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A NEWTON MULTIGRID METHOD FOR QUASILINEAR PARABOLIC EQUATIONS

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Journal of Systems Science & Complexity 2005年第4期18卷 429-438页

作者： YU Xijun Laboratory of computational physics Institute of Applied Physics and Computational Mathematics P.O. Box 8009~26 Beijing 100088 China.

A combination of the classical Newton Method and the multigrid method, i.e., a Newton multigrid method is given for solving quasilinear parabolic equations discretized by finite elements. The convergence of the algorithm is obtained for only one step Newton iteration per level. The asymptotically computational cost for quasilinear parabolic problems is O（NNk） similar to multigrid method for linear parabolic problems.

关键词： Quasilinear parabolic equation finite element discretization Newton multi-grid method convergence analysis.

Dielectronic Recombination Rate Coefficients for Nickel-like Ytterbium

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Chinese Journal of Lasers 1996年第3期B5卷 242-247页

作者： ZHAO Libol LI Shichang(Institute of physics, Academic Sinica, P. O. Box 603, beijing 100080,Institute of applied physics and computational mathematics, P. O. Box 8009, beijing, china) Inst of physics Academia Sinica Beijing China

Ｄｉｅｌｅｃｔｒｏｎｉｃ　Ｒｅｃｏｍｂｉｎａｔｉｏｎ　Ｒａｔｅ　Ｃｏｅｆｆｉｃｉｅｎｔｓ　ｆｏｒ　Ｎｉｃｋｅｌ－ｌｉｋｅ　ＹｔｔｅｒｂｉｕｍＤｉｅｌｅｃｔｒｏｎｉｃＲｅｃｏｍｂｉｎａｔｉｏｎＲａｔｅＣｏｅｆｆｉｃｉｅ... 详细信息

Ｄｉｅｌｅｃｔｒｏｎｉｃ　Ｒｅｃｏｍｂｉｎａｔｉｏｎ　Ｒａｔｅ　Ｃｏｅｆｆｉｃｉｅｎｔｓ　ｆｏｒ　Ｎｉｃｋｅｌ－ｌｉｋｅ　ＹｔｔｅｒｂｉｕｍＤｉｅｌｅｃｔｒｏｎｉｃＲｅｃｏｍｂｉｎａｔｉｏｎＲａｔｅＣｏｅｆｆｉｃｉｅｎｔｓｆｏｒＮｉｃｋｅｌ－ｌｉｋｅ...

关键词： dielectronic recombination autoionizing state Auger rate

Site 0ccupancy of Alloying Elements and Their Effects on the D0_3 Phase Stability in Fe_3Al

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Journal of Materials Science & Technology 1999年第4期15卷 339-341页

作者： Jun CAF Shaojun LIU Ying LOU and Benkuan usDepartment 0f physics, beijing N0rmal University, beijing lO0875, chinaSuqing D UANInstitute of applied physics and Computati0nal mathematics, beijing 100088, china Department of physics Beijing Normal University Beijing 100875 China Institute of applied physics and computational mathematics Beijing 100088 China

The effects of ternary solutes Ti, Co, V, Cr, Ta, W and Mo on the D03 phase 5tability of Fe3Alintermetallics are investigated by tight-binding linear Muffin-tin orbitaI method. The predictedsite preference5 of these elements in Fe3AI are in agreement with the experimental *** calculated Iocal magnetic moment of Fe3AI is identical to the experimentaI. ln addition, itis found that the D03 phase stability of Fe3AI doped with Ti, V, Co and Cr depends on 'energygap- of energy band near Fermi level. while the D03 phase stability of Fe3AI doped with Ta, Wand Mo may be affected by Madelung energy.

关键词： Al Fe Site 0ccupancy of Alloying Elements and Their Effects on the D03 Phase Stability in Fe3Al

A BETTER DIFFERENCE SCHEME WITH FOUR NEAR-CONSERVED QUANTITIES FOR THE KdV EQUATION

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Journal of computational mathematics 1994年第3期12卷 224-234页

作者： Han Zhen (Computing Center Academia Sinica beijing china)Shen Long-jun(Institute of applied physics and computational mathematics, beijing, china) 中科院计算数学与科学工程计算所北京北京应用物理和计算数学所北京

In this paper, we present a new semi-discrete difference scheme for the KdV equation, which possesses the first four nearconserved quatities. The scheme is better than the past one given in [4], because its solution ... 详细信息

关键词： KdV A BETTER DIFFERENCE SCHEME WITH FOUR NEAR-CONSERVED QUANTITIES FOR THE KdV EQUATION EH

Attractors for the Ginzburg-Landau-BBME quations in an Unbounded Domain

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Communications in Nonlinear Science and Numerical Simulation 1998年第2期 26-30页

作者： Boling GUO * and Murong JIANG , * (Institute of applied physics and computational mathematics, beijing, 100088, china) (Department of mathematics, Yunnan University, Kunming 650091) (Graduate School of china Ac

