Popov, A.; Popov, V. Calculation of lattice sums of general type. (English) Zbl 1469.82034 J. Math. Chem. 58, No. 10, 2399-2414 (2020). MSC: 82D25 33F05 40A25 40A30 40B05 40C15 40F05 40H05 65D20 82B20 PDFBibTeX XMLCite \textit{A. Popov} and \textit{V. Popov}, J. Math. Chem. 58, No. 10, 2399--2414 (2020; Zbl 1469.82034) Full Text: DOI
Stéphanou, A.; Lesart, A. C.; Deverchère, J.; Juhem, A.; Popov, A.; Estève, F. How tumour-induced vascular changes alter angiogenesis: insights from a computational model. (English) Zbl 1370.92077 J. Theor. Biol. 419, 211-226 (2017). MSC: 92C50 92C15 92-08 PDFBibTeX XMLCite \textit{A. Stéphanou} et al., J. Theor. Biol. 419, 211--226 (2017; Zbl 1370.92077) Full Text: DOI
Popov, A. Asymptotic analysis of the Steklov spectral problem in thin perforated domains with rapidly varying thickness and different limit dimensions. (English) Zbl 1470.74026 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer. 495-507 (2015). MSC: 74G10 74K99 35B27 PDFBibTeX XMLCite \textit{A. Popov}, in: Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21--25, 2014. Cham: Birkhäuser/Springer. 495--507 (2015; Zbl 1470.74026) Full Text: DOI
Popov, A.; Aslan, O. Scalar self-force on static charge in a long throat. (English) Zbl 1333.83011 Int. J. Mod. Phys. A 30, No. 22, Article ID 1550143, 9 p. (2015). MSC: 83C05 83C15 83C40 81T20 81Q20 83C47 PDFBibTeX XMLCite \textit{A. Popov} and \textit{O. Aslan}, Int. J. Mod. Phys. A 30, No. 22, Article ID 1550143, 9 p. (2015; Zbl 1333.83011) Full Text: DOI arXiv
Popov, A.; Kovalchuk, V. Parametric representation of wave propagation in non-uniform media (both in transmission and stop bands). (English) Zbl 1271.70039 Math. Methods Appl. Sci. 36, No. 11, 1350-1362 (2013). MSC: 70J40 74J05 34C25 PDFBibTeX XMLCite \textit{A. Popov} and \textit{V. Kovalchuk}, Math. Methods Appl. Sci. 36, No. 11, 1350--1362 (2013; Zbl 1271.70039) Full Text: DOI arXiv
Popov, A. G.; Sidel’nikov, G. B. Generalized \(\Lambda^2\) third order equation: structural recovery of the generating metric for the modified KdV equation. (Russian) Zbl 1274.35336 Zh. Vychisl. Mat. Mat. Fiz. 52, No. 10, 1847-1854 (2012). Reviewer: Andrei Zemskov (Moskva) MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{A. G. Popov} and \textit{G. B. Sidel'nikov}, Zh. Vychisl. Mat. Mat. Fiz. 52, No. 10, 1847--1854 (2012; Zbl 1274.35336) Full Text: MNR
Pons-Salort, M.; van der Sanden, B.; Juhem, A.; Popov, A.; Stéphanou, A. A computational framework to assess the efficacy of cytotoxic molecules and vascular disrupting agents against solid tumours. (English) Zbl 1241.92044 Math. Model. Nat. Phenom. 7, No. 1, 49-77 (2012). MSC: 92C50 92-08 37B15 92C37 68U99 65C20 92C42 PDFBibTeX XMLCite \textit{M. Pons-Salort} et al., Math. Model. Nat. Phenom. 7, No. 1, 49--77 (2012; Zbl 1241.92044) Full Text: DOI EuDML
Popov, A. G.; Viktorova, O. D. Bäcklund transformations and two-soliton pseudospherical surfaces. (English. Russian original) Zbl 1282.53010 J. Math. Sci., New York 174, No. 6, 663-674 (2011); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 124, No. 2 (2010). MSC: 53A10 35C08 37K35 58J72 PDFBibTeX XMLCite \textit{A. G. Popov} and \textit{O. D. Viktorova}, J. Math. Sci., New York 174, No. 6, 663--674 (2011; Zbl 1282.53010); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 124, No. 2 (2010) Full Text: DOI
