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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：VC-PINN: variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient
VC-PINN 变系数 偏微分方程 正逆问题 变系数物理 知情神经网络
2023/11/13
The talk proposes a deep learning method specifically dealing with the forward and inverse problem of variable coefficient partial differential equations-Variable Coefficient Physics-Informed Neural N...
三亚国际数学论坛：几何与物理中的偏微分方程（Partial Differential Equations in Geometry and Physics）
三亚国际数学论坛 几何与物理中的偏微分方程
2018/1/11
PDEs are among the most powerful tools in both geometry and physics. Fundamental geometric problems like the Poincare ́ conjecture have been solved with PDEs, and the basic field equations of phy...
三亚国际数学论坛：Partial Differential Equations in Geometry and Physics
三亚国际数学论坛 Partial Differential Equations Geometry Physics
2017/11/24
PDEs are among the most powerful tools in both geometry and physics. Fundamental geometric problems like the Poincare ́ conjecture have been solved with PDEs, and the basic field equations of phy...
Mathematical theory of billiards is a fascinating subject providing a fertile source of new problems as well as conjecture
testing in dynamics, geometry, mathematical physics and spectral
theory. Th...
Barrier methods for critical exponent problems in geometric analysis and mathematical physics
Nonlinear elliptic equations geometric analysis Yamabe problem general relativity
2011/8/23
Abstract: We consider the design and analysis of numerical methods for approximating positive solutions to nonlinear geometric elliptic partial differential equations containing critical exponents. Th...