Kostenko, Oleksii V. A numerical method for solving a complete hypersingular integral equation of the second kind and its justification. (English) Zbl 07794832 Math. Model. Anal. 28, No. 4, 689-714 (2023). MSC: 65R20 78M25 65N22 PDFBibTeX XMLCite \textit{O. V. Kostenko}, Math. Model. Anal. 28, No. 4, 689--714 (2023; Zbl 07794832) Full Text: DOI
Assous, Franck; Raichik, Irina A numerical method for 3D time-dependent Maxwell’s equations in axisymmetric singular domains with arbitrary data. (English) Zbl 07789903 Math. Model. Anal. 28, No. 3, 487-508 (2023). MSC: 65N30 78M10 35B65 35L67 PDFBibTeX XMLCite \textit{F. Assous} and \textit{I. Raichik}, Math. Model. Anal. 28, No. 3, 487--508 (2023; Zbl 07789903) Full Text: DOI
Smolkin, Eugene Numerical method for electromagnetic wave propagation problem in a cylindrical inhomogeneous metal dielectric waveguiding structures. (English) Zbl 1488.78028 Math. Model. Anal. 22, No. 3, 271-282 (2017). MSC: 78M99 78A25 78A50 65L60 78A40 PDFBibTeX XMLCite \textit{E. Smolkin}, Math. Model. Anal. 22, No. 3, 271--282 (2017; Zbl 1488.78028) Full Text: DOI
Boutarene, Khaled El-Ghaouti Approximate transmission conditions for a Poisson problem at mid-diffusion. (English) Zbl 1488.35165 Math. Model. Anal. 20, No. 1, 53-75 (2015). MSC: 35C20 35B40 78M35 41A60 35J25 78M30 PDFBibTeX XMLCite \textit{K. E. G. Boutarene}, Math. Model. Anal. 20, No. 1, 53--75 (2015; Zbl 1488.35165) Full Text: DOI
Radziunas, Mindaugas; Čiegis, Raimondas Effective numerical algorithm for simulations of beam stabilization in broad area semiconductor lasers and amplifiers. (English) Zbl 1488.65279 Math. Model. Anal. 19, No. 5, 627-646 (2014). MSC: 65M06 65N06 65Y05 65Z05 35C07 82D37 65T50 65M55 78A60 78M20 PDFBibTeX XMLCite \textit{M. Radziunas} and \textit{R. Čiegis}, Math. Model. Anal. 19, No. 5, 627--646 (2014; Zbl 1488.65279) Full Text: DOI
Cebers, Andrejs; Kalis, Harijs Numerical simulation of magnetic droplet dynamics in a rotating field. (English) Zbl 1267.78048 Math. Model. Anal. 18, No. 1, 80-96 (2013). MSC: 78M20 65M06 65M20 65M70 65N06 65F22 65N20 65N40 76U05 76W05 PDFBibTeX XMLCite \textit{A. Cebers} and \textit{H. Kalis}, Math. Model. Anal. 18, No. 1, 80--96 (2013; Zbl 1267.78048) Full Text: DOI
Cebers, Andrejs; Kalis, Harijs Mathematical modelling of an elongated magnetic droplet in a rotating magnetic field. (English) Zbl 1242.78019 Math. Model. Anal. 17, No. 1, 47-57 (2012). MSC: 78A55 76W05 78M20 65M06 65M20 65M70 65N06 65F22 65H10 65L05 PDFBibTeX XMLCite \textit{A. Cebers} and \textit{H. Kalis}, Math. Model. Anal. 17, No. 1, 47--57 (2012; Zbl 1242.78019) Full Text: DOI
Reinfelds, Andrejs; Dumbrajs, Olgerts; Kalis, Harijs; Cepītis, Jānis; Constantinescu, Dana Numerical experiments with single mode gyrotron equations. (English) Zbl 1238.78018 Math. Model. Anal. 17, No. 2, 251-270 (2012). MSC: 78M20 65N06 65N22 65N40 65Z05 PDFBibTeX XMLCite \textit{A. Reinfelds} et al., Math. Model. Anal. 17, No. 2, 251--270 (2012; Zbl 1238.78018) Full Text: DOI
Čiegis, R.; Radziunas, M. Effective numerical integration of traveling wave model for edge-emitting broad-area semiconductor lasers and amplifiers. (English) Zbl 1259.78031 Math. Model. Anal. 15, No. 4, 409-430 (2010). MSC: 78A60 65N06 65N12 65Z05 78A40 78M20 65Y05 82D37 PDFBibTeX XMLCite \textit{R. Čiegis} and \textit{M. Radziunas}, Math. Model. Anal. 15, No. 4, 409--430 (2010; Zbl 1259.78031) Full Text: DOI
