메뉴 건너뛰기




Volumn 45, Issue 1-3, 2010, Pages 90-117

Numerical analysis of nonlinear eigenvalue problems

Author keywords

Finite element approximation; Ground state computations; Non linear eigenvalue problem; Numerical analysis; Spectral and pseudo spectral approximations

Indexed keywords

CONVERGENCE RATES; DISCRETIZATIONS; EIGEN-VALUE; EIGENPAIRS; EIGENVECTORS; ELLIPTIC EIGENVALUE PROBLEM; FINITE ELEMENT APPROXIMATIONS; FINITE-ELEMENT; FOURIER; GROUND-STATE ENERGIES; NON LINEAR EIGENVALUE PROBLEM; PERIODIC PROBLEMS; PRIORI ERROR ESTIMATE; PSEUDO-SPECTRAL APPROXIMATION; SOBOLEV NORMS; SPECTRAL APPROXIMATIONS; VARIATIONAL APPROXIMATION;

EID: 77956139484     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-010-9358-1     Document Type: Article
Times cited : (133)

References (15)
  • 2
    • 0035933396 scopus 로고    scopus 로고
    • SCF algorithms for Kohn-Sham models with fractional occupation numbers
    • 10.1063/1.1373430
    • E. Cancès 2001 SCF algorithms for Kohn-Sham models with fractional occupation numbers J. Chem. Phys. 114 10616 10623 10.1063/1.1373430
    • (2001) J. Chem. Phys. , vol.114 , pp. 10616-10623
    • Cancès, E.1
  • 3
    • 0742317141 scopus 로고    scopus 로고
    • Computational quantum chemistry: A primer
    • Ph. Ciarlet C. Le Bris (eds). North-Holland Amsterdam. Special volume: Computational Chemistry, vol. X
    • Cancès, E., Defranceschi, M., Kutzelnigg, W., Le Bris, C., Maday, Y.: Computational quantum chemistry: a primer. In: Ciarlet, Ph., Le Bris, C. (eds.) Handbook of Numerical Analysis, pp. 3-270. North-Holland, Amsterdam (2003). Special volume: Computational Chemistry, vol. X
    • (2003) Handbook of Numerical Analysis , pp. 3-270
    • Cancès, E.1    Defranceschi, M.2    Kutzelnigg, W.3    Le Bris, C.4    Maday, Y.5
  • 4
    • 0033690777 scopus 로고    scopus 로고
    • Can we outperform the DIIS approach for electronic structure calculations?
    • 10.1002/1097-461X(2000)79:2<82::AID-QUA3>3.0.CO;2-I
    • E. Cancès C. Le Bris 2000 Can we outperform the DIIS approach for electronic structure calculations? Int. J. Quantum Chem. 79 82 90 10.1002/1097-461X(2000)79:2<82::AID-QUA3>3.0.CO;2-I
    • (2000) Int. J. Quantum Chem. , vol.79 , pp. 82-90
    • Cancès, E.1    Le Bris, C.2
  • 7
    • 0038202144 scopus 로고    scopus 로고
    • Spectral method for the time-dependent Gross-Pitaevskii equation with harmonic traps
    • 10.1103/PhysRevE.67.046706
    • C. Dion E. Cancès 2003 Spectral method for the time-dependent Gross-Pitaevskii equation with harmonic traps Phys. Rev. E 67 046706 10.1103/PhysRevE.67.046706
    • (2003) Phys. Rev. e , vol.67 , pp. 046706
    • Dion, C.1    Cancès, E.2
  • 12
    • 0000538152 scopus 로고
    • Superposition of functions in Sobolev spaces of fractional order. A survey
    • 1205849
    • W. Sickel 1992 Superposition of functions in Sobolev spaces of fractional order. A survey Banach Center Publ. 27 481 497 1205849
    • (1992) Banach Center Publ. , vol.27 , pp. 481-497
    • Sickel, W.1
  • 13
    • 0000195746 scopus 로고
    • Le probléme de Dirichlet pour les équations elliptiques du second ordre á coefficients discontinues
    • 0151.15401 192177
    • G. Stampacchia 1965 Le probléme de Dirichlet pour les équations elliptiques du second ordre á coefficients discontinues Ann. Inst. Fourier 15 189 257 0151.15401 192177
    • (1965) Ann. Inst. Fourier , vol.15 , pp. 189-257
    • Stampacchia, G.1
  • 14
    • 1642308839 scopus 로고    scopus 로고
    • An analysis of finite-dimensional approximations for the ground state solution of Bose-Einstein condensates
    • 1051.35094 10.1088/0951-7715/17/2/010 2039057
    • A. Zhou 2004 An analysis of finite-dimensional approximations for the ground state solution of Bose-Einstein condensates Nonlinearity 17 541 550 1051.35094 10.1088/0951-7715/17/2/010 2039057
    • (2004) Nonlinearity , vol.17 , pp. 541-550
    • Zhou, A.1
  • 15
    • 33847042208 scopus 로고    scopus 로고
    • Finite dimensional approximations for the electronic ground state solution of a molecular system
    • 1119.35095 10.1002/mma.793
    • A. Zhou 2007 Finite dimensional approximations for the electronic ground state solution of a molecular system Math. Meth. Appl. Sci. 30 429 447 1119.35095 10.1002/mma.793
    • (2007) Math. Meth. Appl. Sci. , vol.30 , pp. 429-447
    • Zhou, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.