赵龙斌,男,汉,1989年11月生,博士,讲师,数学与信息科学学院硕士生导师。
主要研究方向:
积分方程数值解,高振荡问题的高效算法
科研情况(近5年):
2017-2020,谱插值与谱展开的快速算法与分析,国家自然科学基金委面上项目,参与;
2018-2021,几类带非局部特征刚性问题的高效数值方法及其理论分析,国家自然科学基金委面上项目,参与;
2023-2024,第二类高振荡Volterra积分方程的数值方法研究,河南省自然科学基金青年项目,主持;
2022-2023,高振荡积分方程的广义积分法研究,河南理工大学青年探索创新性基金,主持;
2018-2021,一类高振荡Volterra积分方程的高阶配置方法研究,河南理工大学博士基金,主持.
论文情况(近5年):
[1] Longbin Zhao; Chengming Huang; The generalized quadrature method for a class of highly oscillatory Volterra integral equations, Numer. Algorithms, 2023, 92: 1503-1516
[2] Longbin Zhao; Pengde Wang; Error estimates of piecewise Hermite collocation method for highly oscillatory Volterra integral equation with Bessel kernel, Math. Comput. Simulation, 2022, 196: 137-150
[3] Longbin Zhao; Qiongqi Fan; Wanyuan Ming; Efficient collocation methods for Volterra integral equations with highly oscillatory kernel,J. Comput. Appl. Math., 2022, 404: 113871
[4] Longbin Zhao; Qiongqi Fan; Sheng Wang; High asymptotic order methods for highly oscillatory integral equations with trigonometric kernels, J. Comput. Appl. Math., 2022, 416: 114549
[5] Longbin Zhao; Chengming Huang; Exponential fitting collocation methods for a class of Volterra integral equations, Appl. Math. Comput., 2020, 376: 125121
[6] Wanyuan Ming; Chengming Huang; Longbin Zhao; Optimal superconvergence results for Volterra functional integral equations with proportional vanishing delays, Appl. Math. Comput., 2018, 320: 292-301
[7] Chao Yue; Longbin Zhao; Strong convergence of the split-step backward Euler method for stochastic delay differential equations with a nonlinear diffusion coefficient,J. Comput. Appl. Math.,2021, 382: 113087
E-mail:longbin_zhao@163.com
联系电话: 15938101782