Results 41 to 50 of about 833,509 (313)
AIMS Mathematics, 2022 The theory of convex function has a lot of applications in the field of applied mathematics and engineering. The Caputo-Fabrizio non-singular operator is the most significant operator of fractional theory which permits to generalize the classical theory ...
Muhammad Imran Asjad +3 more
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Numerical integration using sums of exponential functions [PDF]
Mathematics of Computation, 1961 dy ( 1 ) q dx Suppose that the numerical values of q be known for the n + 1 discrete values of x given by x = xo + rh, where r runs through the integers from zero to n and h is some fixed increment. Let f(x) be some function of x chosen to coincide with q at these particular x-values.
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Dual Taylor Series, Spline Based Function and Integral Approximation and Applications
Mathematical and Computational Applications, 2019 In this paper, function approximation is utilized to establish functional series approximations to integrals. The starting point is the definition of a dual Taylor series, which is a natural extension of a Taylor series, and spline based series ...
Roy M. Howard
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, 2016 We analyze the quantum-mechanical behavior of a system described by a one-dimensional asymmetric potential constituted by a step plus (i) a linear barrier or (ii) an exponential barrier.
Abramowitz M. +10 more
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Exponential integrators in time-dependent density-functional calculations
Physical Review E, 2017 The integrating factor and exponential time differencing methods are implemented and tested for solving the time-dependent Kohn--Sham equations. Popular time propagation methods used in physics, as well as other robust numerical approaches, are compared to these exponential integrator methods in order to judge the relative merit of the computational ...
Kidd, Daniel +2 more
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Correlated exponential functions in high precision calculations for diatomic molecules
, 2012 Various properties of the general two-center two-electron integral over the explicitly correlated exponential function are analyzed for the potential use in high precision calculations for diatomic molecules.
C. Flammer +4 more
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Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
Alexandria Engineering Journal, 2014 In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind.
N. Khan +3 more
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Advances in Difference Equations, 2021 This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analogues of Bessel functions and power series. Al-Salam fractional q-integral operator has been applied to various types of q-Bessel functions and some power ...
Shrideh Al-Omari +2 more
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Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
FEBS Letters, EarlyView.Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani +4 more
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Trends in Computational and Applied Mathematics, 2023 The calculation of the Coulomb Potential corresponding to the product of two Exponential Type Functions, inherently has numerical challenges that must be resolved.
C. J. Alturria Lanzardo +4 more
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