On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method-Reference-Cited by-同舟云学术

On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method

Published:2017-11-08 Issue:3 Volume:75 Page:1500-1534
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Amat Sergio,Li Zhilin,Ruiz Juan

Funder

Fundación Séneca

Ministerio de Economía, Industria y Competitividad (ES)

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/article/10.1007/s10915-017-0596-3/fulltext.html

Reference31 articles.

1. de Boor, C.: A Practical Guide to Splines, vol. 27. Springer, New York (1980)

2. Harten, A., Osher, S.: Uniformly high-order accurate nonoscillatory schemes. I. SIAM J. Numer. Anal. 24(2), 279–309 (1987)

3. Harten, A., Engquist, B., Osher, S., Chakravarthy, S.R.: Uniformly high order accurate essentially non-oscillatory schemes. III. J. Comput. Phys. 71(2), 231–303 (1987)

4. Harten, A.: Multiresolution representation of data II. SIAM J. Numer. Anal. 33(3), 1205–1256 (1996)

5. Harten, A.: Multiresolution representation of data: a general framework. SIAM J. Numer. Anal. 33(3), 1205–1256 (1996)

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants;Computational and Applied Mathematics;2024-04-08

2. Detection, Measurement and Classification of Discontinuities of Signals Captured with Noise;Axioms;2024-01-19

3. A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities;BIT Numerical Mathematics;2024-01-04

4. Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms;Journal of Scientific Computing;2023-05-03

5. Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries;Journal of Computational Physics;2020-04