7 papers
Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay
Anıl Zenginoğlu, Sebastiano Bernuzzi, Andrea Nützi
Late-time wave tails decay at different rates along future null infinity and along timelike worldlines at finite radius. A compactified numerical evolution must represent both the…
Quantum error correction and biological error correction: A structural analogy between qubits and neurons
Ian Whitehouse, Anıl ZenginoÄlu, Franz Klein +5
We draw a structural analogy between quantum error correction (QEC) and error handling in neural circuits with respect to their redundant encodings and constraint-based inferences.…
Finite Elements for Helmholtz Scattering with Infinity as a Computational Boundary
Markus Wess, Anıl ZenginoÄlu
Building on the null-infinity-layer construction, we develop an H1-conforming finite-element formulation of hyperboloidal compactification for the exterior Helmholtz equation. A ch…
Hyperboloidal evolution for scalar scattering in Minkowski space
Ekrem S DemirboÄa, Anıl ZenginoÄlu
We develop a time-domain numerical framework for global scalar wave scattering in Minkowski spacetime. The main contribution is an exact conformal matching of three compactified re…
From Penrose to Melrose: Computing Scattering Amplitudes at Infinity for Unbounded Media
Anıl ZenginoÄlu
We develop a method to compute scattering amplitudes for the Helmholtz equation in variable, unbounded media with possibly long-range asymptotics. Combining Penrose's conformal com…
Perturbative Hyperboloidal Extraction of Gravitational Waves in 3+1 Numerical Relativity
Sebastiano Bernuzzi, Joan Fontbuté, Simone Albanesi +1
We present a framework to propagate to null infinity gravitational waves computed at timelike worldtubes in the interior of a 3+1 (Cauchy) numerical relativity simulations. In our…