Gusakov, E.; Heuraux, S.; Irzak, M.; Popov, A. Possibility of a giant scattering enhancement due to wave trapping in a reflectometry experiment. (English) Zbl 1263.76096 Phys. Scr. 84, No. 4, Article ID 045504, 7 p. (2011). MSC: 76X05 78A40 78A45 PDFBibTeX XMLCite \textit{E. Gusakov} et al., Phys. Scr. 84, No. 4, Article ID 045504, 7 p. (2011; Zbl 1263.76096) Full Text: DOI Link
Popov, A.; Brodskaya, A. Ladyzhensky; Khozioski, S. Uniform asymptotics of the wave diffracted by a cone of arbitrary cross section. (English) Zbl 1181.35278 Russ. J. Math. Phys. 16, No. 2, 296-299 (2009). MSC: 35Q60 78A45 78A05 35C20 PDFBibTeX XMLCite \textit{A. Popov} et al., Russ. J. Math. Phys. 16, No. 2, 296--299 (2009; Zbl 1181.35278) Full Text: DOI
Popov, A. G.; Maevskii, E. V. Analytical approaches to the study of the sine-Gordon equation and pseudospherical surfaces. (English. Russian original) Zbl 1130.53012 J. Math. Sci., New York 142, No. 5, 2377-2418 (2007); translation from Sovrem. Mat. Prilozh. 31, 13-52 (2005). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 53A10 58J72 37K35 PDFBibTeX XMLCite \textit{A. G. Popov} and \textit{E. V. Maevskii}, J. Math. Sci., New York 142, No. 5, 2377--2418 (2007; Zbl 1130.53012); translation from Sovrem. Mat. Prilozh. 31, 13--52 (2005) Full Text: DOI
Popov, A. G. Pseudo-spherical surfaces and some problems of mathematical physics. (Russian, English) Zbl 1073.35062 Fundam. Prikl. Mat. 11, No. 1, 227-239 (2005); translation in J. Math. Sci., New York 141, No. 1, 1062-1070 (2007). Reviewer: Alexander E. Guterman (Moskva) MSC: 35G20 53A05 PDFBibTeX XMLCite \textit{A. G. Popov}, Fundam. Prikl. Mat. 11, No. 1, 227--239 (2005; Zbl 1073.35062); translation in J. Math. Sci., New York 141, No. 1, 1062--1070 (2007)
Aleksyuk, V.; Isakov, A.; Popov, A.; Shergin, Yu. Aleksandr Grigor’evich Poroshkin (on the occasion of his seventieth birthday). (Russian. English summary) Zbl 1011.01516 Vestn. Syktyvkar. Univ., Ser. 1, Mat. Mekh. Inform. 4, 292-299 (2001). MSC: 01A70 PDFBibTeX XMLCite \textit{V. Aleksyuk} et al., Vestn. Syktyvkar. Univ., Ser. 1, Mat. Mekh. Inform. 4, 292--299 (2001; Zbl 1011.01516)
Popov, A. G.; Zadadaev, S. A. Some constructive applications of \(\Lambda^2\)-representations to integration of PDEs. (English) Zbl 0965.35152 Ann. Pol. Math. 74, 261-274 (2000). Reviewer: Francesco Calogero (Roma) MSC: 35Q53 65M50 37K15 PDFBibTeX XMLCite \textit{A. G. Popov} and \textit{S. A. Zadadaev}, Ann. Pol. Math. 74, 261--274 (2000; Zbl 0965.35152) Full Text: DOI EuDML
Popov, A. G. Application of discrete nets on a hyperbolic plane in the integration of equations of the Lobachevski class. (English. Russian original) Zbl 0970.65094 Comput. Math. Math. Phys. 39, No. 6, 897-906 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 6, 932-942 (1999). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{A. G. Popov}, Comput. Math. Math. Phys. 39, No. 6, 897--906 (1999; Zbl 0970.65094); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 6, 932--942 (1999)
Domokos, M.; Popov, A. On the degree of nilpotency of the radical of relatively free algebras. (English) Zbl 0909.16017 Math. Pannonica 8, No. 1, 11-16 (1997). Reviewer: János Kurdics (Nyiregyháza) MSC: 16R10 16N40 15A75 16R40 PDFBibTeX XMLCite \textit{M. Domokos} and \textit{A. Popov}, Math. Pannonica 8, No. 1, 11--16 (1997; Zbl 0909.16017) Full Text: EuDML
