Matches in SemOpenAlex for { <https://semopenalex.org/work/W4323267210> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W4323267210 endingPage "112041" @default.
- W4323267210 startingPage "112041" @default.
- W4323267210 abstract "Physics informed neural networks have been recently proposed and offer a new promising method to solve differential equations. They have been adapted to many more scenarios and different variations of the original method have been proposed. In this case study we review many of these variations. We focus on variants that can compensate for imbalances in the loss function and perform a comprehensive numerical comparison of these variants with application to gas transport problems. Our case study includes different formulations of the loss function, different algorithmic loss balancing methods, different optimization schemes and different numbers of parameters and sampling points. We conclude that the original PINN approach with specifically chosen constant weights in the loss function gives the best results in our tests. These weights have been obtained by a computationally expensive random-search scheme. We further conclude for our test case that loss balancing methods which were developed for other differential equations have no benefit for gas transport problems, that the control volume physics informed formulation has no benefit against the initial formulation and that the best optimization strategy is the L-BFGS method." @default.
- W4323267210 created "2023-03-06" @default.
- W4323267210 creator A5033982876 @default.
- W4323267210 creator A5074315296 @default.
- W4323267210 creator A5081378382 @default.
- W4323267210 creator A5082114163 @default.
- W4323267210 date "2023-05-01" @default.
- W4323267210 modified "2023-10-02" @default.
- W4323267210 title "Physics informed neural networks: A case study for gas transport problems" @default.
- W4323267210 cites W1555627060 @default.
- W4323267210 cites W2004546259 @default.
- W4323267210 cites W2899283552 @default.
- W4323267210 cites W2964059469 @default.
- W4323267210 cites W2998366519 @default.
- W4323267210 cites W3010839048 @default.
- W4323267210 cites W3137474564 @default.
- W4323267210 cites W3176116059 @default.
- W4323267210 cites W3200673624 @default.
- W4323267210 cites W3215332512 @default.
- W4323267210 doi "https://doi.org/10.1016/j.jcp.2023.112041" @default.
- W4323267210 hasPublicationYear "2023" @default.
- W4323267210 type Work @default.
- W4323267210 citedByCount "1" @default.
- W4323267210 countsByYear W43232672102023 @default.
- W4323267210 crossrefType "journal-article" @default.
- W4323267210 hasAuthorship W4323267210A5033982876 @default.
- W4323267210 hasAuthorship W4323267210A5074315296 @default.
- W4323267210 hasAuthorship W4323267210A5081378382 @default.
- W4323267210 hasAuthorship W4323267210A5082114163 @default.
- W4323267210 hasBestOaLocation W43232672101 @default.
- W4323267210 hasConcept C106131492 @default.
- W4323267210 hasConcept C11413529 @default.
- W4323267210 hasConcept C126255220 @default.
- W4323267210 hasConcept C132721684 @default.
- W4323267210 hasConcept C134306372 @default.
- W4323267210 hasConcept C14036430 @default.
- W4323267210 hasConcept C140779682 @default.
- W4323267210 hasConcept C151319957 @default.
- W4323267210 hasConcept C154945302 @default.
- W4323267210 hasConcept C28826006 @default.
- W4323267210 hasConcept C31258907 @default.
- W4323267210 hasConcept C31972630 @default.
- W4323267210 hasConcept C33923547 @default.
- W4323267210 hasConcept C41008148 @default.
- W4323267210 hasConcept C50644808 @default.
- W4323267210 hasConcept C77618280 @default.
- W4323267210 hasConcept C78458016 @default.
- W4323267210 hasConcept C86803240 @default.
- W4323267210 hasConceptScore W4323267210C106131492 @default.
- W4323267210 hasConceptScore W4323267210C11413529 @default.
- W4323267210 hasConceptScore W4323267210C126255220 @default.
- W4323267210 hasConceptScore W4323267210C132721684 @default.
- W4323267210 hasConceptScore W4323267210C134306372 @default.
- W4323267210 hasConceptScore W4323267210C14036430 @default.
- W4323267210 hasConceptScore W4323267210C140779682 @default.
- W4323267210 hasConceptScore W4323267210C151319957 @default.
- W4323267210 hasConceptScore W4323267210C154945302 @default.
- W4323267210 hasConceptScore W4323267210C28826006 @default.
- W4323267210 hasConceptScore W4323267210C31258907 @default.
- W4323267210 hasConceptScore W4323267210C31972630 @default.
- W4323267210 hasConceptScore W4323267210C33923547 @default.
- W4323267210 hasConceptScore W4323267210C41008148 @default.
- W4323267210 hasConceptScore W4323267210C50644808 @default.
- W4323267210 hasConceptScore W4323267210C77618280 @default.
- W4323267210 hasConceptScore W4323267210C78458016 @default.
- W4323267210 hasConceptScore W4323267210C86803240 @default.
- W4323267210 hasFunder F4320320879 @default.
- W4323267210 hasFunder F4320321114 @default.
- W4323267210 hasLocation W43232672101 @default.
- W4323267210 hasOpenAccess W4323267210 @default.
- W4323267210 hasPrimaryLocation W43232672101 @default.
- W4323267210 hasRelatedWork W1521353230 @default.
- W4323267210 hasRelatedWork W1596397513 @default.
- W4323267210 hasRelatedWork W2051388053 @default.
- W4323267210 hasRelatedWork W2059808679 @default.
- W4323267210 hasRelatedWork W2105538080 @default.
- W4323267210 hasRelatedWork W2373250155 @default.
- W4323267210 hasRelatedWork W2386387936 @default.
- W4323267210 hasRelatedWork W2387115166 @default.
- W4323267210 hasRelatedWork W2531206168 @default.
- W4323267210 hasRelatedWork W2735676280 @default.
- W4323267210 hasVolume "481" @default.
- W4323267210 isParatext "false" @default.
- W4323267210 isRetracted "false" @default.
- W4323267210 workType "article" @default.