论文信息 - Asymptotic behaviour of numerical solutions of an evolution equation with memory

Asymptotic behaviour of numerical solutions of an evolution equation with memory

We study the exponential decay of discrete and continuous solutions of a Volterra type integro-differential equation, in which the integral operator is a convolution of an exponentially decreasing scalar positive definite kernel and a positive definite operator, such as an elliptic differential operator. The equation is discretized in time by the backward Euler method in combination with convolution quadrature.

Vidar Thomée | William McLean | V. Thomée | W. McLean

[1] Vidar Thomée,et al. Discretization with variable time steps of an evolution equation with a positive-type memory term , 1996 .

[2] R. C. MacCamy,et al. An integro-differential equation with application in heat flow , 1977 .

[3] Vidar Thomée,et al. Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term , 1996, Math. Comput..

[4] C. Lubich. Convolution quadrature and discretized operational calculus. II , 1988 .

[5] Vidar Thomée,et al. Numerical solution of an evolution equation with a positive-type memory term , 1993, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.