Popov, A. G. Non-Euclidean geometry and differential equations. (English) Zbl 0851.35119 Janeczko, Stanisław (ed.) et al., Singularities and differential equations. Proceedings of a symposium, Warsaw, Poland. Warsaw: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 33, 297-308 (1996). MSC: 35Q53 53A35 PDFBibTeX XMLCite \textit{A. G. Popov}, Banach Cent. Publ. 33, 297--308 (1996; Zbl 0851.35119)
Poznyak, E. G.; Popov, A. G. Non-Euclidean geometry: The Gauss formula and an interpretation of partial differential equations. (English) Zbl 0852.35128 J. Math. Sci., New York 78, No. 3, 241-252 (1996). MSC: 35Q53 53A35 PDFBibTeX XMLCite \textit{E. G. Poznyak} and \textit{A. G. Popov}, J. Math. Sci., New York 78, No. 3, 241--252 (1996; Zbl 0852.35128) Full Text: DOI
Popov, A. G. Chebyshev nets and the development of net approaches in mathematical physics. (Russian) Zbl 0905.53006 Vestn. Mosk. Univ., Ser. I 1996, No. 6, 82-85 (1996). Reviewer: A.A.Martynyuk (Kyïv) MSC: 53A05 01A55 37J35 37K10 01A60 35Q53 PDFBibTeX XMLCite \textit{A. G. Popov}, Vestn. Mosk. Univ., Ser. I 1996, No. 6, 82--85 (1996; Zbl 0905.53006)
Budnik, A. P.; Vakulovskij, A. S.; Popov, A. G.; Surzhikov, S. T. Mathematical modelling of an optical discharge propagating along the CO\(_2\)-laser beam in the regime of slow combustion with refraction of laser radiation. (Russian. English summary) Zbl 0993.78511 Mat. Model. 8, No. 5, 3-25 (1996). MSC: 78A60 PDFBibTeX XMLCite \textit{A. P. Budnik} et al., Mat. Model. 8, No. 5, 3--25 (1996; Zbl 0993.78511) Full Text: MNR
Popov, A. G. Chebyshev nets and development of net approaches in mathematical physics (on Chebyshev’s paper “On cutting cloth”). (English. Russian original) Zbl 0908.53002 Mosc. Univ. Math. Bull. 51, No. 6, 50-53 (1996); translation from Vestn. Mosk. Univ., Ser. I 1996, No. 6, 82-85 (1996). MSC: 53A05 01A55 37J35 37K10 01A60 35Q53 PDFBibTeX XMLCite \textit{A. G. Popov}, Mosc. Univ. Math. Bull. 51, No. 6, 82--85 (1996; Zbl 0908.53002); translation from Vestn. Mosk. Univ., Ser. I 1996, No. 6, 82--85 (1996)
Popov, A. G. Geometric method of exact integrability for elliptic Liouville equation \(\Delta u=e^u\). (English. Russian original) Zbl 0903.58050 Mosc. Univ. Math. Bull. 50, No. 3, 49-51 (1995); translation from Vestn. Mosk. Univ., Ser. I 1995, No. 3, 82-84 (1995). Reviewer: W.Hoh (Bielefeld) MSC: 58J05 35J60 53C21 PDFBibTeX XMLCite \textit{A. G. Popov}, Mosc. Univ. Math. Bull. 50, No. 3, 49--51 (1995; Zbl 0903.58050); translation from Vestn. Mosk. Univ., Ser. I 1995, No. 3, 82--84 (1995)
Poznyak, E. G.; Popov, A. G. Lobachevskij geometry and physics. (English. Russian original) Zbl 0842.35109 Russ. Math. 38, No. 3, 42-47 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 3 (382), 44-49 (1994). Reviewer: S.Kichenassamy (Minneapolis) MSC: 35Q53 53B20 PDFBibTeX XMLCite \textit{E. G. Poznyak} and \textit{A. G. Popov}, Russ. Math. 38, No. 3, 1 (1994; Zbl 0842.35109); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 3 (382), 44--49 (1994)
