Results 31 to 40 of about 83 (79)
Generalized Taylor Series and Peano Kernel Theorem
<p>As in the polynomial case, non-polynomial divided differences can be viewed as a discrete analog of derivatives. This link between non-polynomial divided differences and derivatives is defined by a generalization of the derivative operator.
Zuernaci-Yetis, Fatma, Disibuyuk, Cetin
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The Uniform Convergence of Thin Plate Spline Interpolation in Two Dimensions
, 1994 that is not a subset of a single straight line, then we prove that a sequence of thin plate spline interpolants converges to f uniformly on D. Specifically, we require h!0, where h is now the least upper bound on the numbers fd(x; V) : x 2 Dg and where
M. J. D. Powell
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Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations
, 1999 : In this paper we establish linear independence and stability of certain piecewise linear prewavelets over arbitrary bounded triangulations. These prewavelets are natural generalizations of the locally supported element constructed by Kotyczka and ...
Ewald G. Quak, Michael S. Floater
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Approximation of Contact Geometry in the Dynamical Simulation of Wheel-Rail Systems
, 1996 Models for the geometrical contact of wheel and rail are a basic component of multibody system (MBS) models for wheel-rail systems. Approximations are used to get sufficiently differentiable contact conditions that can be evaluated efficiently.
M. Arnold +5 more
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Mathematical Foundations of Adaptive Isogeometric Analysis. [PDF]
Arch Comput Methods Eng, 2022 Buffa A +4 more
europepmc +1 more source
Martingale inequalities for spline sequences. [PDF]
Positivity (Dordr), 2020 Passenbrunner M.
europepmc +1 more source
The Apolar Bilinear Form in Geometric Modeling
, 1998 Some recent methods of Computer Aided Geometric Design are related to the apolar bilinear form, an inner product on the space of homogeneous multivariate polynomials of a fixed degree, already known in 19th century invariant theory.
Gert Vegter
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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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An Adaptive Two-Level Method For The Coupling Of Nonlinear FEM-BEM Equations
, 1999 . In this paper an a posteriori error estimate for nonlinear coupled FEM-BEM equations is derived by using hierarchical basis techniques. Based on the properties of two-level additive Schwarz operators for (linearized) differential equations and weakly ...
Patrick Mund +3 more
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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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