Spectral instability for some Schrödinger operators

Numerische Mathematik

Volumn 85, Issue 4, 2000, Pages 525-552

  Aslanyan, A ^a   Davies, E B ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034398218     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005391     Document Type: Article

References (25)

1. Abramov, A.A. (1961): Zh. vychisl. Mat. mat. Fiz. 1, 542-545 (Russian)
2. Abramov, A.A., Balla, K., Konyukhova, N.B. (1984): Comput. Math. Banach Center Publs 13, (1984) 319-351.
3. Abramov, A.A., Yukhno, L.F. (1994): Comp. Maths Math. Phys. 34, 671-677
4. N. S. Bakhvalov, Numerical Methods, (Nauka, Moscow 1973) (Russian).
5. Böttcher, A. (1994): J. Int. Eqns Appl. 6, 267-301
6. Böttcher, A. (1995): Lectures on Operator Theory and its Applications (Fields Institute Monographs, ed. Peter Lancaster. Amer. Math. Soc. Publ., Providence, RI) 2-74
7. Cycon, H.L., Froese, R.G., Kirsch, W., Simon, B. (1987): Schrödinger Operators; With Application to Quantum Mechanics and Global Geometry (Texts and Monographs in Physics, Springer-Verlag, Berlin)
8. Davies, E.B. (1997): Pseudospectra of differential operators (Preprint, King's College London, UK)
9. Davies, E.B. (1998): Proc. R. Soc. London A 455, 585-599
10. Davies, E.B. (1999): Commun. Math. Phys. 200, 35-41
11. Demmel, J.W. (1997): Applied Numerical Linear Algebra (SIAM, Philadelphia)
12. Godunov, S.K. (1961): Uspekhi Mat. Nauk 16, 3 (99), 171-174 (Russian)
13. Gohberg, I.C., Krein, M.G. (1969): Transl. Amer. Math. Soc. 18, 309-316
14. Golub, G.H., Van Loan, C.F. (1996): Matrix Computations (The Johns Hopkins University Press, Baltimore, London)
15. Hislopm, P.D., Sigal, I.M. (1966): Introduction to Spectral Theory (Springer-Verlag, New York)
16. Kato, T. (1966): Perturbation Theory of Linear Operators (Springer-Verlag, Berlin)
17. Reddy, S.C. (1993): J. Int. Eqns Appl. 5, 369-403
18. Reddy, S.C., Trefethen, L.N. (1994): SIAM J. Appl. Math. 54, 1634-1649
19. Reichel, L., Trefethen, L.N. (1992): Linear AIg. Appl. 162-164, 153-185
20. Rittby, M., Elander, N., Brändas, E. (1982): Molecular Physics 45, 553-572
21. Toh, K.-C., Trefethen, L.N. (1996): SIAM J. Sci. Comp. 17, 1-15
22. Trefethen, K.B., Griffiths, D.F., Watson, G.A. (1992): Numerical Analysis 1991 (Longman Sci. Tech. Publ., Harlow, UK) 234-266
23. Trefethen, L.N. (1997): SIAM Review 39, 383-406
24. Watkins, D.S. (1991): Fundamentals of Matrix Computations (Wiley, New York)
25. Wilkinson, J.H: (1965): The Algebraic Eigenvalue Problem (Oxford University Press, London, New York)