Results 11 to 20 of about 612 (138)
Energies, 2020 This paper presents an analysis of the time complexity of algorithms prepared for solving heat transfer problems at nanoscale. The first algorithm uses the classic Dual-Phase-Lag model, whereas the second algorithm employs a reduced version of the model ...
Tomasz Raszkowski, Mariusz Zubert
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Quantum Power Method by a Superposition of Time-Evolved States
PRX Quantum, 2021 We propose a quantum-classical hybrid algorithm of the power method, here dubbed as the quantum power method, to evaluate H[over ^]^{n}|ψ⟩ with quantum computers, where n is a non-negative integer, H[over ^] is a time-independent Hamiltonian of interest,
Kazuhiro Seki, Seiji Yunoki
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Real-Time Krylov Theory for Quantum Computing Algorithms [PDF]
Quantum, 2023 Quantum computers provide new avenues to access ground and excited state properties of systems otherwise difficult to simulate on classical hardware.
Yizhi Shen +5 more
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Sampling Error Analysis in Quantum Krylov Subspace Diagonalization [PDF]
QuantumQuantum Krylov subspace diagonalization (QKSD) is an emerging method used in place of quantum phase estimation in the early fault-tolerant era, where limited quantum circuit depth is available. In contrast to the classical Krylov subspace diagonalization
Gwonhak Lee, Dongkeun Lee, Joonsuk Huh
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A Geometric Multigrid Method for 3D Magnetotelluric Forward Modeling Using Finite-Element Method
Remote Sensing, 2023 The traditional three-dimensional (3D) magnetotelluric (MT) forward modeling using Krylov subspace algorithms has the problem of low modeling efficiency.
Xianyang Huang +8 more
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Extending quasi-GMRES method to solve generalized Sylvester tensor equations via the Einstein product [PDF]
Iranian Journal of Numerical Analysis and OptimizationThis paper aims to extend a Krylov subspace technique based on an in-complete orthogonalization of Krylov tensors (as a multidimensional exten-sion of the common Krylov vectors) to solve generalized Sylvester tensor equations via the Einstein product ...
M.M. Izadkhah
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On Numerical Approximations of the Koopman Operator
Mathematics, 2022 We study numerical approaches to computation of spectral properties of composition operators. We provide a characterization of Koopman Modes in Banach spaces using Generalized Laplace Analysis.
Igor Mezić
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Flexible Krylov Methods for Edge Enhancement in Imaging
Journal of Imaging, 2021 Many successful variational regularization methods employed to solve linear inverse problems in imaging applications (such as image deblurring, image inpainting, and computed tomography) aim at enhancing edges in the solution, and often involve non ...
Silvia Gazzola +2 more
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Structural Reliability Analysis Using Stochastic Finite Element Method Based on Krylov Subspace
AlgorithmsThe stochastic finite element method is an important tool for structural reliability analysis. In order to improve the calculation efficiency, a stochastic finite element method based on the Krylov subspace is proposed for the static reliability analysis
Jianyun Huang +3 more
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Reduced-Rank Adaptive Filtering Using Krylov Subspace
EURASIP Journal on Advances in Signal Processing, 2002 A unified view of several recently introduced reduced-rank adaptive filters is presented. As all considered methods use Krylov subspace for rank reduction, the approach taken in this work is inspired from Krylov subspace methods for iterative solutions ...
Burykh Sergueï, Abed-Meraim Karim
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