Physics Informed Extreme Learning Machine (PIELM)-A rapid method for the numerical solution of partial differential equations

Dwivedi Vikas; Srinivasan Balaji

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Physics Informed Extreme Learning Machine (PIELM)-A rapid method for the numerical solution of partial differential equations

机译：物理信息通知极端学习机（PIELM）-A偏微分方程数值解的快速方法

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《Neurocomputing》 |2020年第may28期|96-118|共23页
作者
Dwivedi Vikas; Srinivasan Balaji;
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作者单位

Indian Inst Technol Madras Dept Mech Engn Heat Transfer & Thermal Power Lab Chennai 600036 Tamil Nadu India;

Indian Inst Technol Madras Dept Mech Engn Heat Transfer & Thermal Power Lab Chennai 600036 Tamil Nadu India;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
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1. Discussion on ????????Numerical solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics????????, ????????Analogue solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics???????? and ????????Analogue solution of elliptic differential equations by conformal transformations???????? [J] . Electrical Engineers, Proceedings of the Institution of . 1971,第6期

机译：用连续特性方法讨论二阶双曲型偏微分方程的数值解??????，二阶双曲型的模拟解偏微分方程的连续特性方法和利用共形变换的椭圆型微分方程的模拟解
2. Numerical solution of several kinds of differential equations using block neural network method with improved extreme learning machine algorithm [J] . Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2020,第3期

机译：改进的极端学习机算法块神经网络方法几种微分方程的数值解
3. Solution of Biharmonic Equation in Complicated Geometries With Physics Informed Extreme Learning Machine [J] . Vikas Dwivedi, Balaji Srinivasan Journal of Computing and Information Science in Engineering . 2020,第6期

机译：物理学中复杂几何形状中的双音态方程解
4. Reduced basis method for the rapid and reliable solution of partial differential equations [C] . Yvon Maday International Congress of Mathematicians . 2006

机译：局部微分方程快速可靠地解的基础方法
5. Radial Basis Function Differential Quadrature Method for the Numerical Solution of Partial Differential Equations [D] . Watson, Daniel Wade. 2017

机译：径向基函数差分正交方法局部微分方程的数值解
6. ON A NEW APPROACH TO THE NUMERICAL SOLUTION OF A CLASS OF PARTIAL DIFFERENTIAL INTEGRAL EQUATIONS OF TRANSPORT THEORY [O] . Richard Bellman, Robert Kalaba 1965

机译：一类运输理论偏微分积分方程数值解的新方法
7. Physics Informed Extreme Learning Machine (PIELM)–A rapid method for the numerical solution of partial differential equations [O] . Vikas Dwivedi, Balaji Srinivasan 2020

机译：物理信息通知极端学习机（PIELM）-A偏微分方程数值解的快速方法
8. Machine Solutions of Partial Differential Equations in the Numerically Generated Coordinate Systems. [R] . warsi, z. u. a. thompson, j. f. jr 1977

机译：数值坐标系下偏微分方程的机器解。

Physics Informed Extreme Learning Machine (PIELM)-A rapid method for the numerical solution of partial differential equations

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