田红炯
田红炯

基本信息

  • 性别：男
  • 部门：数理学院
  • 聘任技术职务：教授
  • 学位：理学博士学位
  • 学历：博士研究生毕业
  • 毕业院校：Manchester
  • 联系电话：64323818
  • 电子邮箱：hjtian@shnu.edu.cn
  • 办公地点：徐汇校区三号楼310室
  • 通讯地址：桂林路100号上师大数学系

研究方向

主要从事常微分方程数值解和数值代数的研究工作。

学术成果（以下信息源于科研管理系统）

论文
  • [1] 田红炯·High asymptotic order numerical methods for highly oscillatory ODEs with large initial data·APPLIED MATHEMATICS LETTERS,卷: 161
  • [2] 田红炯·Compensated theta-Milstein methods for stochastic differential equations with Poisson jumps·APPLIED NUMERICAL MATHEMATICS,卷: 150页: 27-37
  • [3] 田红炯·The modified stochastic theta scheme for McKean-Vlasov stochastic differential equations under local one-sided Lipschitz conditions·APPLIED MATHEMATICS LETTERS,卷: 171
  • [4] 田红炯·hp-version C1-continuous Petrov-Galerkin method for nonlinear second-order initial value problems with application to wave equations·IMA JOURNAL OF NUMERICAL ANALYSIS,45
  • [5] 田红炯·A posteriori error estimates and time adaptivity for fully discrete finite element method for the incompressible Navier-Stokes equations·APPLIED NUMERICAL MATHEMATICS,卷: 216页: 17-38
  • [6] 田红炯·Theoretical and numerical analyses of stabilization of non-linear stochastic differential equations driven by Lévy processes via intermittent feedback controls·IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION,卷: 42期: 1
  • [7] 田红炯·An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels·APPLIED NUMERICAL MATHEMATICS,卷: 161页: 218-232
  • [8] 田红炯·The semi-implicit euler-maruyama method for nonlinear non-autonomous stochastic differential equations driven by a class of lévy processes·ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS,卷: 59期: 5页: 2329-2348
  • [9] 田红炯·A posteriori error estimates and adaptivity for the continuous Galerkin time-stepping method for nonlinear initial value problems·CALCOLO,卷: 62期: 2
  • [11] 田红炯·Legendre-Gauss-Radau spectral collocation method for nonlinear second-order initial value problems with applications to wave equations·JOURNAL OF COMPUTATIONAL MATHEMATICS,42
  • [12] 田红炯·hp-version C1-continuous Petrov–Galerkin method for nonlinear second-order initial value problems with application to wave equations·IMA Journal of Numerical Analysis,v 45,n 3,p1455-1500
  • [13] 田红炯·Deterministic implicit two-step Milstein methods for stochastic differential equations·STATISTICS ＆ PROBABILITY LETTERS,卷: 179
  • [14] 田红炯·The Linear Relationship Model with LASSO for Studying Stock Networks·ENTROPY,卷: 24期: 6
  • [15] 田红炯·Generalized two-step Milstein methods for stochastic differential equations·INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,卷: 97期: 7页: 1363-1379
  • [16] 田红炯·Asymptotic-numerical solvers for highly oscillatory ordinary differential equations and Hamiltonian systems·COMPUTATIONAL ＆ APPLIED MATHEMATICS,卷: 40期: 8
  • [17] 田红炯·Modified Filon-type methods for second-order highly oscillatory systems with a time-dependent frequency matrix·APPLIED MATHEMATICS LETTERS,卷: 139
  • [18] 田红炯·Hybrid Runge-Kutta methods for ordinary differential equations·COMPUTATIONAL ＆ APPLIED MATHEMATICS,卷: 39期: 3
  • [19] 田红炯·Asymptotic stability analysis of Runge-Kutta methods for differential-algebraic equations with multiple delays·CALCOLO,卷: 58期: 3
  • [20] 田红炯·一种基于Kolmogorov方程与ICMIC的图像加密方案·重庆师范大学学报(自然科学版),:,14
  • [21] 田红炯·FUNCTIONALLY-FITTED BLOCK theta-METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS·DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S,卷: 13期: 9页: 2603-2617特刊: SI
  • [22] 田红炯·Mean-square convergence and stability of two-step Milstein methods for stochastic differential equations with Poisson jumps·COMPUTATIONAL ＆ APPLIED MATHEMATICS,卷: 41期: 3
  • [23] 田红炯·An alternative approach for order conditions of Runge-Kutta-Nystrom methods·ADVANCES IN COMPUTATIONAL MATHEMATICS,卷: 47期: 5
  • [24] 田红炯·A posteriori error estimates and adaptivity for the IMEX BDF2 method for nonlinear parabolic equations·JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,卷: 457
  • [25] 田红炯·A variable step-size extrapolated Crank-Nicolson method for option pricing under stochastic volatility model with jump·MATHEMATICAL METHODS IN THE APPLIED SCIENCES,卷: 47期: 2页: 762-781
科研项目
  • [1] 田红炯.常微分方程高性能块方法及其应用,验收
  • [2] 田红炯.上海高校重点实验室《科学计算》运行费（学校配套）,在研
  • [3] 田红炯.中立型微分代数系统的计算方法及其数值分析,验收
  • [4] 田红炯.常微分方程函数拟合方法及其应用,验收
  • [5] 田红炯.泛函微分动力系统的计算方法及其应用,验收
  • [6] 田红炯.滞时泛函微分动力系统的计算方法,验收
  • [7] 田红炯.常微分方程初值问题若干新算法及其应用,验收
  • [8] 田红炯.高等学校博士学科点专项科研基金（20113127110003）（学校配套）,在研
  • [9] 田红炯.滞时泛函数分动力系统的计算及其应用,验收
  • [10] 田红炯.发展方程的高效算法,在研
  • [11] 田红炯.泛函微分方程的数值动力系统,验收
  • [12] 田红炯.高等学校博士学科点专项（20113127110003）学校配套,在研
  • [13] 田红炯.刚性滞时微分方程的研究,验收
  • [14] 田红炯.上海高校重点实验室《科学计算》运行费（学校配套）,在研
  • [15] 田红炯.随机常微分方程的块方法,在研
  • [16] 田红炯.高等学校博士学科点专项（20113127110003）学校配套,在研
  • [17] 田红炯.随机常微分方程的数值方法,在研
  • [18] 田红炯.高等学校博士学科点专项科研基金（20113127110003）（学校配套）,在研
  • [19] 田红炯.滞时微分动力系统的数值分析,验收
  • [20] 田红炯,匡蛟勋,喻全红,吴晶雯,谢丽.中立型微分代数系统的计算方法及其数值分析（教育部）,在研
  • [21] 田红炯.广义中立型微分代数系统的数值方法及其稳定性,在研
  • [22] 田红炯.滞时微分方程的数值处理,验收

