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Finite Difference Neural Networks: Fast Prediction of Partial Differential Equations

机译：有限差分神经网络：偏微分方程的快速预测

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Zheng Shi; Nur Sila Gulgec; Albert S. Berahas; Shamim N. Pakzad; Martin Takac;
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1. Neural networks catching up with finite differences in solving partial differential equations in higher dimensions [J] . Avrutskiy Vsevolod I. Neural computing & applications . 2020,第17期

机译：神经网络赶上有限差异在较高尺寸中求解部分微分方程
2. Fast finite difference methods for space-time fractional partial differential equations in three space dimensions with nonlocal boundary conditions [J] . Zhao Meng, Wang Hong Applied numerical mathematics . 2019,第Nova期

机译：具有非局部边界条件的三个空间维时空分数阶偏微分方程的快速有限差分方法
3. Fast finite difference methods for space-time fractional partial differential equations in three space dimensions with nonlocal boundary conditions [J] . Zhao Meng, Wang Hong Applied numerical mathematics . 2019,第NOVa期

机译：具有非局部边界条件的三个空间维时空分数阶偏微分方程的快速有限差分方法
4. Finite Difference Neural Networks: Fast Prediction of Partial Differential Equations [C] . Zheng Shi, Nur Sila Gulgec, Albert S. Berahas, IEEE International Conference on Machine Learning and Applications . 2020

机译：有限差分神经网络：偏微分方程的快速预测
5. An efficient algorithm based on quadratic spline collocation and finite difference methods for parabolic partial differential equations. [D] . Chen, Tong. 2005

机译：一种基于二次样条搭配和有限差分法的抛物型偏微分方程的高效算法。
6. High accuracy finite difference approximation to solutions of elliptic partial differential equations [O] . Robert E. Lynch, John R. Rice 1978

机译：椭圆型偏微分方程解的高精度有限差分近似
7. Correction to: Neural networks catching up with finite differences in solving partial differential equations in higher dimension [O] . Vsevolod I. Avrutskiy 2020

机译：校正：神经网络追赶在较高尺寸中求解局部微分方程的有限差异
8. Topological Problems Arising when Solving Boundary Value Problems for Elliptic Partial Differential Equations by the Method of Finite Differences [R] . Cryer, C. W. 1969

机译：用有限差分法求解椭圆偏微分方程边值问题时的拓扑问题

Finite Difference Neural Networks: Fast Prediction of Partial Differential Equations

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