Fast tensor product solvers for optimization problems with fractional differential equations as constraints
- Submitting institution
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University of Brighton
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 7127409
- Type
- D - Journal article
- DOI
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10.1016/j.amc.2015.09.042
- Title of journal
- Applied Mathematics and Computation
- Article number
- -
- First page
- 604
- Volume
- 273
- Issue
- -
- ISSN
- 0096-3003
- Open access status
- Out of scope for open access requirements
- Month of publication
- November
- Year of publication
- 2015
- URL
-
-
- Supplementary information
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-
- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
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3
- Research group(s)
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-
- Citation count
- 14
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- The numerical treatment of optimisation problems, where the constraints are given by fractional differential equations, leads to high dimensional tensor equations which pose substantial challenges to existing algorithms. This paper is significant because it develops algorithms that use a tensor-train format to reduce the amount of storage and computational time needed to solve the tensor equations, with the numerical cost remaining linear, rather than cubic, with respect to the discretisation mesh size.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -