Finite difference approximations for partial differential equations with rapidly oscillating coefficients-Reference-Cited by-同舟云学术

Finite difference approximations for partial differential equations with rapidly oscillating coefficients

Published:1991 Issue:6 Volume:25 Page:693-710
ISSN:0764-583X
Container-title:ESAIM: Mathematical Modelling and Numerical Analysis
language:
Short-container-title:ESAIM: M2AN

Author:

Avellaneda M.,Hou Th. Y.,Papanicolaou G. C.

Publisher

EDP Sciences

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Link

http://www.esaim-m2an.org/10.1051/m2an/1991250606931/pdf

Reference21 articles.

1. DEGIORGI E. and SPAGNOLO S., Sulla convergenza degli integrali dell'energia per operatori ellitici del secundo ordine, Boll. I.M.I., 8, 391-411, 1973.3482550274.35002

2. BABUSKA I., Solution of interface problems by homogenization I, II, III, SIAM J. Math. Analysis, 7, 603-345, 635-645, and 8, 923-937, 1976.5092730343.35023

3. TARTAR L., Cours Peccot, Paris 1977.

4. BENSOUSSAN A., LIONS J. L. and PAPANICOLAOU G., Asymptotic Analysis for Periodic Structures, North Holland, Amsterdam, 1978.5033300404.35001

5. SANCHEZ-PALENCIA E., Nonhomogeneous Media and Vibration Theory, Springer, 1980.5783450432.70002

Cited by 17 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. In memoriam: Marco Avellaneda (1955–2022);Mathematical Finance;2023-01

2. Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics;Numerische Mathematik;2017-01-09

3. Partial homogenization of discrete models;Applicable Analysis;2008-12

4. A Framework for Adaptive Multiscale Methods for Elliptic Problems;Multiscale Modeling & Simulation;2008-01

5. On Two Numerical Methods for Homogenization of Maxwell's Equations;Journal of Electromagnetic Waves and Applications;2007-01-01