An efficient flexible-order model for 3D nonlinear water waves. - Allan Peter Engsig-Karup; Harry B. Bingham; Ole Lindberg (J. Comput. Phys., 2009)

Development of a GPU-Accelerated Mike 21 Solver for Water Wave Dynamics. - Peter Edward Aackermann; Peter Juhler Dinesen Pedersen; Allan Peter Engsig-Karup; Thomas Clausen; Jesper Grooss (Facing the Multicore-Challenge, 2012)

A non-linear wave decomposition model for efficient wave-structure interaction. Part A: Formulation, validations and analysis. - Guillaume Ducrozet; Allan Peter Engsig-Karup; Harry B. Bingham; Pierre Ferrant (J. Comput. Phys., 2014)

On devising Boussinesq-type models with bounded eigenspectra: One horizontal dimension. - Claes Eskilsson; Allan Peter Engsig-Karup (J. Comput. Phys., 2014)

On the numerical and computational aspects of non-smoothnesses that occur in railway vehicle dynamics. - Hans True; Allan Peter Engsig-Karup; Daniele Bigoni (Math. Comput. Simul., 2014)

A stabilised nodal spectral element method for fully nonlinear water waves. - Allan Peter Engsig-Karup; Claes Eskilsson; Daniele Bigoni (J. Comput. Phys., 2016)

Spectral Tensor-Train Decomposition. - Daniele Bigoni; Allan Peter Engsig-Karup; Youssef M. Marzouk (SIAM J. Sci. Comput., 2016)

Numerical Multilevel Upscaling for Incompressible Flow in Reservoir Simulation: An Element-Based Algebraic Multigrid (AMGe) Approach. - Max la Cour Christensen; Umberto Villa; Allan Peter Engsig-Karup; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2017)

Screening wells by multi-scale grids for multi-stage Markov Chain Monte Carlo simulation. - Hani Akbari; Allan Peter Engsig-Karup (Math. Comput. Simul., 2018)

Oil production optimization of the SOLSORT reservoir. - Steen Hørsholt; Kent Johansen; Allan P. Engsig-Karup; Hamidreza M. Nick; John Bagterp Jørgensen (CCTA, 2019)

Reduced Order Modeling for Nonlinear PDE-constrained Optimization using Neural Networks. - Nikolaj Takata Mücke; Lasse Hjuler Christiansen; Allan Peter Engsig-Karup; John Bagterp Jørgensen (CDC, 2019)

Data-driven American Option Pricing using Artificial Neural Networks. - Hanen Borchani; Wojciech Michal Pawlak; Steffen Holmslykke; Allan Peter Engsig-Karup (ICDM (Posters), 2019)

A massively scalable distributed multigrid framework for nonlinear marine hydrodynamics. - Stefan Lemvig Glimberg; Allan Peter Engsig-Karup; Luke N. Olson (Int. J. High Perform. Comput. Appl., 2019)

A multiscale direct solver for the approximation of flows in high contrast porous media. - Hani Akbari; Allan Peter Engsig-Karup; Victor Ginting; Felipe Pereira (J. Comput. Appl. Math., 2019)

Efficient p-multigrid spectral element model for water waves and marine offshore structures. - Allan P. Engsig-Karup; Wojciech Laskowski (CoRR, 2020)

Efficient numerical room acoustic simulations with parametrized boundaries using the spectral element and reduced basis method. - Hermes Sampedro Llopis; Allan P. Engsig-Karup; Cheol-Ho Jeong; Finnur Pind; Jan S. Hesthaven (CoRR, 2021)

Physics-Informed Neural Networks (PINNs) for Sound Field Predictions with Parameterized Sources and Impedance Boundaries. - Nikolas Borrel-Jensen; Allan P. Engsig-Karup; Cheol-Ho Jeong (CoRR, 2021)

A spectral element solution of the 2D linearized potential flow radiation problem. - Jens Visbech; Allan P. Engsig-Karup; Harry B. Bingham (CoRR, 2022)

Accelerating hydrodynamic simulations of urban drainage systems with physics-guided machine learning. - Rocco Palmitessa; Morten Grum; Allan Peter Engsig-Karup; Roland Löwe (CoRR, 2022)

Reduced order modelling using parameterized non-uniform boundary conditions in room acoustic simulations. - Hermes Sampedro Llopis; Cheol-Ho Jeong; Allan P. Engsig-Karup (CoRR, 2023)

Solving the complete pseudo-impulsive radiation and diffraction problem using a spectral element method. - Jens Visbech; Allan P. Engsig-Karup; Harry B. Bingham (CoRR, 2023)

Sound propagation in realistic interactive 3D scenes with parameterized sources using deep neural operators. - Nikolas Borrel-Jensen; Somdatta Goswami; Allan P. Engsig-Karup; George Em Karniadakis; Cheol-Ho Jeong (CoRR, 2023)

Detecting Railway Track Irregularities Using Conformal Prediction. - Andreas Plesner; Allan P. Engsig-Karup; Hans True (ICANN (9), 2024)

A stable decoupled perfectly matched layer for the 3D wave equation using the nodal discontinuous Galerkin method. - Sophia Julia Feriani; Matthias Cosnefroy; Allan Peter Engsig-Karup; Tim Warburton; Finnur Pind; Cheol-Ho Jeong (CoRR, 2024)

A High-Order Hybrid-Spectral Incompressible Navier-Stokes Model For Nonlinear Water Waves. - Anders Melander; Max E. Bitsch; Dong Chen; Allan P. Engsig-Karup (CoRR, 2024)

Physics-Informed Holomorphic Neural Networks (PIHNNs): Solving Linear Elasticity Problems. - Matteo Calafà; Emil Hovad; Allan P. Engsig-Karup; Tito Andriollo (CoRR, 2024)

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves. - Anders Melander; Wojciech Laskowski; Spencer J. Sherwin; Allan P. Engsig-Karup (CoRR, 2024)

Massively parallel nodal discontinous Galerkin finite element method simulator for room acoustics. - Anders Melander; Emil Strøm; Finnur Pind; Allan P. Engsig-Karup; Cheol-Ho Jeong; Tim Warburton; Noel Chalmers; Jan S. Hesthaven (Int. J. High Perform. Comput. Appl., 2024)

A Spectral Element Solution of the Poisson Equation with Shifted Boundary Polynomial Corrections: Influence of the Surrogate to True Boundary Mapping and an Asymptotically Preserving Robin Formulation. - Jens Visbech; Allan P. Engsig-Karup; Mario Ricchiuto (J. Sci. Comput., 2025)

FNPF-SEM: A parallel spectral element model in Firedrake for fully nonlinear water wave simulations. - Jens Visbech; Anders Melander; Allan Peter Engsig-Karup (CoRR, 2025)

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains. - Matteo Calafà; Tito Andriollo; Allan P. Engsig-Karup; Cheol-Ho Jeong (CoRR, 2025)