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LOCAL EXACT NUMERICAL METHODS FOR BOUNDARY VALUE PROBLEMS OF ODEs

MOU Zong-ze, LONG Yong-xing, PENG Dian-yun, MIAO Jing, HUANG Lin

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 2000, 17 (5): 565-572.

Abstract （227）

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It proposes three kinds of new difference schemes(exponential type,oscillatory type and exponential-oscillatory type) based on the coefficient structural characteristic and the behaviour of solution in the ODEs.The schemes can describe excellently dependent variables with steep gradient,shear layer and/orhighly oscillations.

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NUMERICAL PROBLEMS OF THE MAGNETIC FIELDS ON AN AXISYMMETRIC MODEL

Mou Zongze, Miao Jing, He Qibing, Jian Guangde, Li Huanxing, Luo Xinjun

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1996, 13 (1): 105-111.

Abstract （232）

PDF （344KB）（1053）

The oscillating solutions of the magnetic fields may arise on an axisymmetric model by using first order finite elements.In addtion,they may also occur for nonuniform grids.The paper analyses the cause of forming oscillating solutions and the behaviour of oscillating solutions.The methods of cancelling the oscillation are suggested.

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