Results 11 to 20 of about 641 (184)
A Preconditioned Fast Collocation Method for a Linear Nonlocal Diffusion Model in Convex Domains
IEEE Access, 2020 Recently, there are many papers dedicated to develop fast numerical methods for nonlocal diffusion and peridynamic models. However, these methods require the physical domain where we solve the governing equations is rectangular. To relax this restriction,
Xuhao Zhang, Aijie Cheng, Hong Wang
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A preconditioned fast collocation method for a linear bond-based peridynamic model
Advances in Difference Equations, 2020 We develop a fast collocation method for a static bond-based peridynamic model. Based on the analysis of the structure of the stiffness matrix, a fast matrix-vector multiplication technique was found, which can be used in the Krylov subspace iteration ...
Xuhao Zhang +3 more
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Parallel primal‐dual interior point method for the solution of dynamic optimal power flow
IET Generation, Transmission & Distribution, 2023 This work presents a novel solution for accelerating the dynamic optimal power flow using a distributed‐memory parallelization approach. Unlike other two‐stage relaxation‐based approaches (such as ADMM), the proposed approach constructs the entire ...
Rylee Sundermann +4 more
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Solving Coupled Cluster Equations by the Newton Krylov Method
Frontiers in Chemistry, 2020 We describe using the Newton Krylov method to solve the coupled cluster equation. The method uses a Krylov iterative method to compute the Newton correction to the approximate coupled cluster amplitude.
Chao Yang +4 more
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LeXInt: Package for exponential integrators employing Leja interpolation
SoftwareX, 2023 We present a publicly available software for exponential integrators that computes the φl(z)functions using polynomial interpolation. The interpolation method at Leja points have recently been shown to be competitive with the traditionally-used Krylov ...
Pranab J. Deka +2 more
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Krylov subspace methods for the Dirac equation [PDF]
Computer Physics Communications, 2015 The Lanczos algorithm is evaluated for solving the time-independent as well as the time-dependent Dirac equation with arbitrary electromagnetic fields. We demonstrate that the Lanczos algorithm can yield very precise eigenenergies and allows very precise time propagation of relativistic wave packets.
Randolf Beerwerth, Heiko Bauke
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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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Inexact Krylov Subspace Methods for Linear Systems [PDF]
SIAM Journal on Matrix Analysis and Applications, 2004 This paper is devoted to the impact of perturbations of the matrix-vector product in various Krylov subspace solvers. This problem is related to the rounding errors analysis of Krylov subspace methods since in the latter case an inexact matrix-vector product is one source of errors.
Eshof, J. van den, Sleijpen, G.L.G.
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