Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives
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DOI: 10.1007/s10543-018-0736-7
Abstract: For discretisations of hyperbolic conservation laws, mimicking properties of operators or solutions at the continuous (differential equation) level discretely has resulted in several successful methods. While well-posedness for nonlinear systems in several space dimensions is… read more here.
Keywords: chain rules; bounded variation; mimetic properties; second derivatives ... See more keywords
On the second derivatives of periods and braking indices in radio pulsars
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DOI: 10.1093/mnras/stx619
Abstract: The analysis of some braking mechanisms for neutron stars was carried out to determine the sign of the second derivative of the pulsar period. This quantity is the important parameter for calculations of the braking… read more here.
Keywords: braking indices; radio pulsars; indices radio; periods braking ... See more keywords
On the Surface Integral Approximation of the Second Derivatives of the Potential of a Bulk Charge Located in a Layer of Small Thickness
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DOI: 10.1134/s0012266118090112
Abstract: We consider a bulk charge potential of the form $$u(x) = \int\limits_\Omega {g(y)F(x - y)dy,x = ({x_1},{x_2},{x_3}) \in {\mathbb{R}^3},} $$u(x)=∫Ωg(y)F(x−y)dy,x=(x1,x2,x3)∈R3, where Ω is a layer of small thickness h > 0 located around the midsurface… read more here.
Keywords: surface; second derivatives; partial partial; bulk charge ... See more keywords
New Hermite-Hadamard inequalities via fractional integrals, whose absolute values of second derivatives is P-convex
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DOI: 10.7153/jmi-2018-12-50
Abstract: In this research article, authors have established a general integral identity for RiemannLiouville fractional integrals. Some new results related to the left-hand side of Hermite-Hadamard type integral inequalities utilizing this integral identity for the class… read more here.
Keywords: new hermite; fractional integrals; second derivatives; hadamard inequalities ... See more keywords