Results 21 to 30 of about 1,664,685 (304)
Hermite Subdivision Schemes and Taylor Polynomials [PDF]
The authors propose a general study of the convergence of a Hermite subdivision scheme \(\mathcal H\) of degree \(d>0\) in dimension \(1\). Under the spectral condition, authors transform the Hermite subdivision scheme \(\mathcal H\) into the Taylor subdivision scheme \(\mathcal S\).
Dubuc, Serge, Merrien, Jean-Louis
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We present the second message of the cycle from two articles where the rearrangement of the order of approximation of the matrix method of numerical integration depending on the degree in the Taylor’s polynomial expansion of solutions of boundary value ...
Vladimir N Maklakov
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In this paper, a polynomial decay rate of Kirchhoff’s nonlinear viscoelastic viscoelastic equation solution related with Balakrishnan-Taylor dissipation solution and logarithmic source terms is obtained, where we obtain the result of energy decay of ...
Salah Boulaaras
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New concept of antiaircraft gun fire control
A new concept of antiaircraft gun fire control, using sensors that provide automatic target position measurement and servosystems that provide automatic positioning of weapon, is proposed.
Nenad Dodić , Momčilo Milinović
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APPLICATION OF THE TAYLOR POLYNOM IN STOCK EXCHANGE MARKET ANALYSIS [PDF]
Economic and financial mathematics uses elements of mathematical analysis (N-dimensional space, rows, series, derivation, integration), probability calculus and linear algebra (vector, linear system of equations, programming) in all areas of economics.
CSŐSZ CSONGOR, ERDŐS ALPÁR
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Since obtaining an analytic solution to some mathematical and physical problems is often very difficult, academics in recent years have focused their efforts on treating these problems using numerical methods.
Ghamkhar Madiha +8 more
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In this paper, a second order singularly perturbed differential difference equation with both the negative and positive shifts is considered. A fitted non-polynomial spline approach is applied to solve the problem.
Kumar Ragula +2 more
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Illumination by Taylor polynomials
Let f(x) be a differentiable function on the real line ℝ, and let P be a point not on the graph of f(x). Define the illumination index of P to be the number of distinct tangents to the graph of f which pass through P. We prove that if f″ is continuous and nonnegative on ℝ, f″ ≥ m > 0 outside a closed interval of ℝ, and f″ has finitely many zeros on ...
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The paper considers the previously proposed method of numerical integration using the matrix calculus in the study of boundary value problems for nonhomogeneous linear ordinary differential equations of the second order with variable coefficients ...
Vladimir N. Maklakov
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Sharp Taylor Polynomial Enclosures in One Dimension
It is often useful to have polynomial upper or lower bounds on a one-dimensional function that are valid over a finite interval, called a trust region. A classical way to produce polynomial bounds of degree $k$ involves bounding the range of the $k$th derivative over the trust region, but this produces suboptimal bounds.
Matthew Streeter, Joshua V. Dillon
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