Fillion-Gourdeau, François; Lorin, Emmanuel; Maclean, Steve Inverse design of strained graphene surfaces for electron control. (English) Zbl 07738852 Commun. Comput. Phys. 34, No. 1, 235-260 (2023). MSC: 35Q41 81Q05 81Q20 78A05 PDF BibTeX XML Cite \textit{F. Fillion-Gourdeau} et al., Commun. Comput. Phys. 34, No. 1, 235--260 (2023; Zbl 07738852) Full Text: DOI arXiv
Fedotov, A. A. Close turning points and the Harper operator. (English. Russian original) Zbl 07710629 Math. Notes 113, No. 5, 741-746 (2023); translation from Mat. Zametki 113, No. 5, 785-790 (2023). MSC: 39A70 39A12 34E20 34M60 PDF BibTeX XML Cite \textit{A. A. Fedotov}, Math. Notes 113, No. 5, 741--746 (2023; Zbl 07710629); translation from Mat. Zametki 113, No. 5, 785--790 (2023) Full Text: DOI
Fujiié, Setsuro; Hatzizisis, Nicholas; Kamvissis, Spyridon Semiclassical WKB problem for the non-self-adjoint Dirac operator with an analytic rapidly oscillating potential. (English) Zbl 1512.35533 J. Differ. Equations 360, 90-150 (2023). MSC: 35Q55 35Q41 35Q40 81Q20 81Q10 35B40 35P25 37K15 37K10 33C10 PDF BibTeX XML Cite \textit{S. Fujiié} et al., J. Differ. Equations 360, 90--150 (2023; Zbl 1512.35533) Full Text: DOI arXiv
Vashishth, Anil Kumar; Bareja, Umang Gradation and porosity’s effect on Love waves in a composite structure of piezoelectric layers and functionally graded porous piezoelectric material. (English) Zbl 1517.74055 Eur. J. Mech., A, Solids 99, Article ID 104908, 18 p. (2023). MSC: 74J15 74F15 74F10 74E30 74E05 PDF BibTeX XML Cite \textit{A. K. Vashishth} and \textit{U. Bareja}, Eur. J. Mech., A, Solids 99, Article ID 104908, 18 p. (2023; Zbl 1517.74055) Full Text: DOI
Voros, André Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited. (English) Zbl 07660818 J. Phys. A, Math. Theor. 56, No. 6, Article ID 064001, 13 p. (2023). MSC: 81Q20 11R59 34C15 47A10 PDF BibTeX XML Cite \textit{A. Voros}, J. Phys. A, Math. Theor. 56, No. 6, Article ID 064001, 13 p. (2023; Zbl 07660818) Full Text: DOI arXiv
Chen, Wenhui; Ikehata, Ryo Decay properties and asymptotic behaviors for a wave equation with general strong damping. (English) Zbl 1509.35151 J. Math. Anal. Appl. 519, No. 1, Article ID 126765, 25 p. (2023). Reviewer: Michael Reissig (Freiberg) MSC: 35L15 35B40 PDF BibTeX XML Cite \textit{W. Chen} and \textit{R. Ikehata}, J. Math. Anal. Appl. 519, No. 1, Article ID 126765, 25 p. (2023; Zbl 1509.35151) Full Text: DOI arXiv
Ma, Yongbin; Deng, Zichen High frequency homogenization for a one-dimensional acoustic black hole lattice. (English) Zbl 07655123 Wave Motion 115, Article ID 103067, 23 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{Y. Ma} and \textit{Z. Deng}, Wave Motion 115, Article ID 103067, 23 p. (2022; Zbl 07655123) Full Text: DOI
Hummel, Q.; Schlagheck, P. Symmetry-induced many-body quantum interference in chaotic bosonic systems: an augmented truncated Wigner method. (English) Zbl 07648116 J. Phys. A, Math. Theor. 55, No. 38, Article ID 384009, 55 p. (2022). MSC: 81S30 81Q50 81Q20 81V70 PDF BibTeX XML Cite \textit{Q. Hummel} and \textit{P. Schlagheck}, J. Phys. A, Math. Theor. 55, No. 38, Article ID 384009, 55 p. (2022; Zbl 07648116) Full Text: DOI arXiv
