Error Bounds for the Truncation of Infinite Linear Differential Systems
Kim Ho Chew, P. N. Shivakumar, J. J. Williams · IMA Journal of Applied Mathematics · 1980
An infinite system of linear differential equations of the form x˙ = Ax + f, x(0) = y is considered, where x, y and f are infinite column vectors in E, and A is a constant infinite matrix defining a bounded operator on E, where E is l1, (c0), or l∞. Explicit error bounds are obtained for the approximation of the solution of the infinite system by the solutions of the finite truncated systems.