Poznyak, Eh. G.; Popov, A. G. The geometry of the sine-Gordon equation. (English. Russian original) Zbl 0835.35123 J. Math. Sci., New York 70, No. 2, 1666-1684 (1994); translation from Itogi Nauki Tekh., Ser. Probl. Geom. 23, 99-130 (1991). MSC: 35Q53 53C45 PDFBibTeX XMLCite \textit{Eh. G. Poznyak} and \textit{A. G. Popov}, J. Math. Sci., New York 70, No. 2, 1666--1684 (1994; Zbl 0835.35123); translation from Itogi Nauki Tekh., Ser. Probl. Geom. 23, 99--130 (1991) Full Text: DOI
Popov, A. G. On transformation of local solutions of equations connected with the geometry of surfaces. (English. Russian original) Zbl 0835.35129 Russ. Math. 37, No. 9, 33-43 (1993); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 9, 35-44 (1993). MSC: 35Q53 53C45 58J72 PDFBibTeX XMLCite \textit{A. G. Popov}, Russ. Math. 37, No. 9, 33--43 (1993; Zbl 0835.35129); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 9, 35--44 (1993)
Popov, A. G. Exact formulas for constructing solutions of the Liouville equation \(\Delta_ 2u=e^ u\) from solutions of the Laplace equation \(\Delta_ 2v=0\). (English. Russian original) Zbl 0824.35005 Russ. Acad. Sci., Dokl., Math. 48, No. 3, 570-572 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 4, 440-441 (1993). MSC: 35A30 35J05 35J60 PDFBibTeX XMLCite \textit{A. G. Popov}, Russ. Acad. Sci., Dokl., Math. 48, No. 3, 1 (1993; Zbl 0824.35005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 4, 440--441 (1993)
Poznyak, Eh. G.; Popov, A. G. Lobachevsky geometry and the equations of mathematical physics. (English. Russian original) Zbl 0817.35098 Russ. Acad. Sci., Dokl., Math. 48, No. 2, 338-342 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 332, No. 4, 418-421 (1993). MSC: 35Q53 53A35 PDFBibTeX XMLCite \textit{Eh. G. Poznyak} and \textit{A. G. Popov}, Russ. Acad. Sci., Dokl., Math. 48, No. 2, 338--342 (1993; Zbl 0817.35098); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 332, No. 4, 418--421 (1993)
Popov, A. G. Phase spaces of nonzero curvature and the evolution of physical systems. (English. Russian original) Zbl 0878.58052 Mosc. Univ. Phys. Bull. 48, No. 6, 5-10 (1993); translation from Vestn. Mosk. Univ., Ser. III 34, No. 6, 7-13 (1993). MSC: 37N99 37K35 35Q53 PDFBibTeX XMLCite \textit{A. G. Popov}, Mosc. Univ. Phys. Bull. 48, No. 6, 5--10 (1993; Zbl 0878.58052); translation from Vestn. Mosk. Univ., Ser. III 34, No. 6, 7--13 (1993)
Poznyak, Eh. G.; Popov, A. G. The sine-Gordon equation: geometry and physics. (Uravnenie sinus-Gordona: geometriya i fizika.) (Russian) Zbl 0790.53002 Novoe v Zhizni, Nauke, Tekhnike. Seriya Matematika, Kibernetika. 91-6. Moskva: Znanie. 45 p. (1991). MSC: 53A05 35L70 53-01 35-01 35Q53 37J35 37K10 PDFBibTeX XMLCite \textit{Eh. G. Poznyak} and \textit{A. G. Popov}, Uravnenie sinus-Gordona: geometriya i fizika (Russian). Moskva: Znanie (1991; Zbl 0790.53002)
Poznyak, Eh. G.; Popov, A. G. Geometry of the sine-Gordon equation. (Russian) Zbl 0741.35072 Itogi Nauki Tekh., Ser. Probl. Geom. 23, 99-130 (1991). Reviewer: A.Haimovici (Iaşi) MSC: 35Q53 53C45 PDFBibTeX XMLCite \textit{Eh. G. Poznyak} and \textit{A. G. Popov}, Itogi Nauki Tekh., Ser. Probl. Geom. 23, 99--130 (1991; Zbl 0741.35072)
Popov, A. G. Complete geometric interpretation for one-soliton solution of arbitrary amplitude of the sine-Gordon equation. (English. Russian original) Zbl 0724.35094 Mosc. Univ. Math. Bull. 45, No. 5, 4-8 (1990); translation from Vestn. Mosk. Univ., Ser. I 1990, No. 5, 3-8 (1990). Reviewer: I.Vrabie (Iaşi) MSC: 35Q51 35Q53 PDFBibTeX XMLCite \textit{A. G. Popov}, Mosc. Univ. Math. Bull. 45, No. 5, 4--8 (1990; Zbl 0724.35094); translation from Vestn. Mosk. Univ., Ser. I 1990, No. 5, 3--8 (1990)
