Results 11 to 20 of about 7,438 (162)
Matrix differential equations are at the heart of many science and engineering problems. In this paper, a procedure based on higher-order matrix splines is proposed to provide the approximated numerical solution of special nonlinear third-order matrix ...
Emilio Defez +4 more
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In this paper we study the problem of the diffusion of one substance through the pores of a porous multi layered material which may absorb and immobilize some of the diffusing substances with the evolution or absorption of heat. As an example we consider
Harijs Kalis +3 more
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Reconstruction Algorithm of Signals from Special Samples in Spline Spaces [PDF]
In this paper, we introduce integral sampling and study the reconstruction of signals based on non-uniform average samples in spline subspace. By using a new method, we obtain a new reconstruction formula.
Jun Xian, Degao Li
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Construction of a family of non-stationary biorthogonal wavelets
The family of exponential pseudo-splines is the non-stationary counterpart of the pseudo-splines and includes the exponential B-spline functions as special members.
Baoxing Zhang +3 more
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Spline Smoothing: A Special Case of Diffusion Smoothing [PDF]
Diffusion Smoothing (DS) implements the smoothing by directly solving a boundary value problem of the diffusion equation — = b V2u with explicit or implicit numerical schemes, it provides a uniform theoretical base for some other smoothing methods. It has shown that the elegant Gaussian smoothing (GS) is equivalent to the initial value problem of DS ...
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Two-Stage Spline-Approximation with an Unknown Number of Elements in Applied Optimization Problem of a Special Kind [PDF]
Being a continuation of the paper published in Mathematics and Statistics, vol. 7, No. 5, 2019, this article describes the algorithm for the first stage of spline- approximation with an unknown number of elements of the spline and constraints on its parameters. Such problems arise in the computer-aided design of road routes and other linear structures.
V. I. Struchenkov, D. A. Karpov
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Conventional splines offer powerful means for modeling surfaces and volumes in three-dimensional Euclidean space. A one-dimensional quaternion spline has been applied for animation purpose, where the splines are defined to model a one-dimensional ...
Wei Zeng +2 more
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Mathematical approximator based on basic spline approximation [PDF]
The article considers the problem of constructing a mathematical piecewise linear approximator based on approximation by basis splines. An algorithm has been developed designed to implement a class of special functions and create parallel ...
Turdimatov Mamirjon +5 more
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A spline is a piecewise defined special function that is usually comprised of polynomials of a certain degree. These polynomials are supposed to generate a smooth curve by connecting at given data points.
Muhammad Kashif Iqbal +3 more
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Application of isogeometric analysis to modeling of elastic deformation in dual phase materials by using statistically similar representative volume element on heterogeneous hardware devices [PDF]
Statistically Similar Representative Volume Element (SSRVE) is a methodology applied for reduction of complexity of material microstructure representation for dual phase materials like DP steels or composites.
Daniel Bachniak, Łukasz Rauch
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