Vybornyi, E. V.; Rumyantseva, S. V. Semiclassical asymptotics of oscillating tunneling for a quadratic Hamiltonian on the algebra \(\operatorname{su}(1,1)\). (English. Russian original) Zbl 1517.81056 Math. Notes 112, No. 5, 642-655 (2022); translation from Mat. Zametki 112, No. 5, 665-681 (2022). MSC: 81Q20 81U26 37D30 17B45 81R30 32A19 14D21 35P15 PDF BibTeX XML Cite \textit{E. V. Vybornyi} and \textit{S. V. Rumyantseva}, Math. Notes 112, No. 5, 642--655 (2022; Zbl 1517.81056); translation from Mat. Zametki 112, No. 5, 665--681 (2022) Full Text: DOI
Ma, Yongbin; Deng, Zichen A semi-analytical method for the dispersion analysis of orthotropic composite plates with periodically attached acoustic black hole resonators. (English) Zbl 1505.74065 Appl. Math. Modelling 110, 562-582 (2022). MSC: 74H10 74E30 74K20 PDF BibTeX XML Cite \textit{Y. Ma} and \textit{Z. Deng}, Appl. Math. Modelling 110, 562--582 (2022; Zbl 1505.74065) Full Text: DOI
Buckingham, Robert J.; Miller, Peter D. Large-degree asymptotics of rational Painlevé-IV solutions by the isomonodromy method. (English) Zbl 1514.34149 Constr. Approx. 56, No. 2, 233-443 (2022). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 34M50 33E17 34M56 34M60 PDF BibTeX XML Cite \textit{R. J. Buckingham} and \textit{P. D. Miller}, Constr. Approx. 56, No. 2, 233--443 (2022; Zbl 1514.34149) Full Text: DOI arXiv
Koda, Ryonosuke; Shudo, Akira Complexified stable and unstable manifolds and chaotic tunneling. (English) Zbl 1505.81075 J. Phys. A, Math. Theor. 55, No. 17, Article ID 174004, 38 p. (2022). MSC: 81U26 81Q20 81Q50 PDF BibTeX XML Cite \textit{R. Koda} and \textit{A. Shudo}, J. Phys. A, Math. Theor. 55, No. 17, Article ID 174004, 38 p. (2022; Zbl 1505.81075) Full Text: DOI
Barrera-Figueroa, Víctor; Rabinovich, Vladimir S.; Loredo-Ramírez, Samantha Ana Cristina Asymptotic and numerical analysis of slowly varying two-dimensional quantum waveguides. (English) Zbl 1505.81038 J. Phys. A, Math. Theor. 55, No. 9, Article ID 095202, 27 p. (2022). MSC: 81Q05 78A50 81V80 81Q37 PDF BibTeX XML Cite \textit{V. Barrera-Figueroa} et al., J. Phys. A, Math. Theor. 55, No. 9, Article ID 095202, 27 p. (2022; Zbl 1505.81038) Full Text: DOI
Coman, Ciprian D. Self-weight buckling of thin elastic shells: the case of a spherical equatorial segment. (English) Zbl 1503.74035 Z. Angew. Math. Phys. 73, No. 6, Paper No. 228, 24 p. (2022). MSC: 74G60 74K25 74G10 PDF BibTeX XML Cite \textit{C. D. Coman}, Z. Angew. Math. Phys. 73, No. 6, Paper No. 228, 24 p. (2022; Zbl 1503.74035) Full Text: DOI
Petrov, Pavel S.; Kazak, Mikhail S.; Petrova, Tatyana N. A generalization of WKBJ method for solving a system describing propagation of coupled modes in underwater acoustics. (English) Zbl 07600403 Phys. Lett., A 450, Article ID 128383, 5 p. (2022). MSC: 76Q05 81Q20 86A05 PDF BibTeX XML Cite \textit{P. S. Petrov} et al., Phys. Lett., A 450, Article ID 128383, 5 p. (2022; Zbl 07600403) Full Text: DOI
Secchi, Paolo; Yuan, Yuan Weakly nonlinear surface waves on the plasma-vacuum interface. (English. French summary) Zbl 1493.76122 J. Math. Pures Appl. (9) 163, 132-203 (2022). MSC: 76W05 76E25 35Q35 35Q60 78A40 PDF BibTeX XML Cite \textit{P. Secchi} and \textit{Y. Yuan}, J. Math. Pures Appl. (9) 163, 132--203 (2022; Zbl 1493.76122) Full Text: DOI arXiv
