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Published at December 3

Weighted Essentially Non-Oscillatory Shepard method

math.NA

cs.NA

Released Date: December 3, 2024

Authors: David Levin, José M. Ramón¹, Juan Ruiz-Alvarez², Dionisio F. Yáñez

Aff.: ¹Universidad de Valencia; ²Universidad Politécnica de Cartagena

Arxiv: http://arxiv.org/pdf/2412.02286v1

Refer to caption

(W2)	Shepard			WENO-Shepard			Shepard			WENO-Shepard
$l$	$\text{MAE}_{l}$	$r_{l}^{\infty}$		$\text{MAE}_{l}$	$r_{l}^{\infty}$		$\text{RMSE}_{l}$	$r_{l}^{2}$		$\text{RMSE}_{l}$	$r_{l}^{2}$
$4$	6.1891e-02	-		1.4160e-01	-		1.5976e-02	-		4.4803e-02
$5$	2.1657e-02	1.5149		5.4509e-02	1.3773		4.7667e-03	1.7448		1.5903e-02	1.4943
$6$	1.1315e-02	0.9365		1.7315e-02	1.6545		1.5991e-03	1.5758		4.6052e-03	1.7879
$7$	5.7795e-03	0.9693		4.6431e-03	1.8989		6.6941e-04	1.2563		9.5190e-04	2.2744
(W4)	Shepard			WENO-Shepard			Shepard			WENO-Shepard
$l$	$\text{MAE}_{l}$	$r_{l}^{\infty}$		$\text{MAE}_{l}$	$r_{l}^{\infty}$		$\text{RMSE}_{l}$	$r_{l}^{2}$		$\text{RMSE}_{l}$	$r_{l}^{2}$
$4$	4.7978e-02			1.1916e-01			1.2350e-02	-		3.6371e-02
$5$	1.6849e-02	1.5097		4.3702e-02	1.4471		3.6356e-03	1.7643		1.2588e-02	1.5307
$6$	8.8017e-03	0.9368		1.3690e-02	1.6746		1.2311e-03	1.5623		3.6177e-03	1.7989
$7$	4.4875e-03	0.9719		3.6360e-03	1.9126		5.1835e-04	1.2479		7.3183e-04	2.3055