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20092026
most citedDeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

3.4k citations · 27.2k across the 213 of their papers we have counts for

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Showing 2015Show all

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math.NA2015

Wiener chaos vs stochastic collocation methods for linear advection-diffusion equations with multiplicative white noise

Zhongqiang Zhang, Michael V. Tretyakov, Boris Rozovskii +1

We compare Wiener chaos and stochastic collocation methods for linear advection-reaction-diffusion equations with multiplicative white noise. Both methods are constructed based on…

physics.chem-ph2015

Mesoscale modeling of phase transition dynamics of thermoresponsive polymers

Zhen Li, Yu-Hang Tang, Xuejin Li +1

We present a non-isothermal mesoscopic model for investigation of the phase transition dynamics of thermoresponsive polymers. Since this model conserves energy in the simulations,…