We derive a model problem for quasicontinuum approximations that allows a simple, yet insightful, analysis of the optimal-order convergence rate in the continuum limit for both the energy-based ...
SIAM Journal on Numerical Analysis, Vol. 31, No. 3 (Jun., 1994), pp. 655-679 (25 pages) The accuracy of numerical approximations to piecewise smooth solutions of hyperbolic partial differential ...
In Advanced Mathematics, there is a topic called ‘ Errors and Approximations ‘ which deals with the quantum of errors made in measurement or estimation and its impact on final data value. The ...