Concept

Pointwise convergence

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Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

Pointwise convergence

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Spatiotemporal energy‐density distribution of time‐reversed electromagnetic fields

Residual-based attention in physics-informed neural networks

Spatiotemporal energy-density distribution of time-reversed electromagnetic fields

Functional data analysis with rough sample paths?

LDP and CLT for SPDEs with transport noise

Gyrokinetic simulations of plasma turbulence in a Z-pinch using a moment-based approach and advanced collision operators

Achieving Optimal Performance With Data-Driven Frequency-Based Control Synthesis Methods

Localization errors of the stochastic heat equation

Towards Understanding Sharpness-Aware Minimization

Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations

LDP and CLT for SPDEs with transport noise

Spatiotemporal energy‐density distribution of time‐reversed electromagnetic fields

Spatiotemporal energy-density distribution of time-reversed electromagnetic fields

Gyrokinetic simulations of plasma turbulence in a Z-pinch using a moment-based approach and advanced collision operators

Achieving Optimal Performance With Data-Driven Frequency-Based Control Synthesis Methods

Functional data analysis with rough sample paths?

Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations

Localization errors of the stochastic heat equation

Residual-based attention in physics-informed neural networks

Towards Understanding Sharpness-Aware Minimization