[1. Bamberger A., Ha-Duong T. (1986a), Variational formulation for calculating the diffraction of an acoustic wave by a rigid surface, Math. Methods Appl. Sci., 8(4), 598-608 (in French).10.1002/mma.1670080139]Search in Google Scholar
[2. Bamberger A., Ha-Duong T. (1986b), Variational space-time formulation for computation of the diffraction of an acoustic wave by the retarded potential (I), Math. Methods Appl. Sci., 8(3), 405-435 (in French).10.1002/mma.1670080127]Search in Google Scholar
[3. Chapko R., Johansson B. T. (2016), Numerical solution of the Dirichlet initial boundary value problem for the heat equation in exterior 3-dimensional domains using integral equations, Journal of Engineering Mathematics, 1-15.10.1007/s10665-016-9858-6]Search in Google Scholar
[4. Costabel M. (1988), Boundary integral operators on Lipschitz domains: elementary results, SIAM J. Math. Anal., V. 19, 613626.]Search in Google Scholar
[5. Dautray R., Lions J. L. (1992), Mathematical analysis and numerical methods for science and technology, Volume 5 Evolution problems I., Springer-Verlag, Berlin.]Search in Google Scholar
[6. Dominguez V., Sayas F. J. (2013), Some properties of layer potentials and boundary integral operators for wave equation, Journal of Integral Equations and Applications, 25(2), 253-294.10.1216/JIE-2013-25-2-253]Search in Google Scholar
[7. Ha-Duong T. (2003), On retarded potential boundary integral equations and their discretization, In Davies P.; Duncan D.; Martin P.; Rynne B. (eds.): Topics in computational wave propagation. Direct and inverse problems, Berlin: Springer-Verlag, 301-336.10.1007/978-3-642-55483-4_8]Search in Google Scholar
[8. Halazyuk V. A., Lyudkevych Y. V., Muzychuk A. O. (1984), Method of integral equations in non-stationary defraction problems, LSU. Dep. in UkrNIINTI, 601 (in Ukrainian).]Search in Google Scholar
[9. Hsiao G. C., Wendland W. L. (1977), A finite element method for some integral equations of the first kind, J. Math. Anal. Appl., 58, 449–481.]Search in Google Scholar
[10. Hsiao G. C., Wendland W. L. (2008), Boundary Integral Equations, Applied Mathematical Sciences, Springer-Verlag Berlin Heidelberg.10.1007/978-3-540-68545-6]Search in Google Scholar
[11. Jung B. H., Sarkar T. K., Zhang Y., Ji Z., Yuan M., Salazar-Palma M., Rao S. M., Ting S. W., Mei Z., De A. (2010), Time and frequency domain solutions of em problems using integral equations and a Hybrid methodology, Wiley-IEEE Press.10.1002/9780470892329]Search in Google Scholar
[12. Keilson J. (1981), The bilateral Laguerre transform, Applied Mathematics and Computation, 8(2), 137–174.10.1016/0096-3003(81)90004-7]Search in Google Scholar
[13. Laliena A. R., Sayas F. J. (2009), Theoretical aspects of the application of convolution quadrature to scattering of acoustic waves, Numer. Math., 112(4), 637-678.]Search in Google Scholar
[14. Litynskyy S., Muzychuk A. (2015a), Retarded Potentials and Laguerre Transform for Initial-Boundary Value Problems for the Wave Equation, 20th IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED-2015), Lviv: Pidstryhach IAPMM of NASU, 139-142 (in Ukrainian).10.1109/DIPED.2015.7324278]Search in Google Scholar
[15. Litynskyy S., Muzychuk A. (2015b), Solving of the initial-boundary value problems for the wave equation by the use of retarded potential and the Laguerre transform, Matematychni Studii, 44(2), 185-203 (in Ukrainian).10.15330/ms.44.2.185-203]Search in Google Scholar
[16. Litynskyy S., Muzychuk A. (2016), On the generalized solution of the initial-boundary value problems with Neumann condition for the wave equation by the use of retarded double layer potential and the Laguerre transform, Journal of Computational and Applied Mathematics, 2(122), 21-39.]Search in Google Scholar
[17. Litynskyy S., Muzychuk Yu., Muzychuk A. (2009), On weak solutions of boundary problems for an infinite triangular system of elliptic equations, Visnyk of the Lviv university. Series of Applied mathematics and informatics, 15, 52-70 (in Ukrainian).10.1109/DIPED.2009.5306940]Search in Google Scholar
[18. Lubich Ch. (1994), On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations, Numer. Math., 365-389.]Search in Google Scholar
[19. Lyudkevych Y. V., Muzychuk A. (1990), Numerical solution of boundary problems for wave eqution, L'viv: LSU, 80 (in Ukrainian).]Search in Google Scholar
[20. Monegato G., Scuderi L., Staniс M. P. (2011), Lubich convolution quadratures and their application to problems described by space-time BIEs, Numerical Algorithms, Springer Science, 3(56), 405–436.10.1007/s11075-010-9394-9]Search in Google Scholar
[21. Muzychuk Yu. A., Chapko R. S. (2012), On variational formulations of inner boundary value problems for infinite systems of elliptic equations of special kind, Matematychni Studii, 38(1), 12-34.]Search in Google Scholar
[22. Mykhas'kiv V. V., Martin P. A., Kalynyak O. I. (2014), Time-domain BEM for 3-D transient elastodynamic problems with interacting rigid movable disc-shaped inclusions, Computational Mechanics, 53(6), 1311-1325.10.1007/s00466-014-0975-7]Search in Google Scholar
[23. Polozhyy H. (1964), Equations of mathematical physics, Nauka, Moscow (in Russian).]Search in Google Scholar
[24. Reed M., Simon B. (1977), Methods of modern mathematical physics, Mir, Moscow (in Russian).]Search in Google Scholar
[25. Sayas F. J., Qiu T. (2015), The Costabel-Stephan system of Boundary Integral Equations in the Time Domain, Mathematics of Computation, 85, 2341–2364.10.1090/mcom3053]Search in Google Scholar
[26. Schtainbah O. (2008), Numerical Approximation Methods for Elliptic Boundary Value Problems. Finite and Boundary Elements, Springer Science.]Search in Google Scholar
[27. Vavrychuk V. H. (2011), Numerical solution of mixed non-stationary problem of thermal conductivity in partially unbounded domain, Visnyk of the Lviv university, Series of Applied mathematics and informatics, 17, 62-72 (in Ukrainian).]Search in Google Scholar
