Approximation of semilinear Cauchy problem for the second order equations in Banach spaces (2007)
T. Ergenc, B. Karasözen, S. Piskarev
this paper to consider the property of compactness and under the compactness condition consider the existence and approximation of the mild solution of (3). The following theorem ideologically is...
Stochastic methods for ill-posed problems (2007)
This paper is devoted to the numerical analysis of ill-posed problems of evolution equations in Banach spaces using certain classes of stochastic one step methods. The linear stability properties of...
Crank-Nicolson scheme for abstract linear systems (2007)
This paper studies the Crank-Nicolson discretization scheme for abstract differential equations on a general Banach space. We show that a time varying discretization of a bounded analytic...
The stability of rational approximations of analytic semigroups (1993)
M. Crouzeix, S. Larsson, S. Piskarev, V. Thom Ee
2 Abstract. It is shown that A-acceptable and, more generally, A(`)-acceptable rational approximations of bounded analytic semigroups in Banach space are stable. The result applies, in particular, to...