Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963100911> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W2963100911 endingPage "331" @default.
- W2963100911 startingPage "316" @default.
- W2963100911 abstract "The paper is devoted to the numerical solution of algebraic systems of the type (Aα+qI)u=f, 0<α<1, q>0, u,f∈RN, where A is a symmetric and positive definite matrix. We assume that A is obtained by finite difference approximation of a second order diffusion problem in Ω⊂Rd, d=1,2 so that Aα+qI approximates the related fractional diffusion–reaction operator or could be a result of a time-stepping procedure in solving time-dependent sub-diffusion problems. We also assume that a method of optimal complexity for solving linear systems with matrices A+cI, c≥0 is available. We analyze and study numerically a class of solution methods based on the best uniform rational approximation (BURA) of a certain scalar function in the unit interval. The first such method, originally proposed in Harizanov et al. (2018) for numerical solution of fractional-in-space diffusion problems, was based on the BURA rα(ξ) of ξ1−α in [0,1] through scaling of the matrix A by its largest eigenvalue. Then the BURA of t−α in [1,∞) is given by t−1rα(t) and correspondingly, A−1rα(A) is used as an approximation of A−α. Further, this method was improved in Harizanov et al. (2019) using the same concept but by scaling the matrix A by its smallest eigenvalue. In this paper we consider the BURA rα(ξ) of 1∕(ξ−α+q) for ξ∈(0,1]. Then we define the approximation of (Aα+qI)−1 as rα(A−α). We also propose an alternative method that uses BURA of ξα to produce certain uniform rational approximation (URA) of 1∕(ξ−α+q). Comprehensive numerical experiments are used to demonstrate the computational efficiency and robustness of the new BURA and URA methods." @default.
- W2963100911 created "2019-07-30" @default.
- W2963100911 creator A5015756361 @default.
- W2963100911 creator A5039237349 @default.
- W2963100911 creator A5073185577 @default.
- W2963100911 creator A5077310702 @default.
- W2963100911 date "2020-07-01" @default.
- W2963100911 modified "2023-10-06" @default.
- W2963100911 title "Numerical solution of fractional diffusion–reaction problems based on BURA" @default.
- W2963100911 cites W1740449357 @default.
- W2963100911 cites W2020107568 @default.
- W2963100911 cites W2022615414 @default.
- W2963100911 cites W2027392793 @default.
- W2963100911 cites W2033332487 @default.
- W2963100911 cites W2312385896 @default.
- W2963100911 cites W2797627521 @default.
- W2963100911 cites W2962992027 @default.
- W2963100911 cites W2963046619 @default.
- W2963100911 cites W2963763304 @default.
- W2963100911 cites W3123275897 @default.
- W2963100911 cites W4233464123 @default.
- W2963100911 doi "https://doi.org/10.1016/j.camwa.2019.07.002" @default.
- W2963100911 hasPublicationYear "2020" @default.
- W2963100911 type Work @default.
- W2963100911 sameAs 2963100911 @default.
- W2963100911 citedByCount "16" @default.
- W2963100911 countsByYear W29631009112019 @default.
- W2963100911 countsByYear W29631009112020 @default.
- W2963100911 countsByYear W29631009112021 @default.
- W2963100911 countsByYear W29631009112022 @default.
- W2963100911 countsByYear W29631009112023 @default.
- W2963100911 crossrefType "journal-article" @default.
- W2963100911 hasAuthorship W2963100911A5015756361 @default.
- W2963100911 hasAuthorship W2963100911A5039237349 @default.
- W2963100911 hasAuthorship W2963100911A5073185577 @default.
- W2963100911 hasAuthorship W2963100911A5077310702 @default.
- W2963100911 hasConcept C106487976 @default.
- W2963100911 hasConcept C121231716 @default.
- W2963100911 hasConcept C121332964 @default.
- W2963100911 hasConcept C134306372 @default.
- W2963100911 hasConcept C158693339 @default.
- W2963100911 hasConcept C159985019 @default.
- W2963100911 hasConcept C192562407 @default.
- W2963100911 hasConcept C2524010 @default.
- W2963100911 hasConcept C28826006 @default.
- W2963100911 hasConcept C33923547 @default.
- W2963100911 hasConcept C57691317 @default.
- W2963100911 hasConcept C62520636 @default.
- W2963100911 hasConcept C99844830 @default.
- W2963100911 hasConceptScore W2963100911C106487976 @default.
- W2963100911 hasConceptScore W2963100911C121231716 @default.
- W2963100911 hasConceptScore W2963100911C121332964 @default.
- W2963100911 hasConceptScore W2963100911C134306372 @default.
- W2963100911 hasConceptScore W2963100911C158693339 @default.
- W2963100911 hasConceptScore W2963100911C159985019 @default.
- W2963100911 hasConceptScore W2963100911C192562407 @default.
- W2963100911 hasConceptScore W2963100911C2524010 @default.
- W2963100911 hasConceptScore W2963100911C28826006 @default.
- W2963100911 hasConceptScore W2963100911C33923547 @default.
- W2963100911 hasConceptScore W2963100911C57691317 @default.
- W2963100911 hasConceptScore W2963100911C62520636 @default.
- W2963100911 hasConceptScore W2963100911C99844830 @default.
- W2963100911 hasFunder F4320320300 @default.
- W2963100911 hasFunder F4320321843 @default.
- W2963100911 hasIssue "2" @default.
- W2963100911 hasLocation W29631009111 @default.
- W2963100911 hasOpenAccess W2963100911 @default.
- W2963100911 hasPrimaryLocation W29631009111 @default.
- W2963100911 hasRelatedWork W1982496263 @default.
- W2963100911 hasRelatedWork W2028454084 @default.
- W2963100911 hasRelatedWork W2044927803 @default.
- W2963100911 hasRelatedWork W2053448926 @default.
- W2963100911 hasRelatedWork W2088255893 @default.
- W2963100911 hasRelatedWork W2158121840 @default.
- W2963100911 hasRelatedWork W2912679009 @default.
- W2963100911 hasRelatedWork W2966383146 @default.
- W2963100911 hasRelatedWork W301117870 @default.
- W2963100911 hasRelatedWork W3083820578 @default.
- W2963100911 hasVolume "80" @default.
- W2963100911 isParatext "false" @default.
- W2963100911 isRetracted "false" @default.
- W2963100911 magId "2963100911" @default.
- W2963100911 workType "article" @default.