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒ，ｗｅｉｎｔｅｎｄｔｏｓｔｕｄｙｔｈｅｅｘｉｓｔｅｎｃｅｏｆｔｈｅｇｌｏｂａｌａｔｒａｃｔｏｒｆｏｒｔｈｅｆｏｌｏｗｉｎｇｉｎｉｔｉａｌｖａｌｕｅｐｒｏｂｌｅｍｏｆＧｉｎ... 详细信息

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒ，ｗｅｉｎｔｅｎｄｔｏｓｔｕｄｙｔｈｅｅｘｉｓｔｅｎｃｅｏｆｔｈｅｇｌｏｂａｌａｔｒａｃｔｏｒｆｏｒｔｈｅｆｏｌｏｗｉｎｇｉｎｉｔｉａｌｖａｌｕｅｐｒｏｂｌｅｍｏｆＧｉｎｚｂｕｒｇＬａｎｄａｕｅｑｕａｔ...

关键词： unbounded domain attractor Ginzburg Landau coupled with BBM equation

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波导自由电子激光带能散度非定态增益

中国激光 1996年第10期23卷 888-892页

作者：束小建北京应用物理与计算数学研究所863

推导了带能散度的波导自由电子激光高、低两共振频率支的非定态增益解析公式．给出了近似显式公式，与数值模拟结果符合很好。从所得增益脉冲分布．估算了克服呆滞效应所需腔长失谐值，在时空框架内解释了自锁模机制。

关键词：自由电子激光波导增益定态

ELTA-WAVE IN A SIMPLE 1-D 2 x 2 HYPERBOLIC PROBLEM

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Journal of computational mathematics 1996年第4期14卷 311-318页

作者： S.L. Yang(Institute of applied mathematics, Chinese Academy of Sciences, beijing, china) Institute of applied mathematics Chinese Academy of Sciences Beijing China

A simple one-dimensional 2 x 2 hyperbolic system is considered in the *** model contains a linear hyperbolic equation, as well as a hyperbolic equation ofwhich the coefficients are about the solution of the linear one. The exact solution ispresented and discussed, then numerical experiments are given by TVD (or MmB)type schemes for Riemann problems. From the results, we know that the solutionsdo have δ-waves for some suitable initial data.

关键词： Zhang Figure DELTA-WAVE IN A SIMPLE 1-D 2 HYPERBOLIC PROBLEM

δ-WAVE FOR 1-D AND 2-D HYPERBOLIC SYSTEMS

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Journal of computational mathematics 1996年第3期14卷 256-262页

作者： S.L. Yang(Institute of applied mathematics, Chinese Academy of Sciences, beijing, china) CHINESE ACAD SCI INST APPL MATHBEIJINGPEOPLES R CHINA

Here a new kind of nonlinear wave, which is called δ-wave, is described by some high resolution difference solutions for Riemann problems of one-dimensional (1-D) and two-dimensional (2-D) nonlinear hyperbolic systems in conservation laws. Some phenomena are numerically shown for the solutions of Riemann problems for 2-D gas dynamics systems

关键词： Zhang WAVE FOR 1-D AND 2-D HYPERBOLIC SYSTEMS

Variation　of　Satellite　Intensity　Factors　with　n　in　the　1s~2s∈lc→1s~23dnl→1s~2pnl　Dielectronic　Recombination　of　Lithiumlike　Ions

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原子与分子物理学报 1995年第1期 99-106页

作者： Zhao Libo(Institute of physics Chinese Academy of Sciences P.O.Box 603 beijing 100080)Li Shichang(Institute Of applied physics and computational mathematics P. O. Box 8009 beijing 100088)

ＶａｒｉａｔｉｏｎｏｆＳａｔｅｌｌｉｔｅＩｎｔｅｎｓｉｔｙＦａｃｔｏｒｓｗｉｔｈｎｉｎｔｈｅ１ｓ~２ｓ∈ｌｃ→１ｓ~２３ｄｎｌ→１ｓ~２ｐｎｌＤｉｅｌｅｃｔｒｏｎｉｃＲｅｃｏｍｂｉｎａｔｉｏｎｏｆＬｉｔｈｉｕｍｌｉｋｅ... 详细信息

ＶａｒｉａｔｉｏｎｏｆＳａｔｅｌｌｉｔｅＩｎｔｅｎｓｉｔｙＦａｃｔｏｒｓｗｉｔｈｎｉｎｔｈｅ１ｓ~２ｓ∈ｌｃ→１ｓ~２３ｄｎｌ→１ｓ~２ｐｎｌＤｉｅｌｅｃｔｒｏｎｉｃＲｅｃｏｍｂｉｎａｔｉｏｎｏｆＬｉｔｈｉｕｍｌｉｋｅＩｏｎｓ￥ＺｈａｏＬｉｂｏ(Ｉｎｓ?..

关键词： Autoionization Dielectronic recombination Satellite intensity factor