From the 1 of 8 linked papers with an AI index.
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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…
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…
Completely Positive and Trace Preserving Schemes with Tensor Train Compression for the Lindblad Equation
Peter DelMastro, Daniel Appelö, Yingda Cheng
We propose a family of low-rank, completely positive and trace preserving schemes for the Lindblad equation, a common model for open quantum systems. Low-rank representation is emp…
Arbitrary High Order Low-rank Completely Positive and Trace Preserving (CPTP) Schemes for Lindblad Equations with Time-dependent Hamiltonian
Jiuhua Hu, Daniel Appelo, Yingda Cheng
In this paper, we develop a framework for designing arbitrary high order low-rank schemes for the Lindblad equation with time-dependent Hamiltonians. Our approach is based on neste…