FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3136308753> ?p ?o ?g. }

• W3136308753 abstract "Equations governing physico-chemical processes are usually known at microscopic spatial scales, yet one suspects that there exist equations, e.g. in the form of Partial Differential Equations (PDEs), that can explain the system evolution at much coarser, meso- or macroscopic length scales. Discovering those coarse-grained effective PDEs can lead to considerable savings in computation-intensive tasks like prediction or control. We propose a framework combining artificial neural networks with multiscale computation, in the form of equation-free numerics, for efficient discovery of such macro-scale PDEs directly from microscopic simulations. Gathering sufficient microscopic data for training neural networks can be computationally prohibitive; equation-free numerics enable a more parsimonious collection of training data by only operating in a sparse subset of the space-time domain. We also propose using a data-driven approach, based on manifold learning and unnormalized optimal transport of distributions, to identify macro-scale dependent variable(s) suitable for the data-driven discovery of said PDEs. This approach can corroborate physically motivated candidate variables, or introduce new data-driven variables, in terms of which the coarse-grained effective PDE can be formulated. We illustrate our approach by extracting coarse-grained evolution equations from particle-based simulations with a priori unknown macro-scale variable(s), while significantly reducing the requisite data collection computational effort." @default.
• W3136308753 created "2021-03-29" @default.
• W3136308753 creator A5036566464 @default.
• W3136308753 creator A5069894622 @default.
• W3136308753 date "2021-03-01" @default.
• W3136308753 modified "2023-09-27" @default.
• W3136308753 title "Particles to partial differential equations parsimoniously" @default.
• W3136308753 cites W1836370665 @default.
• W3136308753 cites W1968326286 @default.
• W3136308753 cites W1972005403 @default.
• W3136308753 cites W1973243996 @default.
• W3136308753 cites W1976998484 @default.
• W3136308753 cites W1983195644 @default.
• W3136308753 cites W1999110794 @default.
• W3136308753 cites W1999939431 @default.
• W3136308753 cites W2044359900 @default.
• W3136308753 cites W2070460788 @default.
• W3136308753 cites W2077565076 @default.
• W3136308753 cites W2080308289 @default.
• W3136308753 cites W2090857812 @default.
• W3136308753 cites W2097469960 @default.
• W3136308753 cites W2117684310 @default.
• W3136308753 cites W2144587879 @default.
• W3136308753 cites W2152275410 @default.
• W3136308753 cites W2467268143 @default.
• W3136308753 cites W2525748878 @default.
• W3136308753 cites W2724892359 @default.
• W3136308753 cites W2745110207 @default.
• W3136308753 cites W2782714865 @default.
• W3136308753 cites W2891039272 @default.
• W3136308753 cites W2899283552 @default.
• W3136308753 cites W2901203181 @default.
• W3136308753 cites W2951402098 @default.
• W3136308753 cites W2962824627 @default.
• W3136308753 cites W2963647337 @default.
• W3136308753 cites W2974067482 @default.
• W3136308753 cites W2999271947 @default.
• W3136308753 cites W3100969891 @default.
• W3136308753 cites W3102562631 @default.
• W3136308753 cites W3105469151 @default.
• W3136308753 cites W3105919389 @default.
• W3136308753 cites W4206471589 @default.
• W3136308753 cites W4213367101 @default.
• W3136308753 doi "https://doi.org/10.1063/5.0037837" @default.
• W3136308753 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/33810723" @default.
• W3136308753 hasPublicationYear "2021" @default.
• W3136308753 type Work @default.
• W3136308753 sameAs 3136308753 @default.
• W3136308753 citedByCount "3" @default.
• W3136308753 countsByYear W31363087532021 @default.
• W3136308753 countsByYear W31363087532022 @default.
• W3136308753 countsByYear W31363087532023 @default.
• W3136308753 crossrefType "journal-article" @default.
• W3136308753 hasAuthorship W3136308753A5036566464 @default.
• W3136308753 hasAuthorship W3136308753A5069894622 @default.
• W3136308753 hasBestOaLocation W31363087531 @default.
• W3136308753 hasConcept C111472728 @default.
• W3136308753 hasConcept C11413529 @default.
• W3136308753 hasConcept C121332964 @default.
• W3136308753 hasConcept C134306372 @default.
• W3136308753 hasConcept C138885662 @default.
• W3136308753 hasConcept C154945302 @default.
• W3136308753 hasConcept C182365436 @default.
• W3136308753 hasConcept C2778755073 @default.
• W3136308753 hasConcept C28826006 @default.
• W3136308753 hasConcept C33923547 @default.
• W3136308753 hasConcept C36503486 @default.
• W3136308753 hasConcept C41008148 @default.
• W3136308753 hasConcept C45374587 @default.
• W3136308753 hasConcept C50644808 @default.
• W3136308753 hasConcept C62520636 @default.
• W3136308753 hasConcept C75553542 @default.
• W3136308753 hasConcept C93779851 @default.
• W3136308753 hasConceptScore W3136308753C111472728 @default.
• W3136308753 hasConceptScore W3136308753C11413529 @default.
• W3136308753 hasConceptScore W3136308753C121332964 @default.
• W3136308753 hasConceptScore W3136308753C134306372 @default.
• W3136308753 hasConceptScore W3136308753C138885662 @default.
• W3136308753 hasConceptScore W3136308753C154945302 @default.
• W3136308753 hasConceptScore W3136308753C182365436 @default.
• W3136308753 hasConceptScore W3136308753C2778755073 @default.
• W3136308753 hasConceptScore W3136308753C28826006 @default.
• W3136308753 hasConceptScore W3136308753C33923547 @default.
• W3136308753 hasConceptScore W3136308753C36503486 @default.
• W3136308753 hasConceptScore W3136308753C41008148 @default.
• W3136308753 hasConceptScore W3136308753C45374587 @default.
• W3136308753 hasConceptScore W3136308753C50644808 @default.
• W3136308753 hasConceptScore W3136308753C62520636 @default.
• W3136308753 hasConceptScore W3136308753C75553542 @default.
• W3136308753 hasConceptScore W3136308753C93779851 @default.
• W3136308753 hasFunder F4320332180 @default.
• W3136308753 hasFunder F4320338281 @default.
• W3136308753 hasIssue "3" @default.
• W3136308753 hasLocation W31363087531 @default.
• W3136308753 hasLocation W31363087532 @default.
• W3136308753 hasLocation W31363087533 @default.
• W3136308753 hasOpenAccess W3136308753 @default.
• W3136308753 hasPrimaryLocation W31363087531 @default.
• W3136308753 hasRelatedWork W1559772758 @default.
• W3136308753 hasRelatedWork W1572523360 @default.

• next