3 papers
math.NA2026
A perfectly matched layer approach for the spectral split-step Padé method
Daniel Walsken, Matthias Ehrhardt, Pavel Petrov
The split-step-Padé (SSP) method is widely used to model wave phenomena in various applications, including radio physics, optics and acoustics. In this method, the propagator of t…
cs.LG2025
Neuro-Spectral Architectures for Causal Physics-Informed Networks
Arthur Bizzi, Leonardo M. Moreira, Márcio Marques +9
Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving partial differential equations (PDEs). However, standard MLP-based PINNs often fail to con…
physics.ao-ph2025
Square Root Operators and the Well-Posedness of Pseudodifferential Parabolic Models of Wave Phenomena
Matthias Ehrhardt, Jochen Glück, Pavel Petrov +1
Pseudodifferential parabolic equations with an operator square root arise in wave propagation problems as a one-way counterpart of the Helmholtz equation. The expression under the…