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20142026
most citedSpectral tensor-train decomposition

123 citations · 447 across the 29 of their papers we have counts for

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8 papers · 1 filter

stat.ML2026

Conformalized Physics-Informed Weak Regression for Parameter Estimation in Epidemic Models

Allan Peter Engsig-Karup

Compartment models of infectious diseases are often linear in coefficients that are physical parameters or products or ratios of them. We exploit this with closed-form least square…

cs.LG2026

AURA: Angular Update Rate Adaptation for training complex-valued neural networks

Enrico Ballini, Allan Peter Engsig-Karup, Tito Andriollo

Complex-valued neural networks (CVNNs) are increasingly adopted for complex-valued data; however, they are often trained with first-order optimizers inherited from the real-valued…

physics.flu-dyn2026

A high-order polynomial-corrected shifted boundary method for simulating fully nonlinear water waves

Jens Visbech, Allan P. Engsig-Karup, Harry B. Bingham +1

We present a novel unfitted computational framework for simulating fully nonlinear potential flow-based water waves. Focusing on wave propagation, we describe the core methodology,…

physics.flu-dyn2026

Estimating Hydrodynamic Coefficients for Floating Offshore Structures from Movement Data Using Physics-Informed Neural Networks

Anders Schou, Jens Visbech, Allan Peter Engsig-Karup

We present a method for estimating the hydrodynamic coefficients in the Cummins equations using time-series data from a moving body, such as a floating offshore structure. The prop…

math.NA2026

A holomorphic neural network framework for 3D boundary value problems governed by harmonic potentials

Enrico Ballini, Allan Peter Engsig-Karup, Tito Andriollo

We present a neural-network-based framework for the solution of three-dimensional boundary value problems where the solution is expressible in terms of harmonic potentials. The app…

math.NA2026

An IMEX-DG solver with non-conforming mesh refinement for atmospheric dynamics with rotation

Letizia Bottani, Tommaso Benacchio, Giuseppe Orlando +2

We present a high-order implicit-explicit discontinuous Galerkin (IMEX-DG) solver for the compressible Euler equations to account for rotational effects within a fully compressible…

cs.CE2026

Reduced-Order Surrogates for Forced Flexible Mesh Coastal-Ocean Models

Freja Høgholm Petersen, Jesper Sandvig Mariegaard, Rocco Palmitessa +1

While proper orthogonal decomposition (POD)-based surrogates are widely explored for hydrodynamic applications, the use of Koopman autoencoders for real-world coastal-ocean modelli…

math.NA2026

An unstructured second-order subgrid method for the shallow water equations

Max Ebstrup Bitsch, Irene Torpe Heilmann, Allan Peter Engsig-Karup +2

We propose a new unstructured numerical subgrid method for solving the shallow water equations using a finite volume method with enhanced bathymetry resolution. The method employs…