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Beyond pressureless gas dynamics : Quadrature-based velocity moment models
gas dynamics Quadrature-based velocity moment models
2010/11/19
Following the seminal work of F. Bouchut on zero pressure gas dynamics which has been extensively used for gas particle-flows, the present contribution investigates quadrature-based velocity moments ...
Tanh-travelling wave solutions and reduction of variable-coefficient unstable nonlinear Schrodinger equation to a quadrature in electron beam plasma
variable -coefficient unstable nonlinear Schrö dinger (vcUNLS) equation travelling wave solutions, RQ method
2010/9/14
The unstable system of plasma equations where an electron beam is injected under a high-frequency electric field is reduced to the variable -coefficient unstable nonlinear Schrödinger (vcUNLS) eq...
Existence of quadrature surfaces for uniform density supported by a segment
free boundary quadrature surfaces shape optimization optimality con-dition uniform density
2008/12/26
Given are two strictly positive constants a and k. We show
that if a ¸ 3:92k then there exists an open and bounded set in R2
which contains strictly the line segment C (C = [¡1; 1]...
A Generalisation of the Pre-Grüss Inequality and Applications to some Quadrature Formulae
Pre-Grüss inequality Generalization Quadrature formulae
2008/7/3
A generalization of the pre-Grüss inequality is presented. It is applied to estimations of remainders of some quadrature formulae.
Inequalities Between the Quadrature Operators and Error Bounds of Quadrature Rules
Approximate integration Quadrature rules Convex functions of higher order
2008/7/1
The order structure of the set of six operators connected with quadrature rules is established in the class of 3-convex functions. Convex combinations of these operators are studied and their error bo...
Monotonicity Results for a Compound Quadrature Method for Finite-Part Integrals
Hadamard finite-part integral Quadrature formula Product trapezoidal formula Monotonicity Fractional differential equation Discrete Gronwall inequality Backward differentiation formula
2008/6/30
Monotonicity Results for a Compound Quadrature Method for Finite-Part Integrals.
On Error Bounds for Gauss-Legendre and Lobatto Quadrature Rules
Convex functions of higher orders Approximate integration Quadrature rules
2008/6/27
The error bounds for Gauss-Legendre and Lobatto quadratures are proved for
four times differentiable functions (instead of six times differentiable functions as in the classical results). Auxiliaril...
Sharp Error Bounds for Some Quadrature Formulae and Applications
Sharp error bounds Quadrature formulae Numerical integration
2008/6/26
In the article ''N. Ujevic, A generalization of the pre-Grüss inequality and applications to some quadrature formulae, J. Inequal. Pure Appl. Math., 3(2), Art. 13, 2002'' error bounds for some quadrat...
Approximate eigenvalues of periodic Sturm-Liouville problems using differential quadrature method
Eigenvalues Differential quadrature method Periodic boundary conditions
2010/9/15
Computation of eigenvalues of regular Sturm-Liouville problems with periodic boundary conditions is considered. It is shown through numerical illustrations that both polynomial-based differential quad...