Cai, Jiaxiang; Liang, Hua Compact exponential conservative approaches for the Schrödinger equation in the semiclassical regimes. (English) Zbl 07537257 SIAM J. Sci. Comput. 44, No. 3, B585-B604 (2022). MSC: 65Mxx 65Pxx 81Q05 81Q20 PDF BibTeX XML Cite \textit{J. Cai} and \textit{H. Liang}, SIAM J. Sci. Comput. 44, No. 3, B585--B604 (2022; Zbl 07537257) Full Text: DOI
Aslan, Halit Sevki; Reissig, Michael \(L^p-L^q\) estimates for wave equations with strong time-dependent oscillations. (English) Zbl 1487.35132 Hokkaido Math. J. 51, No. 1, 57-106 (2022). MSC: 35B45 35B05 35L05 35L15 PDF BibTeX XML Cite \textit{H. S. Aslan} and \textit{M. Reissig}, Hokkaido Math. J. 51, No. 1, 57--106 (2022; Zbl 1487.35132) Full Text: DOI
Zonca, Lou; Holcman, David Exit versus escape for stochastic dynamical systems and application to the computation of the bursting time duration in neuronal networks. (English) Zbl 1496.37082 J. Nonlinear Sci. 32, No. 3, Paper No. 33, 28 p. (2022). MSC: 37L55 37L30 60G40 92B25 92B20 41A60 PDF BibTeX XML Cite \textit{L. Zonca} and \textit{D. Holcman}, J. Nonlinear Sci. 32, No. 3, Paper No. 33, 28 p. (2022; Zbl 1496.37082) Full Text: DOI arXiv
Fedotov, A. A. Complex WKB method for a system of two linear difference equations. (English. Russian original) Zbl 1493.39022 St. Petersbg. Math. J. 33, No. 2, 405-425 (2022); translation from Algebra Anal. 33, No. 2, 298-326 (2021). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 39A45 39A10 39A12 39A06 34M30 34M60 PDF BibTeX XML Cite \textit{A. A. Fedotov}, St. Petersbg. Math. J. 33, No. 2, 405--425 (2022; Zbl 1493.39022); translation from Algebra Anal. 33, No. 2, 298--326 (2021) Full Text: DOI
Engel, Maximilian; Kuehn, Christian; Petrera, Matteo; Suris, Yuri Discretized fast-slow systems with canards in two dimensions. (English) Zbl 1484.39016 J. Nonlinear Sci. 32, No. 2, Paper No. 19, 41 p. (2022). Reviewer: Jörg Härterich (Bochum) MSC: 39A28 39A12 34E15 34E20 37M15 37M20 37M21 37G10 65L06 PDF BibTeX XML Cite \textit{M. Engel} et al., J. Nonlinear Sci. 32, No. 2, Paper No. 19, 41 p. (2022; Zbl 1484.39016) Full Text: DOI arXiv
Shao, Ruijie; Zhang, Ping On the instability of the possible blow-up solutions to 2D Boussinesq system. (English) Zbl 1477.35136 J. Differ. Equations 306, 547-568 (2022). MSC: 35Q30 35B30 35B44 76D03 PDF BibTeX XML Cite \textit{R. Shao} and \textit{P. Zhang}, J. Differ. Equations 306, 547--568 (2022; Zbl 1477.35136) Full Text: DOI
Komijani, Javad First-order nonlinear eigenvalue problems involving functions of a general oscillatory behavior. (English) Zbl 07654990 J. Phys. A, Math. Theor. 54, No. 46, Article ID 465202, 18 p. (2021). MSC: 65H17 65L15 34L20 PDF BibTeX XML Cite \textit{J. Komijani}, J. Phys. A, Math. Theor. 54, No. 46, Article ID 465202, 18 p. (2021; Zbl 07654990) Full Text: DOI arXiv
Eliseev, A. G. The regularized asymptotics of a solution of the Cauchy problem in the presence of a weak turning point of the limit operator. (English. Russian original) Zbl 1493.34164 Sb. Math. 212, No. 10, 1415-1435 (2021); translation from Mat. Sb. 212, No. 10, 76-95 (2021). Reviewer: Robert Vrabel (Trnava) MSC: 34E20 34A12 34E05 PDF BibTeX XML Cite \textit{A. G. Eliseev}, Sb. Math. 212, No. 10, 1415--1435 (2021; Zbl 1493.34164); translation from Mat. Sb. 212, No. 10, 76--95 (2021) Full Text: DOI
