Results 21 to 30 of about 3,661 (155)
Approximation of thepth Roots of a Matrix by Using Trapezoid Rule [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 The computation of the roots of positive definite matrices arises in nuclear magnetic resonance, control theory, lattice quantum chromo-dynamics (QCD), and several other areas of applications. The Cauchy integral theorem which arises in complex analysis can be used for computingf(A), in particular the roots ofA, whereAis a square matrix.
Amir Sadeghi, Ahmad Izani Mohamed Ismail
openaire +4 more sources
Linear Approximation of Continuous Systems with Trapezoid Step Functions [PDF]
, 2012 We introduce a novel abstract domain for the safe approximation of continuous functions in the context of abstract interpretation-based static analysis. The key-idea is to represent \(\mathcal{C}_+^2\) functions by a finite sequence of trapezoids. In this way, we get a strictly more precise approximation of the actual values with respect to existing ...
COSTANTINI, GIULIA +2 more
openaire +1 more source
Quadrature formulas and taylor series of secant and tangent [PDF]
Икономика и компютърни науки, 2017 Second-order quadrature formulas and their fourth-order expansions are derived from the Taylor series of the secant and tangent functions. The errors of the approximations are compared to the error of the midpoint approximation.
Yuri Dimitrov +2 more
doaj
A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where .
J. Biazar +2 more
doaj
New Accurate Approximation for Average Error Probability
IEEE Access, 2021 This paper proposes new accurate approximations for average error probability (AEP) of a communication system employing either M-phase-shift keying (PSK) or differential quaternary PSK with Gray coding (GC-DQPSK) modulation schemes over generalized ...
Yassine Mouchtak, Faissal El Bouanani
doaj +1 more source
Actuators, 2022 A navigation algorithm providing motion planning for two-wheeled mobile robots is proposed in this paper. The motion planning integrates path planning, velocity planning and controller design. Bidirectional rapidly-exploring random trees algorithms (RRT)
Bing-Gang Jhong, Mei-Yung Chen
doaj +1 more source
Trapezoidal operator preserving the expected interval and the support of fuzzy numbers
Journal of Numerical Analysis and Approximation Theory, 2011 The problem to find the trapezoidal fuzzy number which preserves the expected interval and the support of a given fuzzy number is discussed. Properties of this new trapezoidal approximation operator are studied.
Adriana Brândaş
doaj +2 more sources
Cybernetics and Information Technologies, 2015 This paper investigates the Triangular, Trapezoidal and Gaussian approximation methods for the purpose of induction of Fuzzy Decision Trees (FDT). The generation of FDT is done using a Fuzzy ID3 induction algorithm.
Narayanan Swathi J. +3 more
doaj +1 more source
A new multiscale algorithm for solving the heat conduction equation
Alexandria Engineering Journal, 2023 In this paper, a multiscale algorithm has been initially proposed for a numerical solution to the heat conduction equation. Firstly, the differential form of the heat conduction equation is transformed into an integral form, and then the time variable is
Yingchao Zhang, Yuntao Jia, Yingzhen Lin
doaj +1 more source
A Variational Formulation for Fins with Nonzero Contact Thermal Resistance at the Base
Axioms, 2023 This paper considers the steady-state heat transfer process in a fin with a Robin boundary condition at the base (instead of the usual Dirichlet boundary condition at the base). Robin boundary condition models the effect of the thermal resistance between
Rogério Martins Saldanha da Gama +3 more
doaj +1 more source