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FN ISI Export Format VR 1.0 PT J AN 11130047 DT Journal Paper TI $$ AU $$ $$ SO Applied Numerical Mathematics PY 2009 PD December 2009 VL 59 IS 12 $$$ BP 3008 EP 3032 PS 3008-32 DI 10.1016/j.apnum.2009.07.008 LA English $$ PU Elsevier Science B.V. PV Netherlands NR 26 CO ANMAEL SN 0168-9274 ID [0168-9274/$30.00],[S0168-9274(09)00131-7],[10.1016/j.apnum.2009.07.008] UT INSPEC:11130047 ER 應(yīng)該出現(xiàn)UT ISI：.....的，為什么沒有呢？ |
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joyfox
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antiq
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antiq(金幣+5):請(qǐng)問如何選擇數(shù)據(jù)庫？ 2010-05-28 10:51:28
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你沒選對(duì)數(shù)據(jù)庫 FN ISI Export Format VR 1.0 PT J AU Dong, QL Cao, LQ AF Dong, Qiao-Li Cao, Li-Qun TI Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients SO APPLIED NUMERICAL MATHEMATICS LA English DT Article DE Homogenization; Multiscale asymptotic expansion; The wave equation with rapidly oscillating coefficients; Finite element method; Symplectic geometric scheme ID PERFORATED DOMAINS; ELLIPTIC PROBLEMS; HOMOGENIZATION AB In this paper, we discuss the multiscale analysis and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients. The formal multiscale asymptotic expansions of the solutions for these problems in four specific cases are presented. Higher order corrector methods are constructed and associated explicit convergence rates are obtained in some cases. A multiscale numerical method and a symplectic geometric scheme are introduced. Finally, some numerical results and unsolved problems are presented, and these numerical results support strongly the convergence theorem of this paper. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved. C1 [Dong, Qiao-Li; Cao, Li-Qun] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China. RP Dong, QL, Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China. EM dongql@lsec.cc.ac.cn FU National Natural Science Foundation of China [90405016]; Special Funds for Major State Basic Research Projects [2006CB605102] FX This work is supported by National Natural Science Foundation of China (grant #90405016), and Special Funds for Major State Basic Research Projects (grant #2006CB605102). NR 26 TC 0 PU ELSEVIER SCIENCE BV PI AMSTERDAM PA PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS SN 0168-9274 J9 APPL NUMER MATH JI Appl. Numer. Math. PD DEC PY 2009 VL 59 IS 12 BP 3008 EP 3032 DI 10.1016/j.apnum.2009.07.008 PG 25 SC Mathematics, Applied GA 502IX UT ISI:000270453100011 ER -------------------------------------------------------------------------------- EF |
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