Publication
Determining bound states in a semiconductor device with contacts using a nonlinear eigenvalue solver
Related publications (35)
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Recently, several theories including the replica method made predictions for the generalization error of Kernel Ridge Regression. In some regimes, they predict that the method has a 'spectral bias': decomposing the true function f* on the eigenbasis of the ...
JMLR-JOURNAL MACHINE LEARNING RESEARCH2022Complementary Asymptotically Sharp Estimates for Eigenvalue Means of Laplacians
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We present asymptotically sharp inequalities, containing a 2nd term, for the Dirichlet and Neumann eigenvalues of the Laplacian on a domain, which are complementary to the familiar Berezin-Li-Yau and Kroger inequalities in the limit as the eigenvalues tend ...
OXFORD UNIV PRESS2021Distributed Design for Decentralized Control using Chordal Decomposition and ADMM
We propose a distributed design method for decentralized control by exploiting the underlying sparsity properties of the problem. Our method is based on chordal decomposition of sparse block matrices and the alternating direction method of multipliers (ADM ...
2020On design strategies for binary dielectric metasurfaces based on the Fourier modal method
Binary dielectric metasurfaces are arrays of sub-wavelength structures that act as a thin layer of artificial material. They are generally lossless and relatively simple to fabricate since only a single structuring step is required. By carefully designing ...
EPFL2020Compress-and-restart block Krylov subspace methods for Sylvester matrix equations
Daniel Kressner, Stefano Massei, Kathryn Dianne Lund
Block Krylov subspace methods (KSMs) comprise building blocks in many state-of-the-art solvers for large-scale matrix equations as they arise, for example, from the discretization of partial differential equations. While extended and rational block Krylov ...
2020An Adjoint Approach for Stabilizing the Parareal Method
Jan Sickmann Hesthaven, Allan Svejstrup Nielsen, Yvon Maday
The parareal algorithm seeks to extract parallelism in the time-integration direction of time-dependent differential equations. While it has been applied with success to a wide range of problems, it suffers from some stability issues when applied to non-di ...
2015