非线性复合刚性发展方程高阶隐显方法的理论及其应用

11771060
2017
A0504.微分方程数值解
王晚生
面上项目
教授
上海师范大学
48万元
高阶隐显方法;稳定性;非线性抛物型方程;耗散性及收敛性;非线性复合刚性发展方程;非线性（偏）泛函微分方程
2018-01-01到2021-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Two-grid finite element methods for nonlinear time-fractional parabolic equations 期刊论文 Zhou Jie;Yao Xing;Wang Wansheng
2 中立型比例延迟微分系统线性θ-方法的渐近估计 期刊论文 张根根;肖爱国;王晚生
3 Optimal convergence orders of fully geometric mesh one-leg methods for neutral differential equations with vanishing variable delay 期刊论文 Wang Wansheng
4 An efficient variable step-size method for options pricing under jump-diffusion models with nonsmooth payoff function 期刊论文 Wang Wansheng;Mao Mengli;Wang Zheng
5 辐射流体动力学若干新的数值方法 专著 李寿佛
6 An explicit fourth-order energy-preserving difference scheme for the Riesz space-fractional Sine–Gordon equations 期刊论文 Xing Zhiyong;Wen Liping;Wang Wansheng
7 Quantitative Modeling and Analytical Calculation of Anelasticity for a Cyber-Physical System 期刊论文 Hongfang Gong;Renfa Li;Jiyao An;Yang Bai;Keqin Li
8 Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations 期刊论文 Wang Wansheng;Wang Zheng;Mao Mengli
9 Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations 期刊论文 Wang Wansheng;Mao Mengli;Wang Zheng
10 Efficient exponential splitting spectral methods for linear Schrodinger equation in the semiclassical regime 期刊论文 Wang Wansheng;Tang Jiao
11 An Efficient Algorithm for Options Under Merton's Jump-Diffusion Model on Nonuniform Grids 期刊论文 Chen Yingzi;Wang Wansheng;Xiao Aiguo
12 Long time H-alpha(s) stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity 期刊论文 Wang Wansheng;Wang Zheng;Li Zhaoxiang
13 An efficient difference scheme for time-fractional KdV equation 期刊论文 Xing Zhiyong;Wen Liping;Wang Wansheng
14 ON THE VARIABLE TWO-STEP IMEX BDF METHOD FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH INITIAL DATA ARISING IN FINANCE 期刊论文 Wang Wansheng;Chen Yingzi;Fang Hua
15 Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions 期刊论文 Chen Yingzi;Xiao Aiguo;Wang Wansheng
16 非线性中立型变延迟微分方程的长时间稳定性 期刊论文 王晚生;钟鹏;赵新阳
17 非线性中立型泛函微分方程数值分析 专著 王晚生
18 A posteriori error estimates for fully discrete finite element method for generalized diffusion equation with delay 期刊论文 王晚生;易利军;肖爱国
19 Hale中立型延迟微分方程的耗散性:新的准则及其应用 期刊论文 王晚生;黄艺;王为;饶婷
20 Message response time analysis for automotive cyber-physical systems with uncertain delay: An M/PH/1 queue approach 期刊论文 Gong Hongfang;Li Renfa;Bai Yang;An Jiyao;Li Keqin
21 An IMEX-BDF2 compact scheme for pricing options under regime-switching jump-diffusion models 期刊论文 Chen Yingzi;Xiao Aiguo;Wang Wansheng
22 Two-grid economical algorithms for parabolic integro-differential equations with nonlinear memory 期刊论文 Wang Wansheng;Hong Qingguo
23 An efficient two grid method for miscible displacement problem approximated by mixed finite element methods 期刊论文 Liu Shang;Chen Yanping;Huang Yunqing;Zhou Jie
24 Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson's blowflies models 期刊论文 Wang Wansheng;Zhang Chengjian
25 A POSTERIORI ERROR ANALYSIS FOR CRANK-NICOLSON-GALERKIN TYPE METHODS FOR REACTION-DIFFUSION EQUATIONS WITH DELAY 期刊论文 Wang Wansheng;Rao Ting;Shen Weiwei;Zhong Peng
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