Error Estimates on Arbitrary Grids for a 2nd-order Mimetic Discretization of Boundary-value Problems for Linear Odes
Abstract: We obtain sharp pointwise 2nd-order estimates for both solution and derivative errors on arbitrary grids for a mimetic finite-difference approximation to solutions of one-dimensional linear boundary-value problems with separated boundary conditions. Although the scheme considered is formally inconsistent with the differential equation, it turns out to possess nice convergence properties which make it a good alternative to more standard, consistent discretizations of similar arithmetic complexity, particularly with respect to derivative errors.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Error Estimates on Arbitrary Grids for a 2nd-order Mimetic Discretization of Boundary-value Problems for Linear Odes ; volume:9 ; number:2 ; year:2009 ; pages:192-202
Computational methods in applied mathematics ; 9, Heft 2 (2009), 192-202
- Creator
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Zingano, J.P.
Steinberg, S.L.
- DOI
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10.2478/cmam-2009-0011
- URN
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urn:nbn:de:101:1-2410261636167.041634270094
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:21 AM CEST
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Associated
- Zingano, J.P.
- Steinberg, S.L.
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