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Convergence of a finite difference method for combustion model problems
Ying, LA
2004
关键词combustion finite difference method detonation wave stiff equation HYPERBOLIC CONSERVATION-LAWS NUMERICAL-METHODS WAVES TERMS
英文摘要We study a finite difference scheme for a combustion model problem. A projection scheme near the combustion wave, and the standard upwind finite difference scheme away from the combustion wave are applied. Convergence to weak solutions with a combustion wave is proved under the normal Courant-Friedrichs-Lewy condition. Some conditions on the ignition temperature are given to guarantee the solution containing a strong detonation wave or a weak detonation wave. Convergence to strong detonation wave solutions for the random projection method is also proved.; Mathematics, Applied; Mathematics; SCI(E); EI; 1; ARTICLE; SUPPL.; 121-135; 47
语种英语
出处EI ; SCI
出版者science in china series a mathematics
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/157999]  
专题数学科学学院
推荐引用方式
GB/T 7714
Ying, LA. Convergence of a finite difference method for combustion model problems. 2004-01-01.
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