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Volumn 4, Issue 4, 1998, Pages 671-690

Semidiscretization in time for nonlinear Schrödinger-Waves equations

Author keywords

Crank Nicolson schemes; Oscillations; Schr dinger Equation; Wave equation

Indexed keywords


EID: 0032384306     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.1998.4.671     Document Type: Article
Times cited : (34)

References (10)
  • 1
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    • On fully discrete Gallerkin methods of second order temporal accuracy for the nonlinear Schrödinger equation
    • G. D. Akrivis, V. A. Dougalis and O. A. Karakashian, On fully discrete Gallerkin methods of second order temporal accuracy for the nonlinear Schrödinger equation Numer. Math. 59, 31-53, (1991).
    • (1991) Numer. Math. , vol.59 , pp. 31-53
    • Akrivis, G.D.1    Dougalis, V.A.2    Karakashian, O.A.3
  • 2
    • 0030242625 scopus 로고    scopus 로고
    • A perturbative analysis of the time-envelope approximation in strong Langmuir turbulence
    • L. Bergé, B. Bidegaray, T. Colin, A perturbative analysis of the time-envelope approximation in strong Langmuir turbulence, Physica D, vol. 95, No 3-4, pp 351-379 (1996).
    • (1996) Physica D , vol.95 , Issue.3-4 , pp. 351-379
    • Bergé, L.1    Bidegaray, B.2    Colin, T.3
  • 3
    • 0013077068 scopus 로고
    • A singular perturbation problem for an envelope equation in plasma physics
    • L. Bergé, T. Colin, A singular perturbation problem for an envelope equation in plasma physics, Physica D 84, 437-459, (1995).
    • (1995) Physica D , vol.84 , pp. 437-459
    • Bergé, L.1    Colin, T.2
  • 4
    • 49149142420 scopus 로고
    • Nonlinear Schrödinger evolution equations
    • H. Brezis, T. Gallouët, Nonlinear Schrödinger evolution equations, Nonlinear Analysis TMA, vol 4, No4, 677-681, (1980).
    • (1980) Nonlinear Analysis TMA , vol.4 , Issue.4 , pp. 677-681
    • Brezis, H.1    Gallouët, T.2
  • 5
    • 49149137309 scopus 로고
    • Finite difference solutions of a nonlinear Schrödinger equation
    • M. Delfour, M. Fortin and G. Payne, Finite difference solutions of a nonlinear Schrödinger equation, J. comput. Phys. 44, 277-288, (1981).
    • (1981) J. Comput. Phys. , vol.44 , pp. 277-288
    • Delfour, M.1    Fortin, M.2    Payne, G.3
  • 6
    • 49249148441 scopus 로고
    • On a class of nonlinear Schrödinger equations PartI,II
    • J. Ginibre, G. Velo, On a class of nonlinear Schrödinger equations PartI,II. J. Funct. Anal. 32, 1979, p1-32, 33-71; pari III Ann. Inst. H Poincaré, A 28, 1978, p287-316; The global Cauchy problem for the nonlinear Schrödinger equation revisited. Ann. Inst. H. Poincaré, Anal. Non Linéaire 2,1985 ,p309-402.
    • (1979) J. Funct. Anal. , vol.32 , pp. 1-32
    • Ginibre, J.1    Velo, G.2
  • 7
    • 0001274054 scopus 로고
    • On a class of nonlinear Schrödinger equations Part III
    • J. Ginibre, G. Velo, On a class of nonlinear Schrödinger equations PartI,II. J. Funct. Anal. 32, 1979, p1-32, 33-71; pari III Ann. Inst. H Poincaré, A 28, 1978, p287-316; The global Cauchy problem for the nonlinear Schrödinger equation revisited. Ann. Inst. H. Poincaré, Anal. Non Linéaire 2,1985 ,p309-402.
    • (1978) Ann. Inst. H Poincaré, A , vol.28 , pp. 287-316
  • 8
    • 85050669204 scopus 로고
    • The global Cauchy problem for the nonlinear Schrödinger equation revisited
    • J. Ginibre, G. Velo, On a class of nonlinear Schrödinger equations PartI,II. J. Funct. Anal. 32, 1979, p1-32, 33-71; pari III Ann. Inst. H Poincaré, A 28, 1978, p287-316; The global Cauchy problem for the nonlinear Schrödinger equation revisited. Ann. Inst. H. Poincaré, Anal. Non Linéaire 2,1985 ,p309-402.
    • (1985) Ann. Inst. H. Poincaré, Anal. Non Linéaire , vol.2 , pp. 309-402
  • 10
    • 84961470712 scopus 로고
    • Methods for the numerical solution of the nonlinear Schrödinger equation
    • J. M. Sanz-Serna, Methods for the numerical solution of the nonlinear Schrödinger equation Mathematics of computation, 43, 167, 21-27 (1984).
    • (1984) Mathematics of Computation , vol.43 , Issue.167 , pp. 21-27
    • Sanz-Serna, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.