Matches in SemOpenAlex for { <https://semopenalex.org/work/W2081008097> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2081008097 endingPage "1463" @default.
- W2081008097 startingPage "1459" @default.
- W2081008097 abstract "The method of maximum entropy–minimum norm is utilized to produce a general method of solving differential equations. The technique is a generalization and extension of previous work performed by Baker-Jarvis [J. Math. Phys. 30, 302 (1989)]. It is found that introducing an additional constraint on the norm of the solution vector produces a probability distribution that is integrable over the entire real axis. A number of simplifications occur. In this extended method the Lagrange multipliers and solution vector can be solved for explicitly, thus eliminating the necessity of solving systems of nonlinear equations for the Lagrange multipliers, as was required in the previous approach. It is shown that the solution obtained is equivalent to a minimum norm approximation. The maximum entropy solution of differential equations with Fourier moments is shown to be identical to a Fourier series solution. Additionally, the new method is applied to solving the random walk and Fokker–Planck equations." @default.
- W2081008097 created "2016-06-24" @default.
- W2081008097 creator A5017329223 @default.
- W2081008097 creator A5032634344 @default.
- W2081008097 creator A5056813760 @default.
- W2081008097 date "1989-07-01" @default.
- W2081008097 modified "2023-10-15" @default.
- W2081008097 title "Solving differential equations by a maximum entropy–minimum norm method with applications to Fokker–Planck equations" @default.
- W2081008097 cites W1977633159 @default.
- W2081008097 cites W1995875735 @default.
- W2081008097 cites W2007994197 @default.
- W2081008097 cites W2032558547 @default.
- W2081008097 cites W2048278024 @default.
- W2081008097 cites W4252028749 @default.
- W2081008097 doi "https://doi.org/10.1063/1.528276" @default.
- W2081008097 hasPublicationYear "1989" @default.
- W2081008097 type Work @default.
- W2081008097 sameAs 2081008097 @default.
- W2081008097 citedByCount "39" @default.
- W2081008097 countsByYear W20810080972014 @default.
- W2081008097 countsByYear W20810080972015 @default.
- W2081008097 countsByYear W20810080972018 @default.
- W2081008097 crossrefType "journal-article" @default.
- W2081008097 hasAuthorship W2081008097A5017329223 @default.
- W2081008097 hasAuthorship W2081008097A5032634344 @default.
- W2081008097 hasAuthorship W2081008097A5056813760 @default.
- W2081008097 hasConcept C102519508 @default.
- W2081008097 hasConcept C105795698 @default.
- W2081008097 hasConcept C121332964 @default.
- W2081008097 hasConcept C126255220 @default.
- W2081008097 hasConcept C134306372 @default.
- W2081008097 hasConcept C158622935 @default.
- W2081008097 hasConcept C17744445 @default.
- W2081008097 hasConcept C191795146 @default.
- W2081008097 hasConcept C199539241 @default.
- W2081008097 hasConcept C207864730 @default.
- W2081008097 hasConcept C28826006 @default.
- W2081008097 hasConcept C33923547 @default.
- W2081008097 hasConcept C62520636 @default.
- W2081008097 hasConcept C73684929 @default.
- W2081008097 hasConcept C78045399 @default.
- W2081008097 hasConcept C93779851 @default.
- W2081008097 hasConcept C9679016 @default.
- W2081008097 hasConceptScore W2081008097C102519508 @default.
- W2081008097 hasConceptScore W2081008097C105795698 @default.
- W2081008097 hasConceptScore W2081008097C121332964 @default.
- W2081008097 hasConceptScore W2081008097C126255220 @default.
- W2081008097 hasConceptScore W2081008097C134306372 @default.
- W2081008097 hasConceptScore W2081008097C158622935 @default.
- W2081008097 hasConceptScore W2081008097C17744445 @default.
- W2081008097 hasConceptScore W2081008097C191795146 @default.
- W2081008097 hasConceptScore W2081008097C199539241 @default.
- W2081008097 hasConceptScore W2081008097C207864730 @default.
- W2081008097 hasConceptScore W2081008097C28826006 @default.
- W2081008097 hasConceptScore W2081008097C33923547 @default.
- W2081008097 hasConceptScore W2081008097C62520636 @default.
- W2081008097 hasConceptScore W2081008097C73684929 @default.
- W2081008097 hasConceptScore W2081008097C78045399 @default.
- W2081008097 hasConceptScore W2081008097C93779851 @default.
- W2081008097 hasConceptScore W2081008097C9679016 @default.
- W2081008097 hasIssue "7" @default.
- W2081008097 hasLocation W20810080971 @default.
- W2081008097 hasOpenAccess W2081008097 @default.
- W2081008097 hasPrimaryLocation W20810080971 @default.
- W2081008097 hasRelatedWork W1600454385 @default.
- W2081008097 hasRelatedWork W1979241556 @default.
- W2081008097 hasRelatedWork W1997033546 @default.
- W2081008097 hasRelatedWork W2045861968 @default.
- W2081008097 hasRelatedWork W2074745806 @default.
- W2081008097 hasRelatedWork W2105377028 @default.
- W2081008097 hasRelatedWork W2157978609 @default.
- W2081008097 hasRelatedWork W2370558260 @default.
- W2081008097 hasRelatedWork W3120556963 @default.
- W2081008097 hasRelatedWork W4379919368 @default.
- W2081008097 hasVolume "30" @default.
- W2081008097 isParatext "false" @default.
- W2081008097 isRetracted "false" @default.
- W2081008097 magId "2081008097" @default.
- W2081008097 workType "article" @default.