notesum.ai

Published at November 22

math.NA

Released Date: November 22, 2024

Authors: Gauthier Wissocq¹, Yongle Liu¹, Rémi Abgrall

Aff.: ¹Institute of Mathematics, University of Zurich, Switzerland

$\Delta x$	$L^{1}$ -error	rate	$L^{2}$ -error	rate	$L^{\infty}$ -error	rate
$1/20$	$3.23472\ 10^{-3}$	$-$	$3.57255\ 10^{-3}$	$-$	$4.57474\ 10^{-3}$	$-$
$1/40$	$7.94386\ 10^{-4}$	$2.03$	$8.79313\ 10^{-4}$	$2.02$	$1.13088\ 10^{-3}$	$2.02$
$1/80$	$1.97593\ 10^{-4}$	$2.01$	$2.18980\ 10^{-4}$	$2.01$	$2.82227\ 10^{-4}$	$2.00$
$1/160$	$4.93618\ 10^{-5}$	$2.00$	$5.46922\ 10^{-5}$	$2.00$	$7.04894\ 10^{-5}$	$2.00$
$1/320$	$1.23379\ 10^{-5}$	$2.00$	$1.36698\ 10^{-5}$	$2.00$	$1.76181\ 10^{-5}$	$2.00$
$1/640$	$3.08429\ 10^{-6}$	$2.00$	$3.41724\ 10^{-6}$	$2.00$	$4.40429\ 10^{-6}$	$2.00$