Results 21 to 30 of about 209,471 (303)
Enhancing Accuracy of Runge–Kutta-Type Collocation Methods for Solving ODEs
Mathematics, 2021 In this paper, a new class of Runge–Kutta-type collocation methods for the numerical integration of ordinary differential equations (ODEs) is presented. Its derivation is based on the integral form of the differential equation.
Janez Urevc, Miroslav Halilovič
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On some quadrature rules with Gregory end corrections [PDF]
Opuscula Mathematica, 2009 How can one compute the sum of an infinite series \(s := a_1 + a_2 + \ldots\)? If the series converges fast, i.e., if the term \(a_n\) tends to \(0\) fast, then we can use the known bounds on this convergence to estimate the desired sum by a finite sum \(
Bogusław Bożek +2 more
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Direct numerical simulation of turbulence at lower costs [PDF]
, 1995 Direct Numerical Simulation (DNS) is the most accurate, but also the most expensive, way of computing turbulent flow. To cut the costs of DNS we consider a family of second-order, explicit one-leg time-integration methods and look for the method with the
Veldman, A.E.P. +5 more
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Description of changes in genetic control in cells at their proliferation and differentiation
Біологічні студії, 2014 On the basis of previously built kinetic model of changes in genetic controlling systems in cells at their proliferation and differentiation, it was held that these changes take place on gene, chromosome, membrane and ion levels.
I. V. Stadnyk, D. I. Sanagursky
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IEEE Access, 2021 This contribution reports a comparative analysis of two methodologies for the periodic steady-state solution of linear and nonlinear electric networks in time-domain (TD), based on the state-space model (SSM) and companion-circuit analysis (CCA ...
Julio Cesar Godinez-Delgado +1 more
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On Iterated Numerical Integration [PDF]
, 2005 We revisit the iterated numerical integration method and show that it is extremely efficient in solving certain classes of problems. A multidimensional integral can be approximated by a combination of lower-dimensional or one-dimensional adaptive methods iteratively. When an integrand contains sharp ridges which are not parallel with any axis, iterated
Shujun Li +2 more
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Reliability of systems with randomly varying parameters by the path integration method [PDF]
, 2011 The paper considers a first passage time reliability problem for systems subjected to multiplicative and additive white noises. For numerical calculations of the reliability function and the first passage time the path integration method is properly ...
Yurchenko, Daniil +5 more
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Reaction-Diffusion in the NEURON Simulator
Frontiers in Neuroinformatics, 2013 In order to support research on the role of cell biological principles (genomics, proteomics, signaling cascades and reaction dynamics) on the dynamics of neuronal response in health and disease, NEURON has developed a Reaction-Diffusion (rxd) module in ...
Robert A. McDougal +4 more
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Sensors, 2015 In human movement analysis, 3D body segment orientation can be obtained through the numerical integration of gyroscope signals. These signals, however, are affected by errors that, for the case of micro-electro-mechanical systems, are mainly due to ...
Ilaria Pasciuto +5 more
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International Journal of Mathematics and Mathematical Sciences, 1983 A numerical technique, first reported in 1979 in refs.[1] and [2], for the numerical evaluation of two-dimensional Cauchy-type principal-value integrals, is extended in this paper to include several cubature formlas of the Radau and Lobatto types.
P. S. Theocaris
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