Eigenvector Continuation and Projection-Based Emulators
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866916356796973056 |
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| author | Duguet, Thomas Ekström, Andreas Furnstahl, Richard J. König, Sebastian Lee, Dean |
| author_facet | Duguet, Thomas Ekström, Andreas Furnstahl, Richard J. König, Sebastian Lee, Dean |
| contents | Eigenvector continuation is a computational method for parametric eigenvalue problems that uses subspace projection with a basis derived from eigenvector snapshots from different parameter sets. It is part of a broader class of subspace-projection techniques called reduced-basis methods. In this colloquium article, we present the development, theory, and applications of eigenvector continuation and projection-based emulators. We introduce the basic concepts, discuss the underlying theory and convergence properties, and present recent applications for quantum systems and future prospects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_19419 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Eigenvector Continuation and Projection-Based Emulators Duguet, Thomas Ekström, Andreas Furnstahl, Richard J. König, Sebastian Lee, Dean Nuclear Theory Quantum Gases Numerical Analysis Nuclear Experiment Quantum Physics Eigenvector continuation is a computational method for parametric eigenvalue problems that uses subspace projection with a basis derived from eigenvector snapshots from different parameter sets. It is part of a broader class of subspace-projection techniques called reduced-basis methods. In this colloquium article, we present the development, theory, and applications of eigenvector continuation and projection-based emulators. We introduce the basic concepts, discuss the underlying theory and convergence properties, and present recent applications for quantum systems and future prospects. |
| title | Eigenvector Continuation and Projection-Based Emulators |
| topic | Nuclear Theory Quantum Gases Numerical Analysis Nuclear Experiment Quantum Physics |
| url | https://arxiv.org/abs/2310.19419 |