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Craig’s Interpolation Property in Pretabular Logics
All pretabular extensions of the minimal logic were described and the tabularity problem was solved earlier. As turned out, in total, there are...
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Interpolation
This chapter presents several interpolation theorems in the setting of noncommutative spaces introduced in previous chapters. In particular, several...
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Polynomial Interpolation
Prior to describing the linear multistep method, another major class of numerical solution of ODEs, we will study interpolation, which is one of the...
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Interpolation Pseudo-Ordered Rings
Characteristics of partially pseudo-ordered ( K -ordered) rings are considered. Properties of the set L ( R ) of all convex directed ideals in...
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A Certified Cubic B-Spline Interpolation Method with Tangential Direction Constraints
Curve interpolation with B-spline is widely used in various areas. This problem is classic and recently raised in application scenario with new...
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Interpolation operators for parabolic problems
We introduce interpolation operators with approximation and stability properties suited for parabolic problems in primal and mixed formulations. We...
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Interpolation
The topic of this chapter is an interpolation, which involves passing a curve through a set of data points. To put this in context, extracting...
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Error-constant estimation under the maximum norm for linear Lagrange interpolation
For the linear Lagrange interpolation over a triangular domain, we propose an efficient algorithm to rigorously evaluate the interpolation error...
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Interpolation Pseudo-Ordered Algebras Over Partially Ordered Fields
Characteristics of partially pseudo-ordered ( K -ordered) algebras over partially ordered fields are considered. Properties of the set L ( A ) of all...
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Quasilinear PDEs, Interpolation Spaces and Hölderian map**s
As in the work of Tartar [
59 ], we develop here some new results on nonlinear interpolation of α -Hölderian map**s between normed spaces, by studying... -
A unifying framework for tangential interpolation of structured bilinear control systems
In this paper, we consider the structure-preserving model order reduction problem for multi-input/multi-output bilinear control systems by tangential...
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Shape preserving fractal multiquadric quasi-interpolation
In this article, we construct a novel self-referential fractal multiquadric function which is symmetric about the origin. The scaling factors are...
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Arazy-Cwikel property for quasi-banach couples
The main result of this paper establishes that the known Arazy-Cwikel property holds for classes of uniformly K -monotone spaces in the quasi-Banach...
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Short Proofs for Some Classical Interpolation Theorems and Multiple Interpolation in the Disk Algebra
We present short proofs of the classical interpolation theorems for derivatives by Mittag–Leffler and Germay, respectively Katsnelson, Airapetjan,...
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Explicit Interpolation-Based CFD Mesh Morphing
This paper describes mesh morphing methodology based on explicit interpolation. The method handles large displacements while maintaining high mesh...
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Combining Interpolation Schemes and Lagrange Interpolation on the Unit Sphere in ℝN+1
We study the Lagrange interpolation in ℝ N and on the unit sphere in ℝ N +1 . It is shown that sequences of unisolvent sets can be combined to get other...
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The Discrete Approximation Problem for a Special Case of Hermite-Type Polynomial Interpolation
Every univariate Hermite interpolation problem can be written as a pointwise limit of Lagrange interpolants. However, this property is not preserved...
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