Asymptotic Analysis of Periodic Structures
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This article is published in Journal of Applied Mechanics.The article was published on 1979-06-01 and is currently open access. It has received 5038 citations till now. The article focuses on the topics: Asymptotic analysis.read more
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Numerical algorithm for solving two-point, second-order periodic boundary value problems for mixed integro-differential equations
Omar Abu Arqub,Mohammed Al-Smadi +1 more
TL;DR: The numerical result indicates that the proposed method for solving Fredholm-Volterra integro-differential equations for two-point, second-order periodic boundary value problems is straightforward to implement, efficient, and accurate for solving linear and nonlinear equations.
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Homogenization and boundary layers
TL;DR: In this article, the homogenization of elliptic systems with Dirichlet boundary condition was studied, where the coefficients of both the system and the boundary data are e-periodic.
Journal ArticleDOI
Homogenization of random singular structures and random measures
V V Zhikov,A L Pyatnitskii +1 more
TL;DR: In this article, the homogenization of random statistically homogeneous singular structures and variational problems involving integration with respect to ergodic stationary random measures are dealt with in the context of variational problem solving.
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Enhancement of the traveling front speeds in reaction-diffusion equations with advection
Alexander Kiselev,Leonid Ryzhik +1 more
TL;DR: In this paper, the authors established rigorous lower bounds on the speed of traveling fronts and on the bulk burning rate in reaction-diffusion equation with passive advection, where nonlinearity is assumed to be of either KPP or ignition type.
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The two-scale convergence method applied to generalized Besicovitch spaces
TL;DR: The twoscale convergence method has proved to be a very useful tool for dealing with periodic homogenization problems as mentioned in this paper, and it has been applied to generalized Besicovitch spaces.
References
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An Introduction To Probability Theory And Its Applications
TL;DR: A First Course in Probability (8th ed.) by S. Ross is a lively text that covers the basic ideas of probability theory including those needed in statistics.
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Théorie des distributions
TL;DR: The merite as discussed by the authors is a date marque une date dans le progres des mathematiques and de la physique en levant l'ambiguite que constituait le succes des methodes de calcul symbolique aupres des physiciens and l'inacceptabilite de leurs formules au regard de la rigueur mathematiques.