Inter-wythe Slip Design Criteria for Non-Composite Insulated Walls

Non-composite insulated wall connector design is governed by ICC-ES AC320. This standard works entirely in the loading domain, asking the engineer to prevent connector failure due to tension and shear loading. In this paper, the authors discuss additional criteria related to thermal loading and out-of-plane wind loading that create displacement demand in the non-composite connectors. Loads suitable for such analyses are not well defined. Loads are assumed and demonstrated herein and shown to cause significant displacement demand on connectors. Limited non-composite wythe connector testing is available, and some results are presented here. A comparison indicates that outright failure of non-composite connectors is unlikely for current designs, but fatigue due to thermal and wind loading may be of important consideration, in particular for tall panels

Multidimensional Homeier's generalized class and its application to planar 1D Bratu problem

[EN] In this paper, a parametric family of iterative methods for solving nonlinear systems, including Homeier’s scheme is presented, proving its third-order of convergence. The numerical section is devoted to obtain an estimation of the solution of the classical Bratu problem by transforming it in a nonlinear system by using finite differences, and solving it with different elements of the iterative family.This research was supported by Ministerio de Economía y Competitividad MTM2014-52016-C02-02.Cordero Barbero, A.; Franqués García, AM.; Torregrosa Sánchez, JR. (2015). Multidimensional Homeier's generalized class and its application to planar 1D Bratu problem. Journal of the Spanish Society of Applied Mathematics. 70(1):1-10. https://doi.org/10.1007/s40324-015-0037-xS110701Abad, M. F., Cordero, A., Torregrosa, J. R.: Fourth-and fifth-order for solving nonlinear systems of equations: an application to the global positioning system, Abstr. Appl. Anal. (2013) (Article ID 586708)Andreu, C., Cambil, N., Cordero, A., Torregrosa, J.R.: Preliminary orbit determination of artificial satellites: a vectorial sixth-order approach, Abstr. Appl. Anal. (2013) (Article ID 960582)Awawdeh, F.: On new iterative method for solving systems of nonlinear equations. Numer. Algorithms 54, 395–409 (2010)Boyd, J.P.: One-point pseudospectral collocation for the one-dimensional Bratu equation. Appl. Math. Comput. 217, 5553–5565 (2011)Bratu, G.: Sur les equation integrals non-lineaires. Bull. Math. Soc. France 42, 113–142 (1914)Buckmire, R.: Applications of Mickens finite differences to several related boundary value problems. In: Mickens, R.E. (ed.) Advances in the Applications of Nonstandard Finite Difference Schemes, pp. 47–87. World Scientific Publishing, Singapore (2005)Cordero, A., Hueso, J.L., Martínez, E., Torregrosa, J.R.: A modified Newton-Jarratt’s composition. Numer. Algorithms 55, 87–99 (2010)Gelfand, I.M.: Some problems in the theory of quasi-linear equations. Trans. Am. Math. Soc. Ser. 2, 295–381 (1963)Homeier, H.H.H.: On Newton-tyoe methods with cubic convergence. J. Comput. Appl. Math. 176, 425–432 (2005)Jacobsen, J., Schmitt, K.: The Liouville-Bratu-Gelfand problem for radial operators. J. Differ. Equ. 184, 283–298 (2002)Jalilian, R.: Non-polynomial spline method for solving Bratu’s problem. Comput. Phys. Comm. 181, 1868–1872 (2010)Kanwar, V., Kumar, S., Behl, R.: Several new families of Jarratts method for solving systems of nonlinear equations. Appl. Appl. Math. 8(2), 701–716 (2013)Mohsen, A.: A simple solution of the Bratu problem. Comput. Math. with Appl. 67, 26–33 (2014)Petković, M., Neta, B., Petković, L., Džunić, J.: Multipoint Methods for Solving Nonlinear Equations. Academic Press, Amsterdam (2013)Sharma, J.R., Guna, R.K., Sharma, R.: An efficient fourth order weighted-Newton method for systems of nonlinear equations. Numer. Algorithms 62, 307–323 (2013)Sharma, J.R., Arora, H.: On efficient weighted-Newton methods for solving systems of nonlinear equations. Appl. Math. Comput. 222, 497–506 (2013)Traub, J.F.: Iterative Methods for the Solution of Equations. Chelsea Publishing Company, New York (1982)Wan, Y.Q., Guo, Q., Pan, N.: Thermo-electro-hydrodynamic model for electrospinning process. Int. J. Nonlinear Sci. Numer. Simul. 5, 5–8 (2004

Solving a model for the evolution of smoking habit in Spain with homotopy analysis method

We obtain an approximated analytical solution for a dynamic model for the prevalence of the smoking habit in a constant population but with equal and different from zero birth and death rates. This model has been successfully used to explain the evolution of the smoking habit in Spain. By means of the Homotopy Analysis Method, we obtain an analytic expression in powers of time t which reproduces the correct solution for a certain range of time. To enlarge the domain of convergence we have applied the so-called optimal convergence-control parameter technique and the homotopy-Padé technique. We present and discuss graphical results for our solutions. ©Guerrero, F.; Santonja, F.; Villanueva Micó, RJ. (2013). Solving a model for the evolution of smoking habit in Spain with homotopy analysis method. Nonlinear Analysis: Real World Applications. 14(1):549-558. doi:10.1016/j.nonrwa.2012.07.015S54955814

Uniform Convexity of Köthe-Bochner function spaces

Of concern are the Köthe-Bochner function spaces E(X) where X is a real Banach space. Thus, of concern is the uniform convexity on the Köthe-Bochner function space E(X). We show that E(X) is uniformly convex if and only if both spaces E and X are uniformly convex. It is the uniform convexity that is the focal point

Structural, magnetic and magnetocaloric properties of La0.67Ba0.22Sr0.11Mn1 − xFexO3 nanopowders

International audienc

A new numerical method for heat equation subject to integral specifications

We develop a numerical technique for solving the one-dimensional heat equation that combine classical and integral boundary conditions. The combined Laplace transform, high-precision quadrature schemes, and Stehfest inversion algorithm are proposed for numerical solving of the problem. A Laplace transform method is introduced for solving considered equation, definite integrals are approximated by high-precision quadrature schemes. To invert the equation numerically back into the time domain, we apply the Stehfest inversion algorithm. The accuracy and computational efficiency of the proposed method are verified by numerical examples. 2016 All rights reserved.Scopu

Adaptation strategies for different sectors in the WANA region: Summary of breakout group discussions

To develop informed decisions on practical adaptation strategies in the WANA region, breakout groups were constituted for four different sectors: Crops; Livestock, Grasslands and Rangelands; Land Use, Forestry, Fisheries and Aquaculture; and Institutions, Policy and Cooperation. Summaries of the discussions in the different breakout groups are presented in this chapter. © Springer Science+Business Media Dordrecht 2013