Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP [PDF]
, 2011 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Steklov Mathematical Institute RAS.Applying the two-operator approach, the mixed (Dirichlet–Neumann) boundary value ...
Mikhailov, SE, Ayele, TG
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Jordan's Inequality: Refinements, Generalizations, Applications and Related Problems [PDF]
, 2006 This is an expository article. Some developments on refinements, generalizations, applications of Jordan’s inequality and related problems, including some estimates for three classes of complete elliptic integrals and several proofs of Wilker’s ...
Qi, Feng
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Definite integrals of the complete elliptic integral K
Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences, 1976 Definite integrals whose integrands contain the complete elliptic integral of the first kind are ...
Glasser, M.L.
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Localized direct segregated boundary-domain integral equations for variable-coefficient transmission problems with interface crack [PDF]
, 2011 The full text of the published article can be accessed at the link belowSome transmission problems for scalar second order elliptic partial differential equations are considered in a bounded composite domain consisting of adjacent anisotropic subdomains ...
Mikhailov, SE +2 more
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Mesh-based numerical implementation of the localized boundary-domain integral equation method to a variable-coefficient Neumann problem [PDF]
, 2005 An implementation of the localized boundary-domain integral-equation (LBDIE) method for the numerical solution of the Neumann boundary-value problem for a second-order linear elliptic PDE with variable coefficient is discussed.
Mikhailov, SE, Nakhova, IS
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On the Complete Elliptic Integrals and Babylonian Identity II: An Approximation for the Complete Elliptic Integral of the First Kind [PDF]
Bulletin of Mathematical Sciences and Applications, 2013 Using the Theorem 4 of previous paper, I evaluate the complete elliptic integral of the first kind in approximate analytical closed form, by means of Bessel functions.
Edigles Guedes, Raja Rama Gandhi
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A Rational Approximation for the Complete Elliptic Integral of the First Kind
Mathematics, 2020 Let K ( r ) be the complete elliptic integral of the first kind. We present an accurate rational lower approximation for K ( r ) . More precisely, we establish the inequality 2 π K ( r ) > 5 ( r ′ ) 2 + 126 r ′ + 61 61 (
Zhen-Hang Yang +2 more
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INEQUALITIES OF THE COMPLETE ELLIPTIC INTEGRALS
Tamkang Journal of Mathematics, 1998 In this article, using Tchebycheff's integral inequality, the authors establish some estimates and inequalities for three kinds of the complete elliptic integrals.
Qi, Feng, Huang, Zheng
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Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]
, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
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An Inequality for Complete Elliptic Integrals
Journal of Mathematical Analysis and Applications, 1994 In [the second author and \textit{J. Pfaltzgraff}, J. Math. Anal. Appl. 179, No. 1,110-119 (1993; Zbl 0797.31009)] it has been proved that \[ c_ 1 m(Q)\leq \mu(Q)\leq c_ 2 m(Q), \] where \(\mu(Q)\), \(m(Q)\) denote, respectively, the Robin modulus, and the exterior modulus of the rectangle \(Q\), and \(c_ 1\), \(c_ 2\) are some positive absolute ...
Anderson, G.D. +2 more
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