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Strang, G.

On numerical ranges and holomorphic semigroups. (English) Zbl 0177.36402

J. Anal. Math. 22, 299-318 (1969).
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Keywords:

partial differential equations
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\textit{G. Strang}, J. Anal. Math. 22, 299--318 (1969; Zbl 0177.36402)
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References:

[1] H.-O. Kreiss, Über Matrizen die beschränkte Halbgruppen erzeugen,Math. Scand.,7 (1959) 71–80. · Zbl 0090.09801
[2] T. Kato and H. Tanabe, On the abstract evolution equation,Osaka Math. J.,14 (1962) 107–133. · Zbl 0106.09302
[3] T. Kato and H. Tanabe, On the analyticity of solutions of evolution equations,Osaka Math. J.,4 (1967) 1–4. · Zbl 0154.16403
[4] H. Tanabe, Evolution equations of parabolic type,Proc. Japan Acad.,37 (1961) 610–613. · Zbl 0104.34002
[5] P. E. Sobolevski, Parabolic type equations in Banach spaces,Trudy Moscow Math.,10 (1961) 297–350.
[6] H.-O. Kreiss, Über die Stabilitätsdefinition für Differenzengleichungen die partielle Differentialgleichungen approximieren,BIT 2 (1962) 153–181. · Zbl 0109.34702
[7] K. W. Morton and S. Schechter, On the stability of finite difference matrices,SIAM J. Num. Analysis,2 (1965) 119–128. · Zbl 0133.38101
[8] R. D. Richtmyer and K. W. Morton, Difference Methods for Initial-Value Problems, Interscience, New York, 1967. · Zbl 0155.47502
[9] K. W. Morton, On a matrix theorem due to H.-O. Kreiss,Comm. Pure Appl. Math.,17 (1965) 375–380. · Zbl 0146.13702
[10] J. Miller and G. Strang, Matrix theorems for partial differential and difference equations,Math. Scand.,18 (1966) 113–133. · Zbl 0144.13404
[11] J. Miller, On power-bounded operators and operators satisfying a resolvent condition,Numer. Math.,10 (1967) 389–396. · Zbl 0166.41504
[12] V. Thomée, Parabolic difference operators,Math. Scand.,19 (1966) 77–107. · Zbl 0171.13804
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