Survey on the Numerical Methods for ODE's Using the Sequence of Successive Approximations [PDF]
Here we present the error estimations in the numerical methods for Cauchy problems corresponding to ODE’s, which use the sequence of successive approximations and quadrature rules such as trapezoidal rule and perturbed trapezoidal ...
Bica, Alexandru Mihai
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Differential Quadrature Solution of Hyperbolic Telegraph Equation [PDF]
Differential quadrature method (DQM) is proposed for the numerical solution of one‐ and two‐space dimensional hyperbolic telegraph equation subject to appropriate initial and boundary conditions. Both polynomial‐based differential quadrature (PDQ) and Fourier‐based differential quadrature (FDQ) are used in space directions while PDQ is made use of in ...
Bengisen Pekmen, Münevver Tezer-Sezgin
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$SO(3)$ quadratures in angular-momentum projection [PDF]
While the angular-momentum projection is a common tool for theoretical nuclear structure studies, a large amount of computations are required particularly for triaxially deformed states.
Tsunoda, Yusuke, Shimizu, Noritaka
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Remarks on mixed-integer formulations for hyper-reduction schemes in nonlinear dynamics
The hyper-reduction problem for reduced-order internal forces evaluation in transient, nonlinear, explicit dynamics is reformulated, employing Mixed-Integer Programming (MIP), taking into account consistency constraints.
Pierre Phalippou +4 more
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Differential Quadrature Solution for One-Dimensional Aquifer Flow [PDF]
Differential Quadrature Method (DQM) has been applied to the solution of aquifer flow problems. Three examples from of each of the three one-dimensional aquifer flow equation problems, a confined aquifer flow with time dependent boundary conditions, a composite confined aquifer and an unconfined aquifer with seepage, were examined.
Arısoy, Yalçın, Kaya, Birol
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Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
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A cases of solvability of the integral equation in quadratures
We consider Volterra equation with two-variable, commonly encountered in the theory of elasticity. The purpose is to find new variants of sufficient conditions for it’s solvability in explicit calculation. The reduction principle of the original equation,
Inna M Shakirova
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The third boundary-value problem for the telegraph equation in semi-bounded domain
The third boundary-value problem for the telegraph equation in semi-bounded domain is considered. The solution of this problem in quadratures is obtained.
V. A. Ostapenko
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Improved near optimal angular quadratures for polarised radiative transfer in 3D MHD models
Accurate angular quadratures are crucial for the numerical solution of three-dimensional (3D) radiative transfer problems, especially when the spectral line polarisation produced by the scattering of anisotropic radiation is included.
Javier Trujillo Bueno +2 more
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Iterative differential quadrature solutions for Bratu problem
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ola Ragb, Laila F. Seddek, M. S. Matbuly
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