3 papers
math.NA2026
Resolving the Blow-Up: A Time-Dilated Numerical Framework for Multiple Firing Events in Mean-Field Neuronal Networks
Xu'an Dou, Louis Tao, Zhe Xue +1
In large-scale excitatory neuronal networks, rapid synchronization manifests as {multiple firing events (MFEs)}, mathematically characterized by a finite-time blow-up of the neuron…
quant-ph2026
Projection-Based Memory Kernel Coupling Theory for Quantum Dynamics: A Stable Framework for Non-Markovian Simulations
Wei Liu, Rui-Hao Bi, Yu Su +4
We present a projection-based, stability-preserving methodology for computing time correlation functions in open quantum systems governed by generalized quantum master equations wi…
quant-ph2025
Frozen Gaussian sampling algorithms for simulating Markovian open quantum systems in the semiclassical regime
Limin Xu, Zhen Huang, Zhennan Zhou
Simulating Markovian open quantum systems in the semiclassical regime poses a grand challenge for computational physics, as the highly oscillatory nature of the dynamics imposes pr…