From the 1 of 8 linked papers with an AI index.
8 papers
Waves 2026 Book of Abstracts
Lise-Marie Imbert-Gerard, Chrysoula Tsogka, Daniel Appelo +4
WAVES 2026, 17th International Conference on Mathematical and Numerical Aspects of Wave Propagation Concordia University (John Molson Building), Montreal, Canada, June 22-26, 2026…
Filon Methods for Highly Oscillatory Controlled Quantum Systems
Spencer Lee, Daniel Appelö
The paper introduces Filon and Controlled Filon numerical methods that efficiently solve highly oscillatory ordinary differential equations arising in the simulation of controlled…
A Sub-linear Low-Rank Solver for Poisson's Equation using Machine Learning Frameworks for GPU Acceleration
Måns I. Andersson, Daniel Appelö
In this paper we explore a fast Poisson solver for problems with a solution that is known to be low-rank. We use an adaptive and warm started cross approximation called Cross-DEIM…
The WaveHoltz Heterogeneous Multiscale Method
Amit Rotem, Olof Runborg, Daniel Appelö
We consider the numerical solution of the wave equation in materials with rapidly varying coefficients, and time harmonic sources. For these problems, direct discretization is proh…
Gregory Nested Picard Iteration Schemes for Open Quantum Systems Governed by the Lindblad Equation
Jiuhua Hu, Daniel Appelo, Yingda Cheng
Numerical simulation of quantum computing hardware and open quantum systems governed by the Lindblad equation is challenging due to the high dimensionality of the density matrix an…
High-Order Hermite Optimization: Fast and Exact Gradient Computation in Open-Loop Quantum Optimal Control using a Discrete Adjoint Approach
Spencer Lee, Daniel Appelo
This work introduces the High-Order Hermite Optimization (HOHO) method, an open-loop discrete adjoint method for quantum optimal control. Our method is the first of its kind to eff…