Results 31 to 40 of about 11,041 (298)
Computing the Matrix Exponential with an Optimized Taylor Polynomial Approximation [PDF]
, 2019 A new way to compute the Taylor polynomial of a matrix exponential is presented which reduces the number of matrix multiplications in comparison with the de-facto standard Paterson-Stockmeyer method for polynomial evaluation.
Philipp Bader +6 more
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Open Physics, 2022 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
doaj +1 more source
International Journal of Analysis and Applications, 2023 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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A Taylor polynomial approach for solving differential-difference equations [PDF]
, 2005 The purpose of this study is to give a Taylor polynomial approximation for the solution of mth-order linear differential-difference equations with variable coefficients under the mixed conditions about any point. For this purpose, Taylor matrix method is
Gülsu, Mustafa +3 more
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Piecewise Polynomial Taylor Expansions—The Generalization of Faà di Bruno’s Formula [PDF]
, 2020 We present an extension of Taylor's Theorem for the piecewise polynomial expansion of non-smooth evaluation procedures involving absolute value operations.
Andreas Griewank +5 more
core +3 more sources
Illumination by Taylor polynomials
International Journal of Mathematics and Mathematical Sciences, 2001 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 ...
openaire +3 more sources
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 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
CoRR, 2023 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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Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement
Advanced Science, EarlyView.The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang +7 more
wiley +1 more source
Approximate Equivalence of the Hybrid Automata with Taylor Theory
Journal of Applied Mathematics, 2014 Hybrid automaton is a formal model for precisely describing a hybrid system in which the computational processes interact with the physical ones.
Anping He +3 more
doaj +1 more source