Tursunov, D. A.; Sulaimanov, Z. M.; Khalmatov, A. A. Singularly perturbed ordinary differential equation with turning point and interior layer. (English) Zbl 1490.34064 Lobachevskii J. Math. 42, No. 12, 3016-3021 (2021). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34E20 34B05 34E05 PDF BibTeX XML Cite \textit{D. A. Tursunov} et al., Lobachevskii J. Math. 42, No. 12, 3016--3021 (2021; Zbl 1490.34064) Full Text: DOI
Hirose, Sampei; Kawai, Takahiro; Sasaki, Shinji; Takei, Yoshitsugu On the Stokes geometry of perturbed tangential Pearcey systems. (English) Zbl 1495.34123 Publ. Res. Inst. Math. Sci. 57, No. 3-4, 727-754 (2021). Reviewer: Shun Shimomura (Yokohama) MSC: 34M60 34E20 33C70 34M40 PDF BibTeX XML Cite \textit{S. Hirose} et al., Publ. Res. Inst. Math. Sci. 57, No. 3--4, 727--754 (2021; Zbl 1495.34123) Full Text: DOI
Mahdavian Yekta, Davood; Karimabadi, Majid; Alavi, S. A. Quasinormal modes for non-minimally coupled scalar fields in regular black hole spacetimes: grey-body factors, area spectrum and shadow radius. (English) Zbl 1482.83090 Ann. Phys. 434, Article ID 168603, 26 p. (2021). MSC: 83C57 83C45 83C25 78A45 83D05 78A60 PDF BibTeX XML Cite \textit{D. Mahdavian Yekta} et al., Ann. Phys. 434, Article ID 168603, 26 p. (2021; Zbl 1482.83090) Full Text: DOI arXiv
Mikhasev, G. I. A study of free high-frequency vibrations of an inhomogeneous nanorod, based on the nonlocal theory of elasticity. (English. Russian original) Zbl 1471.74024 Vestn. St. Petersbg. Univ., Math. 54, No. 2, 125-134 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 2, 220-232 (2021). MSC: 74H45 74K10 74M25 74H10 74B99 PDF BibTeX XML Cite \textit{G. I. Mikhasev}, Vestn. St. Petersbg. Univ., Math. 54, No. 2, 125--134 (2021; Zbl 1471.74024); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 2, 220--232 (2021) Full Text: DOI
Maslov, V. P. Using methods of classical and quantum physics in bioenergy. (English. Russian original) Zbl 1467.81049 Theor. Math. Phys. 206, No. 3, 391-395 (2021); translation from Teor. Mat. Fiz. 206, No. 3, 448-452 (2021). MSC: 81Q20 70H20 86A08 PDF BibTeX XML Cite \textit{V. P. Maslov}, Theor. Math. Phys. 206, No. 3, 391--395 (2021; Zbl 1467.81049); translation from Teor. Mat. Fiz. 206, No. 3, 448--452 (2021) Full Text: DOI
Bena, Iosif; Eperon, Felicity; Heidmann, Pierre; Warner, Nicholas P. The great escape: tunneling out of microstate geometries. (English) Zbl 1462.83025 J. High Energy Phys. 2021, No. 4, Paper No. 112, 63 p. (2021). MSC: 83C57 83C47 85A15 81Q20 PDF BibTeX XML Cite \textit{I. Bena} et al., J. High Energy Phys. 2021, No. 4, Paper No. 112, 63 p. (2021; Zbl 1462.83025) Full Text: DOI arXiv
Balkanova, Olga; Frolenkov, Dmitry Moments of \(L\)-functions and the Liouville-Green method. (English) Zbl 1486.11071 J. Eur. Math. Soc. (JEMS) 23, No. 4, 1333-1380 (2021). MSC: 11F67 11F11 34E20 PDF BibTeX XML Cite \textit{O. Balkanova} and \textit{D. Frolenkov}, J. Eur. Math. Soc. (JEMS) 23, No. 4, 1333--1380 (2021; Zbl 1486.11071) Full Text: DOI arXiv
Watanabe, Takuya; Zerzeri, Maher Landau-Zener formula in a “non-adiabatic” regime for avoided crossings. (English) Zbl 1465.81020 Anal. Math. Phys. 11, No. 2, Paper No. 82, 47 p. (2021). MSC: 81Q05 34E20 34M60 81Q20 41A60 PDF BibTeX XML Cite \textit{T. Watanabe} and \textit{M. Zerzeri}, Anal. Math. Phys. 11, No. 2, Paper No. 82, 47 p. (2021; Zbl 1465.81020) Full Text: DOI arXiv
