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In this talk, we present a novel spectral re-normalization exponential integrator method for solving gradient flow problems. Our method is specifically designed to simultaneously satisfy discrete analogues of the energy dissipation laws and achieve high-order accuracy in time. To accomplish this, our method first incorporates the energy dissipation law into the target gradient flow equation by introducing a time-dependent spectral re-normalization (TDSR) factor....
The latest development of e-commerce transfers a part of the brands’ competition in the traditional market to a new channel, the livestreaming channel. In addition to the excitement generated by the very nature of livestreaming, consumers are attracted to the livestreaming channel because livestreamers often offer lowest-price guarantee....
Firms are increasingly disclosing Scope 3 (supply chain) carbon emissions in addition to Scope 1-2 (direct and energy consumption) emissions. Two common Scope 3 emission assessments exist: Life-Cycle which encompasses emissions of all firms in the supply chain, and Cradle-to-Gate which encompasses emissions of all upstream firms. One can also conceptualize a Gate-to-Grave assessment which encompasses emissions of all downstream firms....
Landslides pose a serious hazard to communities living in dynamic landscapes. To better understand how the earth moves we have investigated processes from the nano-scale to the mega-scale of our greatest mountain ranges. We use these observations to improve our knowledge of how earth materials become unstable and create safer communities....