Results 11 to 20 of about 4,993,210 (294)
Numerical quadrature methods for singular and nearly singular integrals [PDF]
, 2001 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis is concerned with the development, design, and analysis of simple and efficient numerical quadrature methods for integrals on finite intervals ...
Chunrungsikul, Sumlearng
core +7 more sources
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
doaj +1 more source
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
openaire +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Evaluation of Static Potential Integrals on Triangular Domains
IEEE Access, 2020 Static potential integrals for constant and linear sources on triangles are derived in a straightforward way. The new representations, as presented, are robust with respect to machine evaluation in important limiting cases.
Donald R. Wilton +3 more
doaj +1 more source