Popov, A. G. Analog of phase space for the sine-Gordon equation. (English. Russian original) Zbl 0709.53530 Mosc. Univ. Phys. Bull. 44, No. 4, 20-23 (1989); translation from Vestn. Mosk. Univ., Ser. III 30, No. 4, 19-22 (1989). MSC: 53-XX PDFBibTeX XMLCite \textit{A. G. Popov}, Mosc. Univ. Phys. Bull. 44, No. 4, 20--23 (1989; Zbl 0709.53530); translation from Vestn. Mosk. Univ., Ser. III 30, No. 4, 19--22 (1989)
Danko, P. E.; Popov, A. G.; Kozhevnikova, T. Ya. Higher mathematics in exercises and problems. Textbook. In two parts. Part 2 (Vysshaya matematika v uprazhneniyakh i zadachakh. Uchebnoe posobie. V dvukh chastyakh. Chast’ 2). 4th ed., rev. and compl. (Russian) Zbl 0649.00004 Moskva: Vysshaya Shkola. 416 p. R. 1.20 (1986). Reviewer: J.Appell MSC: 00A07 26-01 34-01 40-01 47-01 60-01 30-01 35-01 42-01 49-01 65-01 PDFBibTeX XML
Popov, A. G. The construction of self-modeling solutions of the fundamental equations of the theory of surfaces of constant negative curvature. (English) Zbl 0624.53002 Mosc. Univ. Math. Bull. 41, No. 5, 69-71 (1986). MSC: 53A05 53C42 PDFBibTeX XMLCite \textit{A. G. Popov}, Mosc. Univ. Math. Bull. 41, No. 5, 69--71 (1986; Zbl 0624.53002)
Burkov, V. N.; Gorgidze, I. A.; Kveselava, A. D.; Popov, A. G.; Sichinava, B. B. Additive approximation of matrix convolution with minimal error. (Russian. English summary) Zbl 0622.65031 Soobshch. Akad. Nauk Gruz. SSR 124, 149-152 (1986). Reviewer: F.Szidarovszky MSC: 65F30 90C08 PDFBibTeX XMLCite \textit{V. N. Burkov} et al., Soobshch. Akad. Nauk Gruz. SSR 124, 149--152 (1986; Zbl 0622.65031)
Popov, A. G. The construction of some automodel solutions of the fundamental equations of the theory of surfaces of constant negative curvature. (Russian) Zbl 0616.53005 Vestn. Mosk. Univ., Ser. I 1986, No. 5, 74-76 (1986). Reviewer: V.Oliker MSC: 53A05 53C42 PDFBibTeX XMLCite \textit{A. G. Popov}, Vestn. Mosk. Univ., Ser. I 1986, No. 5, 74--76 (1986; Zbl 0616.53005)
Danko, P. E.; Popov, A. G.; Kozhevnikova, T. Ya. Higher mathematics in exercises and problems. Part 1, 2. (Matematicas superiores en ejercicios y problemas. Parte 1, 2). Transl. from the Russian by A. I. Samojvalov. (Spanish) Zbl 0516.00006 Moscu: Editorial ”Mir”. 363 p., 455 p. (1983). MSC: 00A07 51-01 26-01 34-01 PDFBibTeX XML
Danko, P.; Popov, A. Exercices et problèmes de mathématiques supérieures. Partie I et II. Traduit du russe par B. Pavlov. (French) Zbl 0373.00003 Moscow: Editions Mir. Partie I: 396 p. R. 2.52; Partie II: 442 p. R. 2.91 (1977). MSC: 00A05 PDFBibTeX XML
Popov, A.; Rangelov, R. Untersuchung flacher Schalen von doppelter Krümmung über rechteckigem Grund bei Anfangsdeformationen unter Berücksichtigung des Kriechens. (Bulgarian) Zbl 0329.73058 Teor. Prilozhna Mekh., Sofia 1971, No. 2, 39-54 (1971). MSC: 74K15 74C99 PDFBibTeX XMLCite \textit{A. Popov} and \textit{R. Rangelov}, Teor. Prilozhna Mekh. 1971, No. 2, 39--54 (1971; Zbl 0329.73058)
Danko, P. E.; Popov, A. G. Höhere Mathematik in Übungen und Aufgaben. Teil I, II. (Russian) Zbl 0161.24304 Moskau: Verlag ’Vysshaya Shkola’. I: 300 S.; II: 349 S. (1967). PDFBibTeX XML