Introduction to some modes of convergence : Theory and applications
University essay from Mälardalens högskola/Akademin för utbildning, kultur och kommunikation
Abstract: This thesis aims to provide a brief exposition of some chosen modes of convergence; namely uniform convergence, pointwise convergence and L1 convergence. Theoretical discussion is complemented by simple applications to scientific computing. The latter include solving differential equations with various methods and estimating the convergence, as well as modelling problematic situations to investigate odd behaviors of usually convergent methods.
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