The coercitivity of elliptic sesquilinear forms on the Sobolev spaces [Abstract of thesis]
Van Khuong Vu (1988)
Commentationes Mathematicae Universitatis Carolinae
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Van Khuong Vu (1988)
Commentationes Mathematicae Universitatis Carolinae
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Branga, Adrian (1996)
General Mathematics
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Micula, G. (2003)
Rendiconti del Seminario Matematico
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Pílnikova, Jana, Chalmovianský, Pavel (1999)
Journal for Geometry and Graphics
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Jiří Kobza, Dušan Zápalka (1991)
Applications of Mathematics
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For quadratic spine interpolating local integrals (mean-values) on a given mesh the conditions of existence and uniqueness, construction under various boundary conditions and other properties are studied. The extremal property of such's spline allows us to present an elementary construction and an algorithm for computing needed parameters of such quadratic spline smoothing given mean-values. Examples are given illustrating the results.