Lavrova, O.; Polevikov, V.; Tobiska, L. Numerical study of the Rosensweig instability in a magnetic fluid subject to diffusion of magnetic particles. (English) Zbl 1426.76169 Math. Model. Anal. 15, No. 2, 223-233 (2010). MSC: 76E25 76M20 78M10 76W05 PDFBibTeX XMLCite \textit{O. Lavrova} et al., Math. Model. Anal. 15, No. 2, 223--233 (2010; Zbl 1426.76169) Full Text: DOI
Dement’ev, A. S.; Čiegis, R.; Laukaitytė, I.; Slavinskis, N. Numerical analysis of laser diode longitudinally pumped solid-state laser generation dynamics using traveling wave model. (English) Zbl 1221.78037 Math. Model. Anal. 15, No. 1, 23-38 (2010). Reviewer: Nikolaos L. Tsitsas (Athens) MSC: 78A60 78M20 PDFBibTeX XMLCite \textit{A. S. Dement'ev} et al., Math. Model. Anal. 15, No. 1, 23--38 (2010; Zbl 1221.78037) Full Text: DOI
Cepītis, J.; Kalis, H.; Reinfelds, A. Numerical investigations of single mode gyrotron equation. (English) Zbl 1177.78009 Math. Model. Anal. 14, No. 2, 169-178 (2009). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78A30 78A40 78M20 PDFBibTeX XMLCite \textit{J. Cepītis} et al., Math. Model. Anal. 14, No. 2, 169--178 (2009; Zbl 1177.78009) Full Text: DOI
Čiegis, R.; Radziunas, M.; Lichtner, M. Numerical algorithms for simulation of multisection lasers by using traveling wave model. (English) Zbl 1157.78358 Math. Model. Anal. 13, No. 3, 327-348 (2008). MSC: 78M20 78A60 65M06 65Y05 78A40 PDFBibTeX XMLCite \textit{R. Čiegis} et al., Math. Model. Anal. 13, No. 3, 327--348 (2008; Zbl 1157.78358) Full Text: DOI
Laukaitytė, I.; Čiegies, R. Finite-difference scheme for one problem of nonlinear optics. (English) Zbl 1206.78068 Math. Model. Anal. 13, No. 2, 211-222 (2008). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A60 78M20 PDFBibTeX XMLCite \textit{I. Laukaitytė} and \textit{R. Čiegies}, Math. Model. Anal. 13, No. 2, 211--222 (2008; Zbl 1206.78068)
Trofimov, V. A.; Matusevich, O. V. Numerical method for 2D soliton at SHG in media with time-dependent combined nonlinearity. (English) Zbl 1142.78320 Math. Model. Anal. 13, No. 1, 123-133 (2008). MSC: 78A60 35Q55 35Q51 78M20 65N06 35P15 PDFBibTeX XMLCite \textit{V. A. Trofimov} and \textit{O. V. Matusevich}, Math. Model. Anal. 13, No. 1, 123--133 (2008; Zbl 1142.78320) Full Text: DOI
Hącia, L. Mathematical modelling in electrical engineering. (English) Zbl 1089.78008 Math. Model. Anal. 10, No. 3, 257-274 (2005). Reviewer: Agneta Balint (Timişoara) MSC: 78A40 78M20 PDFBibTeX XMLCite \textit{L. Hącia}, Math. Model. Anal. 10, No. 3, 257--274 (2005; Zbl 1089.78008)
Grakovski, A.; Alexandrov, A. Spectral method for numerical calculation of derivatives in digital processing of subsurface radar sounding signals. (English) Zbl 1083.78016 Math. Model. Anal. 10, No. 1, 31-40 (2005). MSC: 78M20 78M25 78A60 94A12 PDFBibTeX XMLCite \textit{A. Grakovski} and \textit{A. Alexandrov}, Math. Model. Anal. 10, No. 1, 31--40 (2005; Zbl 1083.78016)
Cepītis, J.; Kalis, H.; Reinfelds, A. Comparison of numerical methods for the problem arising in the gyrotron theory. (English) Zbl 1236.78032 Math. Model. Anal. 10, No. 1, 19-30 (2005). MSC: 78M20 78A35 PDFBibTeX XMLCite \textit{J. Cepītis} et al., Math. Model. Anal. 10, No. 1, 19--30 (2005; Zbl 1236.78032)
