Global ETD Search

1	On the convergence of random functions defined by interpolation Starkloff, Hans-Jörg, Richter, Matthias, vom Scheidt, Jürgen, Wunderlich, Ralf 31 August 2004 (has links) (PDF) In the paper we study sequences of random functions which are defined by some interpolation procedures for a given random function. We investigate the problem in what sense and under which conditions the sequences converge to the prescribed random function. Sufficient conditions for convergence of moment characteristics, of finite dimensional distributions and for weak convergence of distributions in spaces of continuous functions are given. The treatment of such questions is stimulated by an investigation of Monte Carlo simulation procedures for certain classes of random functions. In an appendix basic facts concerning weak convergence of probability measures in metric spaces are summarized. Monte Carlo simulation interpolation of random functions modes of convergence stationary random process weak convergence ddc:510
2	On the convergence of random functions defined by interpolation Starkloff, Hans-Jörg, Richter, Matthias, vom Scheidt, Jürgen, Wunderlich, Ralf 31 August 2004 (has links) In the paper we study sequences of random functions which are defined by some interpolation procedures for a given random function. We investigate the problem in what sense and under which conditions the sequences converge to the prescribed random function. Sufficient conditions for convergence of moment characteristics, of finite dimensional distributions and for weak convergence of distributions in spaces of continuous functions are given. The treatment of such questions is stimulated by an investigation of Monte Carlo simulation procedures for certain classes of random functions. In an appendix basic facts concerning weak convergence of probability measures in metric spaces are summarized. info:eu-repo/classification/ddc/510 ddc:510 Monte Carlo simulation interpolation of random functions modes of convergence stationary random process weak convergence
3	Introduction to some modes of convergence : Theory and applications Bolibrzuch, Milosz January 2017 (has links) 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. Modes of convergence uniform convergence pointwise convergence L1 convergence numerical methods differential equations big O notation central difference method topological space metric space bump function support Computational Mathematics Beräkningsmatematik Mathematical Analysis Matematisk analys

1

Page generated in 0.1004 seconds