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Volumn 27, Issue 1, 2009, Pages 45-67

The l1-stability of a hamiltonian-preserving scheme for the liouville equation with discontinuous potentials

Author keywords

Discontinuous potentials; Hamiltonian preserving schemes; l1 stability; Liouville equations; Semiclassical limit

Indexed keywords


EID: 61349152299     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (19)
  • 2
    • 34548683732 scopus 로고    scopus 로고
    • A Hamiltonian-preserving scheme for high frequency elastic waves in heterogeneous media
    • S. Jin and X. Liao, A Hamiltonian-preserving scheme for high frequency elastic waves in heterogeneous media, J. Hyperbol. Differ. Eq., 3:4 (2006), 741-777.
    • (2006) J. Hyperbol. Differ. Eq. , vol.3 , Issue.4 , pp. 741-777
    • Jin, S.1    Liao, X.2
  • 3
    • 55549106473 scopus 로고    scopus 로고
    • Computation of interface reflection and regular or diffuse transmission of the planar symmetric radiative transfer equation with isotropic scattering and its diffusion limit
    • S. Jin, X. Liao and X. Yang, Computation of interface reflection and regular or diffuse transmission of the planar symmetric radiative transfer equation with isotropic scattering and its diffusion limit, SIAM J. Sci. Comput, 30 (2008), 1992-2017.
    • (2008) SIAM J. Sci. Comput , vol.30 , pp. 1992-2017
    • Jin, S.1    Liao, X.2    Yang, X.3
  • 4
    • 16844373042 scopus 로고    scopus 로고
    • Computing multivalued physical observables for the semiclassical limit of the Schrodinger equation
    • S. Jin, H.L. Liu, S. Osher and Ft. Tsai, Computing multivalued physical observables for the semiclassical limit of the Schrodinger equation, J. Comput. Phys., 205 (2005), 222-241.
    • (2005) J. Comput. Phys. , vol.205 , pp. 222-241
    • Jin, S.1    Liu, H.L.2    Osher, S.3    Tsai, F.4
  • 5
    • 34548686622 scopus 로고    scopus 로고
    • A semiclassical transport model for thin quantum barriers
    • S. Jin and K. Novak, A semiclassical transport model for thin quantum barriers, Multiscale Model. Sim., 5:4 (2006), 1063-1086.
    • (2006) Multiscale Model. Sim. , vol.5 , Issue.4 , pp. 1063-1086
    • Jin, S.1    Novak, K.2
  • 6
    • 34548689607 scopus 로고    scopus 로고
    • A Semiclassical transport model for two-dimensional thin quantum Barriers
    • S. Jin and K. Novak, A Semiclassical transport model for two-dimensional thin quantum Barriers, J. Comput. Phys., 226 (2007), 1623-1644.
    • (2007) J. Comput. Phys. , vol.226 , pp. 1623-1644
    • Jin, S.1    Novak, K.2
  • 7
    • 33644957151 scopus 로고    scopus 로고
    • The Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials
    • S. Jin and X. Wen, The Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials, Comm. Math. Sci., 3 (2005), 285-315.
    • (2005) Comm. Math. Sci. , vol.3 , pp. 285-315
    • Jin, S.1    Wen, X.2
  • 8
    • 33644952544 scopus 로고    scopus 로고
    • Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds
    • S. Jin and X. Wen, Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds, J. Comput. Phys., 214 (2006), 672-697.
    • (2006) J. Comput. Phys. , vol.214 , pp. 672-697
    • Jin, S.1    Wen, X.2
  • 9
    • 34548672178 scopus 로고    scopus 로고
    • A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections
    • S. Jin and X. Wen, A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections, SIAM J. Numer. Anal., 44 (2006), 1801-1828.
    • (2006) SIAM J. Numer. Anal. , vol.44 , pp. 1801-1828
    • Jin, S.1    Wen, X.2
  • 10
    • 33749590992 scopus 로고    scopus 로고
    • Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation
    • S. Jin and X. Wen, Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation, Wave Motion, 43:8 (2006), 667-688.
    • (2006) Wave Motion , vol.43 , Issue.8 , pp. 667-688
    • Jin, S.1    Wen, X.2
  • 11
    • 61349157165 scopus 로고    scopus 로고
    • A hybrid phase-flow method for Hamiltonian systems with discontinuous Hamiltonians
    • to appear
    • S. Jin, H. Wu and Z. Huang, A hybrid phase-flow method for Hamiltonian systems with discontinuous Hamiltonians, SIAM J. Sci. Comput., to appear.
    • SIAM J. Sci. Comput.
    • Jin, S.1    Wu, H.2    Huang, Z.3
  • 12
    • 43049091907 scopus 로고    scopus 로고
    • Computational high frequency waves through curved interfaces via the Loiuville equation and geometric theory of diffraction
    • S. Jin and D. Yin, Computational high frequency waves through curved interfaces via the Loiuville equation and geometric theory of diffraction, J. Comput. Phys., 227 (2008), 6106-6139.
    • (2008) J. Comput. Phys. , vol.227 , pp. 6106-6139
    • Jin, S.1    Yin, D.2
  • 13
    • 57849152968 scopus 로고    scopus 로고
    • Computation of high frequency wave diffraction by a half plane via the Loiuville equation and geometric theory of diffraction
    • S. Jin and D. Yin, Computation of high frequency wave diffraction by a half plane via the Loiuville equation and geometric theory of diffraction, Commun. Comput. Phys., 4:5 (2008), 1106-1128.
    • (2008) Commun. Comput. Phys. , vol.4 , Issue.5 , pp. 1106-1128
    • Jin, S.1    Yin, D.2
  • 14
    • 0001314058 scopus 로고
    • Sur les measures de Wigner, Revista
    • P.L. Lions and T. Paul, Sur les measures de Wigner, Revista. Mat. Iberoamericana, 9 (1993), 553-618.
    • (1993) Mat. Iberoamericana , vol.9 , pp. 553-618
    • Lions, P.L.1    Paul, T.2
  • 15
    • 0012588539 scopus 로고    scopus 로고
    • A kinetic scheme for the Saint-Venant system with a source term
    • B. Perthame and C. Simeoni, A kinetic scheme for the Saint-Venant system with a source term, CALCOLO, 38:4 (2001), 201-231.
    • (2001) CALCOLO , vol.38 , Issue.4 , pp. 201-231
    • Perthame, B.1    Simeoni, C.2
  • 16
    • 68049110342 scopus 로고    scopus 로고
    • Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients II: Some related binomial coefficients inequalities
    • to appear
    • X. Wen, Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients II: Some related binomial coefficients inequalities, J. Comput. Math., to appear.
    • J. Comput. Math.
    • Wen, X.1
  • 17
    • 61349153427 scopus 로고    scopus 로고
    • 1-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials and perturbed initial data
    • Preprint
    • 1-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials and perturbed initial data, Preprint.
    • Wen, X.1
  • 18
    • 39749136585 scopus 로고    scopus 로고
    • 1-error estimates
    • 1-error estimates, J. Comput. Math., 26:1 (2008), 1-22.
    • (2008) J. Comput. Math. , vol.26 , Issue.1 , pp. 1-22
    • Wen, X.1    Jin, S.2
  • 19
    • 55349149052 scopus 로고    scopus 로고
    • 1-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials
    • 1-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials, SIAM J. Numer. Anal., 46 (2008), 2688-2714.
    • (2008) SIAM J. Numer. Anal. , vol.46 , pp. 2688-2714
    • Wen, X.1    Jin, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.