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Volumn 74, Issue 4-5, 2007, Pages 370-378

SpectrUW: A laboratory for the numerical exploration of spectra of linear operators

Author keywords

Computing Spectra; Floquet; Fourier; Hill; Stability

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL MODELS; NUMERICAL METHODS; THEOREM PROVING;

EID: 33847169349     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2006.10.011     Document Type: Article
Times cited : (24)

References (24)
  • 3
    • 0037194296 scopus 로고    scopus 로고
    • The linear stability of flat Stokes layers
    • Blennerhassett P.J., and Bassom A.P. The linear stability of flat Stokes layers. J. Fluid Mech. 464 (2002) 393-410
    • (2002) J. Fluid Mech. , vol.464 , pp. 393-410
    • Blennerhassett, P.J.1    Bassom, A.P.2
  • 4
    • 0034832495 scopus 로고    scopus 로고
    • Bose-Einstein condensates in standing waves: the cubic nonlinear Schrödinger equation with a periodic potential
    • Bronski J.C., Carr L.D., Deconinck B., and Kutz J.N. Bose-Einstein condensates in standing waves: the cubic nonlinear Schrödinger equation with a periodic potential. Phys. Rev. Lett. 86 (2001) 1402-1405
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 1402-1405
    • Bronski, J.C.1    Carr, L.D.2    Deconinck, B.3    Kutz, J.N.4
  • 5
    • 0035278170 scopus 로고    scopus 로고
    • Stability of repulsive Bose-Einstein condensates in a periodic potential
    • Bronski J.C., Carr L.D., Deconinck B., Kutz J.N., and Promislow K. Stability of repulsive Bose-Einstein condensates in a periodic potential. Phys. Rev. E 63 (2001) 036612
    • (2001) Phys. Rev. E , vol.63 , pp. 036612
    • Bronski, J.C.1    Carr, L.D.2    Deconinck, B.3    Kutz, J.N.4    Promislow, K.5
  • 8
    • 33750370251 scopus 로고    scopus 로고
    • Computing spectra of linear operators using Hill's method
    • Deconinck B., Kutz J.N., and Carter J.D. Computing spectra of linear operators using Hill's method. J. Comp. Phys. 219 (2006) 296-321
    • (2006) J. Comp. Phys. , vol.219 , pp. 296-321
    • Deconinck, B.1    Kutz, J.N.2    Carter, J.D.3
  • 9
    • 33845430110 scopus 로고    scopus 로고
    • Transverse instabilities of deep-water solitary waves
    • Deconinck B., Pelinovsky D., and Carter J.D. Transverse instabilities of deep-water solitary waves. Proc. R. Soc. A 462 (2006) 2039-2061
    • (2006) Proc. R. Soc. A , vol.462 , pp. 2039-2061
    • Deconinck, B.1    Pelinovsky, D.2    Carter, J.D.3
  • 10
    • 33847131106 scopus 로고    scopus 로고
    • E.J. Doedel, AUTO, http://indy.cs.concordia.ca/auto/, 2000.
  • 11
    • 0242533575 scopus 로고
    • Instability of periodic solutions of the nonlinear Schrödinger equation
    • Fil'chenkov S.E., Fraiman G.M., and Yunakovskii A.D. Instability of periodic solutions of the nonlinear Schrödinger equation. Sov. J. Plasma Phys. 13 8 (1987) 554-557
    • (1987) Sov. J. Plasma Phys. , vol.13 , Issue.8 , pp. 554-557
    • Fil'chenkov, S.E.1    Fraiman, G.M.2    Yunakovskii, A.D.3
  • 12
    • 0017854007 scopus 로고
    • The linear stability of flat Stokes layers
    • Hall P. The linear stability of flat Stokes layers. Proc. R. Soc. Lond. Ser. A 359 1697 (1978) 151-166
    • (1978) Proc. R. Soc. Lond. Ser. A , vol.359 , Issue.1697 , pp. 151-166
    • Hall, P.1
  • 13
    • 34250607598 scopus 로고
    • On the part of the lunar perigee which is a function of the mean motions of the sun and the moon
    • Hill G.W. On the part of the lunar perigee which is a function of the mean motions of the sun and the moon. Acta Math. 8 (1886) 1-36
    • (1886) Acta Math. , vol.8 , pp. 1-36
    • Hill, G.W.1
  • 14
    • 0002245635 scopus 로고
    • Nonlinear stability of fluids and plasma equilibria
    • Holm D.D., Marsden J.E., Ratiu T., and Weinstein A. Nonlinear stability of fluids and plasma equilibria. Phys. Rep. 123 (1985) 1-116
    • (1985) Phys. Rep. , vol.123 , pp. 1-116
    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.3    Weinstein, A.4
  • 16
    • 0001123379 scopus 로고
    • A generalization of some investigations of A. M. Lyapunov on linear differential equations with periodic coefficients
    • Krei{dotless}̌n M.G. A generalization of some investigations of A. M. Lyapunov on linear differential equations with periodic coefficients. Doklady Akad. Nauk. SSSR (N.S.) 73 (1950) 445-448
    • (1950) Doklady Akad. Nauk. SSSR (N.S.) , vol.73 , pp. 445-448
    • Kreǐn, M.G.1
  • 19
    • 0017277306 scopus 로고
    • The occurence of parametric instabilities in finite-amplitude internal gravity waves
    • Mied R.P. The occurence of parametric instabilities in finite-amplitude internal gravity waves. J. Fluid Mech. 78 4 (1976) 763-784
    • (1976) J. Fluid Mech. , vol.78 , Issue.4 , pp. 763-784
    • Mied, R.P.1
  • 21
    • 1442298807 scopus 로고
    • Band theory for the stability of nonlinear periodic waves in plasmas
    • Pavlenko V.I., and Petviashvili V.I. Band theory for the stability of nonlinear periodic waves in plasmas. Sov. J. Plasma Phys. 8 1 (1982) 117-120
    • (1982) Sov. J. Plasma Phys. , vol.8 , Issue.1 , pp. 117-120
    • Pavlenko, V.I.1    Petviashvili, V.I.2
  • 22
    • 33847141553 scopus 로고    scopus 로고
    • J.D.M. Rademacher, B. Sandstede, A. Scheel, Computing Absolute and Essential Spectra Using Continuation Methods, IMA UMN Preprint, 2054, 1857.
  • 23
    • 33847148631 scopus 로고    scopus 로고
    • The RSoft Design Group, BandSOLVE, http://www.rsoftdesign.com/products/component_design/BandSOLVE/, 2004.
  • 24
    • 0003424374 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics (SIAM), Philadelphia
    • Trefethen L.N., and Bau III D. Numerical Linear Algebra (1997), Society for Industrial and Applied Mathematics (SIAM), Philadelphia
    • (1997) Numerical Linear Algebra
    • Trefethen, L.N.1    Bau III, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.