Results 41 to 50 of about 86 (81)
Piecewise polynomials with different smoothness degrees on polyhedral complexes
, 2019 For a given d-dimensional polyhedral complex △ and a given degree k, we consider the vector space of piecewise polynomial functions on △ of degree at most k with a different smoothness condition on each pair of adjacent d-faces of △.
Sipahi, Neslihan Ös, Altınok, Selma
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Numerical Differentiation As An Example For Inverse Problems
, 1998 . We present an error analysis for the numerical differentiation of noisy data via smoothing cubic splines. Our treatment is elementary enough to be included in a course on numerical analysis.
Otmar Scherzer, Martin Hanke
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, 2007 In this paper we propose a new a--posteriori error estimator for a weakly singular integral equation concerned with a direct boundary element approach for a Dirichlet problem with a second order elliptic partial differential operator. The method is based
O. Steinbach, H. Schulz
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Dimension and Local Bases of Homogeneous Spline Spaces
, 1995 . Recently, we have introduced spaces of splines defined on triangulations lying on the sphere or on sphere-like surfaces. These spaces arose out of a new kind of Bernstein-B'ezier theory on such surfaces.
Marian Neamtu +2 more
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The hat matrix for smoothing splines
The matrix which transforms the data vector to the vector of fitted values for smoothing splines is termed the hat matrix. This matrix is shown to have many of the same properties, and is seen to play the same role in the variances and covariances of the
Eubank, R. L.
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Spline-based numerical treatments of Bratu-type equations,
, 2012 Communicated by Ayman Badawi MSC2010 CLASSIFICATION: 65D07; 65N25; 65N35 Keywords: Nonlinear elliptic eigenvalue problem; Bratu-type equations; cubic spline collocation method; adaptive spline collocation; order of convergence.
Ali Sayfy +2 more
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Obtaining a banded system of equations in complete spline interpolation problem via B-spline basis
Open Mathematics, 2012 Volkov Yuriy
doaj +1 more source
B–SPLINE–BASED MONOTONE MULTIGRID METHODS — EXTENDED VERSION ∗
, 2008 . For the efficient numerical solution of elliptic variational inequalities on closed convex sets, multigrid methods based on piecewise linear finite elements have been investigated over the past decades.
Angela Kunoth, Markus Holtz
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Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations. [PDF]
Numer Math (Heidelb), 2017 Feischl M +3 more
europepmc +1 more source