| Title:
|
A class of Kreiss-type uniformly bounded systems of operators (Preliminary communication) (English) |
| Author:
|
Marek, Ivo |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
10 |
| Issue:
|
4 |
| Year:
|
1969 |
| Pages:
|
641-652 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47Dxx |
| idZBL:
|
Zbl 0192.48104 |
| . |
| Date available:
|
2008-06-05T20:31:32Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105258 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/105271 |
| . |
| Reference:
|
[1] M. L. BUCHANAN: A necessary and sufficient condition for stability of difference schemes for initial value problems.SIAM J. Appl. Math. 11 (1963), 919-935. MR 0160324 |
| Reference:
|
[2] H. O. KREISS: Über Matrizen, die beschränkte Halbgruppen erzeugen.Math. Scand. 7 (1959), 71-80. Zbl 0090.09801, MR 0110952 |
| Reference:
|
[3] H. O. KREISS: Über die Stabilitätsdefinition für Differenzengleichungen, die partielle Differentialgleichungen approximieren.BIT 2 (1962), 153-181. Zbl 0109.34702, MR 0165712 |
| Reference:
|
[4] J. MILLER: On power-bounded operators and operators satisfying a resolvent condition.Numer. Math. 10 (1967), 389-396. Zbl 0166.41504, MR 0220080 |
| Reference:
|
[5] J. MILLER: On the resolvent of a linear operator associated with a well-posed Cauchy problem.Math. Comp. 22 (1968), 541-548. Zbl 0164.16702, MR 0233220 |
| Reference:
|
[6] J. MILLER G. STRANG: Matrix theorems for partial differential and difference equations.Math. Scand. 18 (1966), 113-133. MR 0209308 |
| Reference:
|
[7] K. W. MORTON: On a matrix theorem due to H. O. KREISS.Comm. Pure Appl. Math. 17 (1965), 375-380. MR 0170460 |
| Reference:
|
[8] K. W. MORTON S. SCHECHTER: On the stability of finite difference matrices.SIAM J. Numer. Anal. 2 (1965), 119-128. MR 0182170 |
| Reference:
|
[9] J. T. SCHWARTZ: Perturbations of spectral operators and applications. I.Bounded perturbations. Pacif. J. Math. 4 (1954). Zbl 0056.34901, MR 0063568 |
| Reference:
|
[10] G. STRANG: On numerical ranges and holomorphic semigroups.Journ. d analyse Mathem. XXII (1969), 299-318. Zbl 0177.36402, MR 0257814 |
| Reference:
|
[11] A. E. TAYLOR: Introduction to Functional Analysis.J. Wiley Publ., New York 1958. Zbl 0081.10202, MR 0098966 |
| Reference:
|
[12] V. THOMÉE: Stability theory for partial difference operators.SIAM Review 11 (1969), 152-195. MR 0250505 |
| Reference:
|
[13] B. WENDROFF: Well-posed problems and stable difference operators.SIAM J. Numer. Anal. 5 (1968), 71-82. Zbl 0157.22903, MR 0223110 |
| . |