Batrakov, K.; Sytova, S. Nonstationary stage of quasi-Cherenkov beam instability in periodical structures. (English) Zbl 1083.78015 Math. Model. Anal. 10, No. 1, 1-8 (2005). MSC: 78M20 78A35 PDFBibTeX XMLCite \textit{K. Batrakov} and \textit{S. Sytova}, Math. Model. Anal. 10, No. 1, 1--8 (2005; Zbl 1083.78015)
Dumbrajs, O.; Kalis, H.; Reinfelds, A. Numerical solution of single model gyrotron equation. (English) Zbl 1092.78004 Math. Model. Anal. 9, No. 1, 25-38 (2004). Reviewer: Gunther Schmidt (Berlin) MSC: 78A40 65N06 65N12 78M20 PDFBibTeX XMLCite \textit{O. Dumbrajs} et al., Math. Model. Anal. 9, No. 1, 25--38 (2004; Zbl 1092.78004)
Batrakov, K.; Sytova, S. Modelling of quasi-Cherenkov electron beam instability in periodical structures. (English) Zbl 1078.78004 Math. Model. Anal. 9, No. 1, 1-8 (2004). MSC: 78A35 78A60 78M20 65R20 PDFBibTeX XMLCite \textit{K. Batrakov} and \textit{S. Sytova}, Math. Model. Anal. 9, No. 1, 1--8 (2004; Zbl 1078.78004)
Cīrulis, T.; Kalis, H.; Lietuvietis, O. Comparative analysis by means of finite differences and DM methods for linearized problem of gyrotrons. (English) Zbl 1236.78009 Math. Model. Anal. 9, No. 2, 127-136 (2004). MSC: 78A35 78M20 78M25 35Q83 35Q61 PDFBibTeX XMLCite \textit{T. Cīrulis} et al., Math. Model. Anal. 9, No. 2, 127--136 (2004; Zbl 1236.78009)
Čiegis, R.; Dement’ev, A.; Šilko, G. Parallel numerical modelling of short laser pulse compression. (English) Zbl 1083.78014 Math. Model. Anal. 9, No. 2, 115-126 (2004). MSC: 78M20 78A60 65Y05 78A45 PDFBibTeX XMLCite \textit{R. Čiegis} et al., Math. Model. Anal. 9, No. 2, 115--126 (2004; Zbl 1083.78014)
Batrakov, K.; Sytova, S. Modelling quasi-Cherenkov electron beam instability in periodical structures. (English) Zbl 1115.78306 Math. Model. Anal. 9, No. 1, 1-8 (2004). MSC: 78A35 78A60 78M20 PDFBibTeX XMLCite \textit{K. Batrakov} and \textit{S. Sytova}, Math. Model. Anal. 9, No. 1, 1--8 (2004; Zbl 1115.78306)
Dumbrajs, O.; Kalis, H.; Reinfelds, A. Numerical solution of single mode gyrotron equation. (English) Zbl 1072.78521 Math. Model. Anal. 9, No. 1, 25-38 (2004). MSC: 78M20 65M20 78A40 65N06 PDFBibTeX XMLCite \textit{O. Dumbrajs} et al., Math. Model. Anal. 9, No. 1, 25--38 (2004; Zbl 1072.78521)
Ilgevičus, A.; Liess, H.-D. Calculation of the heat transfer in cylindrical wires and electrical fuses by implicit finite volume method. (English) Zbl 1063.80010 Math. Model. Anal. 8, No. 3, 217-228 (2003). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 80M10 78M10 80A20 PDFBibTeX XMLCite \textit{A. Ilgevičus} and \textit{H. D. Liess}, Math. Model. Anal. 8, No. 3, 217--228 (2003; Zbl 1063.80010)
Sytova, S. On numerical methods for one problem of mixed type. (English) Zbl 1006.65099 Math. Model. Anal. 6, No. 2, 321-326 (2001). MSC: 65M06 65M12 35M10 78M20 78A60 PDFBibTeX XMLCite \textit{S. Sytova}, Math. Model. Anal. 6, No. 2, 321--326 (2001; Zbl 1006.65099)
Čiegis, R.; Dement’ev, A.; Ratė, P. A parallel algorithm for solving one problem of nonlinear optics. (English) Zbl 1013.78504 Math. Model. Anal. 4, 58-69 (1999). MSC: 78M20 78A60 PDFBibTeX XMLCite \textit{R. Čiegis} et al., Math. Model. Anal. 4, 58--69 (1999; Zbl 1013.78504)