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- W3181506979 abstract "In this paper we propose two new quasi-boundary value methods for regularizing the ill-posed backward heat conduction problems. With a standard finite difference discretization in space and time, the obtained all-at-once nonsymmetric sparse linear systems have the desired block ω -circulant structure, which can be utilized to design an efficient parallel-in-time (PinT) direct solver that built upon an explicit FFT-based diagonalization of the time discretization matrix. Convergence analysis is presented to justify the optimal choice of the regularization parameter under suitable assumptions. Numerical examples are reported to validate our analysis and illustrate the superior computational efficiency of our proposed PinT methods." @default.
- W3181506979 created "2021-07-19" @default.
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- W3181506979 date "2023-02-01" @default.
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- W3181506979 title "Fast parallel-in-time quasi-boundary value methods for backward heat conduction problems" @default.
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- W3181506979 doi "https://doi.org/10.1016/j.apnum.2022.10.006" @default.
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