bardos, C.4
  • 20
    • 0344871809 scopus 로고    scopus 로고
    • Identification of boundary conditions in nonlinear shallow water flow
    • F. Bosseur, F. Flori and P. Orenga, Identification of boundary conditions in nonlinear shallow water flow, Math. Models Meth. Appl. Sci. 11, 983-1001, (2001).
    • (2001) Math. Models Meth. Appl. Sci. , vol.11 , pp. 983-1001
    • Bosseur, F.1    Flori, F.2    Orenga, P.3
  • 24
    • 33748069497 scopus 로고
    • Korteweg-de Vries equation and generalization. II. Existence of conservation laws and constants of motion
    • R.M. Miura, C.S. Gardner and M.D. Kruskal, Korteweg-de Vries equation and generalization. II. Existence of conservation laws and constants of motion, J. Math Phys. 9, 1204-1209, (1968).
    • (1968) J. Math Phys. , vol.9 , pp. 1204-1209
    • Miura, R.M.1    Gardner, C.S.2    Kruskal, M.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.