A class of Kreiss-type uniformly bounded systems of operators (Preliminary communication)

Ivo Marek

Commentationes Mathematicae Universitatis Carolinae (1969)

  • Volume: 010, Issue: 4, page 641-652
  • ISSN: 0010-2628

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Marek, Ivo. "A class of Kreiss-type uniformly bounded systems of operators (Preliminary communication)." Commentationes Mathematicae Universitatis Carolinae 010.4 (1969): 641-652. <http://eudml.org/doc/16349>.

@article{Marek1969,
author = {Marek, Ivo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {functional analysis},
language = {eng},
number = {4},
pages = {641-652},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A class of Kreiss-type uniformly bounded systems of operators (Preliminary communication)},
url = {http://eudml.org/doc/16349},
volume = {010},
year = {1969},
}

TY - JOUR
AU - Marek, Ivo
TI - A class of Kreiss-type uniformly bounded systems of operators (Preliminary communication)
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1969
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 010
IS - 4
SP - 641
EP - 652
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/16349
ER -

References

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  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. (1963) MR0160324
  2. H. O. KREISS, Über Matrizen, die beschränkte Halbgruppen erzeugen, Math. Scand. 7 (1959), 71-80. (1959) Zbl0090.09801MR0110952
  3. H. O. KREISS, Über die Stabilitätsdefinition für Differenzengleichungen, die partielle Differentialgleichungen approximieren, BIT 2 (1962), 153-181. (1962) Zbl0109.34702MR0165712
  4. J. MILLER, On power-bounded operators and operators satisfying a resolvent condition, Numer. Math. 10 (1967), 389-396. (1967) Zbl0166.41504MR0220080
  5. J. MILLER, On the resolvent of a linear operator associated with a well-posed Cauchy problem, Math. Comp. 22 (1968), 541-548. (1968) Zbl0164.16702MR0233220
  6. J. MILLER G. STRANG, Matrix theorems for partial differential and difference equations, Math. Scand. 18 (1966), 113-133. (1966) MR0209308
  7. K. W. MORTON, On a matrix theorem due to H. O. KREISS, Comm. Pure Appl. Math. 17 (1965), 375-380. (1965) MR0170460
  8. K. W. MORTON S. SCHECHTER, On the stability of finite difference matrices, SIAM J. Numer. Anal. 2 (1965), 119-128. (1965) MR0182170
  9. J. T. SCHWARTZ, Perturbations of spectral operators and applications. I, Bounded perturbations. Pacif. J. Math. 4 (1954). (1954) Zbl0056.34901MR0063568
  10. G. STRANG, On numerical ranges and holomorphic semigroups, Journ. d analyse Mathem. XXII (1969), 299-318. (1969) Zbl0177.36402MR0257814
  11. A. E. TAYLOR, Introduction to Functional Analysis, J. Wiley Publ., New York 1958. (1958) Zbl0081.10202MR0098966
  12. V. THOMÉE, Stability theory for partial difference operators, SIAM Review 11 (1969), 152-195. (1969) MR0250505
  13. B. WENDROFF, Well-posed problems and stable difference operators, SIAM J. Numer. Anal. 5 (1968), 71-82. (1968) Zbl0157.22903MR0223110

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