TY - JOUR
T1 - Asymptotics of Numerical Methods for Nonlinear Evolution Equations
AU - Drager, Lance D.
AU - Layton, William
AU - Mattheij, Robert M.M.
N1 - Funding Information:
*Work of the second author partially supported by M.C.S. 8202025.
PY - 1985/1/1
Y1 - 1985/1/1
N2 - We consider the evolution equation (E) du/dt = au + f(t,u), u(0) = u0 in a Hilbert space H, where A is assumed to generate a C0 semigroup. The asymptotic-in-time behavior of solutions to (E) is studied together with the asymptotic-in-time behavior of methods for approximating (E).
AB - We consider the evolution equation (E) du/dt = au + f(t,u), u(0) = u0 in a Hilbert space H, where A is assumed to generate a C0 semigroup. The asymptotic-in-time behavior of solutions to (E) is studied together with the asymptotic-in-time behavior of methods for approximating (E).
UR - http://www.scopus.com/inward/record.url?scp=77956913467&partnerID=8YFLogxK
U2 - 10.1016/S0304-0208(08)72702-6
DO - 10.1016/S0304-0208(08)72702-6
M3 - Article
AN - SCOPUS:77956913467
SN - 0304-0208
VL - 110
SP - 137
EP - 144
JO - North-Holland Mathematics Studies
JF - North-Holland Mathematics Studies
IS - C
ER -