IMA Journal of Applied Mathematics · 1980 · 14 citations · 0 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsSystems AnalysisError EstimationLinear AlgebraMatrix ComputationNumerical StabilityOperator TheorySystems Of Differential EquationsBounded Linear OperatorsError BoundsError Bounds EstimationLower Bounds Of ErrorTruncation Error
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.