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Vyacheslav Maksimov

On one algorithm for solving the problem of source function reconstruction

In the paper, the problem of source function reconstruction in a differential equation of the parabolic type is investigated. Using the semigroup representation of trajectories of dynamical systems, we build a finite-step iterative procedure for solving this problem. The algorithm originates from the theory of closed-loop control (the method of extremal shift). At every step of the algorithm, the sum of a quality criterion and a linear penalty term is minimized. This procedure is robust to perturbations in problems data.

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Prabhat Chandra Ghosh, Pradip Kumar Sadhu, Ankita Ghosh and Nitai Pal

. 50, no. 4, pp. 978-989 (2015). [16] Musavi F., Eberle W., Overview of wireless power transfer technologies for electric vehicle battery charging, IET Power Electronics, vol. 7, no. 1, pp. 60-66 (2014). [17] Peng F.Z., Z-source inverter, IEEE Transactions on Industry Applications, vol. 39, no. 2, pp. 504510 (2003). [18] Ellabban O., Abu-Rub H., Z-source inverter: topology improvements review, IEEE Industrial Electronics Magazine, vol. 10, no. 1, pp. 6-24 (2016). [19] Huang L., Hu A.P., Swain A.K., Su Y

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A. Godlewska

References Correa, P., Rodriguez, J., Lizama, I. and Andler, D. (2009). A Predictive Control Scheme for Current- Source Rectifiers, IEEE Transaction on Industrial Electronics, 56(5), pp. 1813-1815. Cortes, P., Kouro, S., La Rocca, B., Vargas, R., Rodriguez, J., Leon, J., Vazquez, S.and Franquelo, L. (2009). Guidelines for weighting factors design in model predictive control of power converters and drives. In: IEEE International Conference on Industrial Technology (ICIT), February 2009, Gippsland, Australia, pp. 1

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Michael Dumbser and Claus-Dieter Munz

high order Discontinuous Galerkin schemes , In: Numerical Methods for Hyperbolic and Kinetic Problems (S. Cordier, T. Goudon, M. Gutnic and E. Sonnendrucker, Eds.). EMS Publishing House, pp. 295-333. Dumbser M. and Munz C.D. (2006): Building blocks for arbitrary high order discontinuous Galerkin schemes. Journal of Scientific Computing , Vol. 27, pp. 215-230. Greenberg J.M. and Le Roux A.Y. (1996): A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. SIAM Journal on

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G. Zhou and A. Cichocki

applications”, SIAM Review 51 (3), 455-500 (2009). [5] A. Cichocki, R. Zdunek, A.-H. Phan, and S. Amari, Nonnegative Matrix and Tensor Factorizations: Applications to ExploratoryMulti-way Data Analysis and Blind Source Separation , Wiley, Chichester, 2009. [6] A. Cichocki, “Tensors decompositions: new concepts for brain data analysis?”, J. Control, Measurement, and System Integration(SICE) 7, 507-517 (2011). [7] L. De Lathauwer, B. De Moor, and J. Vandewalle, “On the best rank-1 and rank-(R1,R2, ...,Rn) approximation of

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S.P Anjali Devi, M. Agneeshwari and J. Wilfred Samuel Raj

non-uniform heat source . - International Journal of Heat and Mass Transfer, vol.50, pp.960-966. [23] Nandeppanavar M.M., Siddalingappa M.N. and Jyoti H. (2013): Heat transfer of viscoelastic fluid flow due to nonlinear stretching sheet with internal heat source.- International Journal of Applied Mechanics and Engineering, vol.18, No.3, pp.739-760. [24] Viskanta R. and Grosh R.J. (1962): Heat transfer by simultaneous conduction and radiation in an absorbing medium . - Journal of Heat Transfer, vol.84, pp.63-72. [25] Rapits A. and Massalas C

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Xiu-zhi Meng, Zong-sheng Wang, Zeng-zhi Zhang and Feng-qian Wang

References [1] Xin Qian (2008). Cross-border Mining: Curse of safety accidents. Safety and Healthy , 10, 16-17. [2] Sun Yingjie (2008). The study of micro-seismic source place inversion methods. Published master dissertation, China University of Petroleum, Dongying, China. [3] Zhang Naling (2010). Research on the image algorithms of the fracture of the micro-seismic monitoring oil well. Published master dissertation, Jilin University, Jinlin, China. [4] Cheng Yunhai (2006

Open access

Shawn Ross, Brian Ballsun-Stanton, Adela Sobotkova and Penny Crook