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math.NA2023
Anisotropic Diffusion Stencils: From Simple Derivations over Stability Estimates to ResNet Implementations
Karl Schrader, Joachim Weickert, Michael Krause
Anisotropic diffusion processes with a diffusion tensor are important in image analysis, physics, and engineering. However, their numerical approximation has a strong impact on dis…
math.NA2021
Translating Numerical Concepts for PDEs into Neural Architectures
Tobias Alt, Pascal Peter, Joachim Weickert +1
We investigate what can be learned from translating numerical algorithms into neural networks. On the numerical side, we consider explicit, accelerated explicit, and implicit schem…