Results 41 to 50 of about 21,383 (247)
International Journal for Numerical Methods in Fluids, EarlyView.We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo +3 more
wiley +1 more source
On optimal quadrature formulae
Journal of Inequalities and Applications, 2000 A procedure to construct quadrature formulae which are exact for solutions of linear differential equations and are optimal in the sense of Sard is discussed. We give necessary and sufficient conditions under which such formulae do exist.
Lanzara Flavia
doaj
Analytic-numerical solution of random parabolic models: a mean square fourier transform approach
Mathematical Modelling and Analysis, 2018 This paper deals with the construction of mean square analytic-numerical solution of parabolic partial differential problems where both initial condition and coefficients are stochastic processes. By using a random Fourier transform, an infinite integral
María-Consuelo Casabán +2 more
doaj +1 more source
Journal of Function Spaces, 2022 The main motivation of this study is to introduce a novel auxiliary result of Simpson’s formula by employing the Mercer scheme for twice differentiable functions involving the Atangana-Baleanu (AB) fractional integral operator concerned with the Mittag ...
Saad Ihsan Butt +4 more
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International Journal for Numerical Methods in Fluids, EarlyView.The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault +6 more
wiley +1 more source
Numerical Solution of Stieltjes Differential Equations
Mathematics, 2020 This work is devoted to the obtaining of a new numerical scheme based on quadrature formulae for the Lebesgue–Stieltjes integral for the approximation of Stieltjes ordinary differential equations.
Francisco J. Fernández +1 more
doaj +1 more source
Quadrature-Inspired Generalized Choquet Integral in an Application to Classification Problems
IEEE Access, 2023 Correct classification remains a challenge for researchers and practitioners developing algorithms. Even a minor enhancement in classification quality, for instance, can significantly boost the effectiveness of detecting conditions or anomalies in safety
Pawel Karczmarek +8 more
doaj +1 more source
Defect correction from a galerkin viewpoint [PDF]
, 1985 We consider the numerical solution of systems of nonlinear two point boundary value problems by Galerkin's method. An initial solution is computed with piecewise linear approximating functions and this is then improved by using higher—order piecewise ...
Moore, G
core +1 more source
Discretization of the velocity space in solution of the Boltzmann equation
, 1997 We point out an equivalence between the discrete velocity method of solving the Boltzmann equation, of which the lattice Boltzmann equation method is a special example, and the approximations to the Boltzmann equation by a Hermite polynomial expansion ...
A. H. Stroud +18 more
core +2 more sources
A class of quadrature formulas [PDF]
Mathematics of Computation, 1974 It is proved that there exists a set of polynomials orthogonal on [ − 1 , 1 ] [ - 1,1] with respect to the weight function ( 1 ) w ( t
openaire +1 more source