教学工作

教职工课程信息
开课学年开课学期课程名称
2025-20262常微分方程数值解
2020-20212数值计算方法I
2019-20202数值计算方法I
2025-20262数值计算方法I
2021-20222数值计算方法I
2018-20192数值计算方法Ⅲ
2017-20182数值计算方法I
2024-20251教育见习
2022-20232数值计算方法I
2025-20261数值计算方法Ⅱ
2021-20222数值计算方法I
2024-20252教育见习
2024-20252计算方法
2016-20172研究生课程
2016-20172数值代数
2023-20241数值计算方法Ⅱ
2016-20171数值逼近
2021-20221数值计算方法Ⅱ
2024-20252教育见习
2023-20242数值计算方法I
2019-20201数值计算方法Ⅱ
2022-20232数值计算方法I
2024-20251数值计算方法Ⅱ
2025-20262计算方法
2022-20231数值计算方法Ⅱ
2023-20242计算方法
2017-20181数值逼近
2024-20252数值计算方法I
2025-20261数值计算方法Ⅱ
2020-20211数值计算方法Ⅱ
2022-20231数值计算方法Ⅱ
2021-20221数值计算方法Ⅱ
2018-20191数值计算方法Ⅱ
2023-20242教育见习
2023-20241数值计算方法Ⅱ
2018-20192数值计算方法I
2024-20251数值计算方法Ⅱ
2020-20212数值计算方法I
2023-20241教育见习

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