Green's function and stability of a linear partial difference scheme
The authors study a linear partial difference equation which arises from discretizing heat and first order wave equations. An explicit formula for Green's function of the equation is given. Various representation theorems, monotonicity, and oscillatory properties of Green's function are obtained. Several stability criteria for arbitrary solutions are given. Numerical computations are provided for comparison with theoretical results.
scientific article; zbMATH DE number 1192723