A parallel method for the numerical solution of integro-differential equation with positive memory.
The method of the title apply the Fourier-Laplace transformation in time to obtain a set of complex-valued, elliptic problems parameterized by points on a contour in the complex plane. This leads to several elliptic problems (one for each point) and they can be solved in parallel, essentially without data communications. Then the time domain solution can be obtained by the Fourier-Laplace inversion formula. An error analysis of the method is presented, and the method is illustrated in detail by six numerical examples.
scientific article; zbMATH DE number 2031348
scientific article