New Development of Numerical Methods for Partial Differential Equations with Singularities

奇异性偏微分方程数值方法的新进展

• 批准号: 24540108
• 负责人: FANG QING
• 金额: $ 3.24万
• 依托单位: Yamagata University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2012
• 资助国家: 日本
• 起止时间: 2012-04-01 至 2015-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24540108/
• 关键词: 偏微分方程式; 初期境界値問題; 特異性; 数値解法; 高精度; 有限差分法; 数値解析; 誤差評価; 放物型偏微分方程式; 初期値―境界値問題; 高精度数値解法; 有限差分スキーム; 被食者―捕食者システム; Hopf 分岐; 数値シミュレーション; 数値数学; 有理型関数; 値分布; 数値計算; 微分方程式; 境界値問題; 応用数学

项目成果

Uniqueness of Meromorphic Functions and Differential Polynomials

• DOI: 10.1155/2011/514218
• 发表时间: 2011-06
• 期刊: Int. J. Math. Math. Sci.
• 作者: Jin-dong Li

Effective Condition Numbers of Linear Systems Arising from Discretization of Elliptic Equations with Singularities

奇异点椭圆方程离散化线性系统的有效条件数

• 作者: Zi-Cai Li;Hung-Tsai Huang;Chien-Sen Huang;Tzon-Tzer Lu and Qing Fang;Akira Sakai;宇野 力;Xiao-Yu Zhang and Qing Fang;Akira Sakai;Qing Fang;坂井 哲;Qing Fang and Xiao-Yu Zhang;Akira Sakai;Qing Fang;Qing Fang;Akira Sakai;Kasahara Yuji; Kotani Shin'ichi;Xiao-Yu Zhang and Qing Fang;Akira Sakai;笠原勇二;Qing Fang;坂井 哲;Kasahara Yuji; Kotani Shin'ichi;Xiao-Yu Zhang and Qing Fang;Akira Sakai;笠原勇二;Akira Sakai;川谷淳・方青;笠原勇二;Qing Fang;Akira Sakai;Xiao-Yu Zhang and Qing Fang
• 通讯作者: Xiao-Yu Zhang and Qing Fang

Superconvergence of finite difference solutions of elliptic and parabolic equations

椭圆方程和抛物方程有限差分解的超收敛

• 发表时间: 2015
• 作者: Zi-Cai Li;Hung-Tsai Huang;Chien-Sen Huang;Tzon-Tzer Lu and Qing Fang;Akira Sakai;宇野 力;Xiao-Yu Zhang and Qing Fang;Akira Sakai;Qing Fang
• 通讯作者: Qing Fang

Superconvergence of FDM for IBV Problems of Parabolic Equations

抛物方程IBV问题的FDM超收敛

• 发表时间: 2013
• 期刊: Information
• 影响因子: 3.1
• 作者: Akira Sakai;Lung-Chi Chen;Qing Fang and Xiao-Yu Zhang;Eiichi Isogai and Chikara Uno;Lung-Chi Chen and Akira Sakai;Xiao-Yu Zhang and Qing Fang;Chikara Uno and Eiichi Isogai;Akira Sakai;坂井 哲;Xiao-Yu Zhang and Qing Fang
• 通讯作者: Xiao-Yu Zhang and Qing Fang

A sixth order numerical method for a class of nonlinear two-point boundary value problems

一类非线性两点边值问题的六阶数值方法

• DOI: 10.3934/naco.2012.2.31
• 发表时间: 2012
• 期刊: Numerical Algebra, Control and Optimization
• 作者: Zi-Cai Li;Hung-Tsai Huang;Chien-Sen Huang;Tzon-Tzer Lu and Qing Fang;Akira Sakai;宇野 力;Xiao-Yu Zhang and Qing Fang
• 通讯作者: Xiao-Yu Zhang and Qing Fang