Matches in SemOpenAlex for { <https://semopenalex.org/work/W2023861842> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W2023861842 endingPage "34" @default.
- W2023861842 startingPage "17" @default.
- W2023861842 abstract "The problem analyzed in this paper is a model for the Narrow Angle parabolic approximation of Helmholtz equation in environments in Rn, n=2,3, of variable topography used in underwater acoustics. By applying a horizontal bottom transformation combined with an exponential one, we present this Schrödinger-type Dirichlet initial and boundary-value problem in a weak formulation and prove the uniqueness of weak solution. Further, we construct Galerkin semidiscrete and Crank–Nicolson fully discrete schemes. We prove stability of numerical solution, analyze the error and prove estimates of optimal order in the L2-norm. For the 2-D case, we numerically verify the optimal order of accuracy and present numerical results for some standard Benchmark acoustical problems." @default.
- W2023861842 created "2016-06-24" @default.
- W2023861842 creator A5015893485 @default.
- W2023861842 date "2013-05-01" @default.
- W2023861842 modified "2023-10-14" @default.
- W2023861842 title "Galerkin methods for the ‘Parabolic Equation’ Dirichlet problem in a variable 2-D and 3-D topography" @default.
- W2023861842 cites W1633205748 @default.
- W2023861842 cites W1965458781 @default.
- W2023861842 cites W1966742494 @default.
- W2023861842 cites W1970912568 @default.
- W2023861842 cites W2007657616 @default.
- W2023861842 cites W2015961792 @default.
- W2023861842 cites W2019341802 @default.
- W2023861842 cites W2025928533 @default.
- W2023861842 cites W2028186988 @default.
- W2023861842 cites W2049167397 @default.
- W2023861842 cites W2051602955 @default.
- W2023861842 cites W2053612844 @default.
- W2023861842 cites W2071070686 @default.
- W2023861842 cites W2076986342 @default.
- W2023861842 cites W2087395030 @default.
- W2023861842 cites W2088121649 @default.
- W2023861842 cites W2094934796 @default.
- W2023861842 cites W2128117922 @default.
- W2023861842 cites W2134387111 @default.
- W2023861842 cites W2506667719 @default.
- W2023861842 cites W2568772621 @default.
- W2023861842 cites W2733638563 @default.
- W2023861842 cites W3020857677 @default.
- W2023861842 cites W3021722416 @default.
- W2023861842 cites W85484324 @default.
- W2023861842 doi "https://doi.org/10.1016/j.apnum.2011.04.002" @default.
- W2023861842 hasPublicationYear "2013" @default.
- W2023861842 type Work @default.
- W2023861842 sameAs 2023861842 @default.
- W2023861842 citedByCount "2" @default.
- W2023861842 countsByYear W20238618422014 @default.
- W2023861842 countsByYear W20238618422016 @default.
- W2023861842 crossrefType "journal-article" @default.
- W2023861842 hasAuthorship W2023861842A5015893485 @default.
- W2023861842 hasConcept C110167270 @default.
- W2023861842 hasConcept C121332964 @default.
- W2023861842 hasConcept C134306372 @default.
- W2023861842 hasConcept C135628077 @default.
- W2023861842 hasConcept C17744445 @default.
- W2023861842 hasConcept C180931078 @default.
- W2023861842 hasConcept C182310444 @default.
- W2023861842 hasConcept C18591234 @default.
- W2023861842 hasConcept C186867907 @default.
- W2023861842 hasConcept C186899397 @default.
- W2023861842 hasConcept C191795146 @default.
- W2023861842 hasConcept C199539241 @default.
- W2023861842 hasConcept C2777021972 @default.
- W2023861842 hasConcept C2779560616 @default.
- W2023861842 hasConcept C28826006 @default.
- W2023861842 hasConcept C33923547 @default.
- W2023861842 hasConcept C48753275 @default.
- W2023861842 hasConcept C92244383 @default.
- W2023861842 hasConcept C93779851 @default.
- W2023861842 hasConcept C97355855 @default.
- W2023861842 hasConceptScore W2023861842C110167270 @default.
- W2023861842 hasConceptScore W2023861842C121332964 @default.
- W2023861842 hasConceptScore W2023861842C134306372 @default.
- W2023861842 hasConceptScore W2023861842C135628077 @default.
- W2023861842 hasConceptScore W2023861842C17744445 @default.
- W2023861842 hasConceptScore W2023861842C180931078 @default.
- W2023861842 hasConceptScore W2023861842C182310444 @default.
- W2023861842 hasConceptScore W2023861842C18591234 @default.
- W2023861842 hasConceptScore W2023861842C186867907 @default.
- W2023861842 hasConceptScore W2023861842C186899397 @default.
- W2023861842 hasConceptScore W2023861842C191795146 @default.
- W2023861842 hasConceptScore W2023861842C199539241 @default.
- W2023861842 hasConceptScore W2023861842C2777021972 @default.
- W2023861842 hasConceptScore W2023861842C2779560616 @default.
- W2023861842 hasConceptScore W2023861842C28826006 @default.
- W2023861842 hasConceptScore W2023861842C33923547 @default.
- W2023861842 hasConceptScore W2023861842C48753275 @default.
- W2023861842 hasConceptScore W2023861842C92244383 @default.
- W2023861842 hasConceptScore W2023861842C93779851 @default.
- W2023861842 hasConceptScore W2023861842C97355855 @default.
- W2023861842 hasLocation W20238618421 @default.
- W2023861842 hasOpenAccess W2023861842 @default.
- W2023861842 hasPrimaryLocation W20238618421 @default.
- W2023861842 hasRelatedWork W1979505392 @default.
- W2023861842 hasRelatedWork W2011098145 @default.
- W2023861842 hasRelatedWork W2019543145 @default.
- W2023861842 hasRelatedWork W2023861842 @default.
- W2023861842 hasRelatedWork W2054094817 @default.
- W2023861842 hasRelatedWork W2089322816 @default.
- W2023861842 hasRelatedWork W2359984814 @default.
- W2023861842 hasRelatedWork W2936093920 @default.
- W2023861842 hasRelatedWork W4245698281 @default.
- W2023861842 hasRelatedWork W4320025995 @default.
- W2023861842 hasVolume "67" @default.
- W2023861842 isParatext "false" @default.
- W2023861842 isRetracted "false" @default.
- W2023861842 magId "2023861842" @default.
- W2023861842 workType "article" @default.