Eremin, Yu. A.; Sveshnikov, A. G. Semi-classical models of quantum nanoplasmonics based on the discrete source method (review). (English. Russian original) Zbl 1466.78010 Comput. Math. Math. Phys. 61, No. 4, 564-590 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 4, 580-607 (2021). MSC: 78A40 78A48 78A35 81Q20 PDF BibTeX XML Cite \textit{Yu. A. Eremin} and \textit{A. G. Sveshnikov}, Comput. Math. Math. Phys. 61, No. 4, 564--590 (2021; Zbl 1466.78010); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 4, 580--607 (2021) Full Text: DOI
Fedotov, Alexander; Klopp, Frédéric WKB asymptotics of meromorphic solutions to difference equations. (English) Zbl 1476.39023 Appl. Anal. 100, No. 7, 1557-1573 (2021). MSC: 39A45 39A12 34M60 81Q20 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Klopp}, Appl. Anal. 100, No. 7, 1557--1573 (2021; Zbl 1476.39023) Full Text: DOI arXiv
Guo, Lihong; Chen, YangQuan; Shi, Shaoyun; West, Bruce J. Renormalization group and fractional calculus methods in a complex world: a review. (English) Zbl 1488.81034 Fract. Calc. Appl. Anal. 24, No. 1, 5-53 (2021). MSC: 81T17 26A33 82B28 34A08 35R11 60G22 35B25 34K26 34E20 PDF BibTeX XML Cite \textit{L. Guo} et al., Fract. Calc. Appl. Anal. 24, No. 1, 5--53 (2021; Zbl 1488.81034) Full Text: DOI
Vieira, S. L. R.; Bakke, K. Semiclassical analysis of the interaction of the magnetic quadrupole moment of a neutral particle with axial electric fields in a uniformly rotating frame. (English) Zbl 1508.81838 Found. Phys. 50, No. 7, 735-748 (2020). Reviewer: Vasil G. Angelov (Sofia) MSC: 81Q20 35Q55 81V60 81P55 78A25 PDF BibTeX XML Cite \textit{S. L. R. Vieira} and \textit{K. Bakke}, Found. Phys. 50, No. 7, 735--748 (2020; Zbl 1508.81838) Full Text: DOI
Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed; Liu, Liu Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs. (English) Zbl 1471.65137 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1849-1882 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 65M60 35L03 35Q40 35Q49 60H35 65D32 65L06 65M12 65M75 65M70 81Q20 PDF BibTeX XML Cite \textit{N. Crouseilles} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1849--1882 (2020; Zbl 1471.65137) Full Text: DOI arXiv
del Valle, J. C.; Turbiner, A. V. Radial anharmonic oscillator: perturbation theory, new semiclassical expansion, approximating eigenfunctions. II: Quartic and sextic anharmonicity cases. (English) Zbl 1461.81028 Int. J. Mod. Phys. A 35, No. 1, Article ID 2050005, 44 p. (2020). MSC: 81Q05 81Q20 PDF BibTeX XML Cite \textit{J. C. del Valle} and \textit{A. V. Turbiner}, Int. J. Mod. Phys. A 35, No. 1, Article ID 2050005, 44 p. (2020; Zbl 1461.81028) Full Text: DOI arXiv
Musoke, Elle; Krauskopf, Bernd; Osinga, Hinke M. A surface of heteroclinic connections between two saddle slow manifolds in the Olsen model. (English) Zbl 1461.34072 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2030048, 33 p. (2020). MSC: 34C60 34C45 92C45 34E20 34C05 34C37 37M21 PDF BibTeX XML Cite \textit{E. Musoke} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2030048, 33 p. (2020; Zbl 1461.34072) Full Text: DOI
Muslu, Gulcin M.; Lin, Chi-Kun WKB analysis for the three coupled long wave-short wave interaction equations. (English) Zbl 1456.81191 Appl. Anal. 99, No. 9, 1507-1527 (2020). MSC: 81Q20 35A01 35G25 35Q35 35L72 37L50 46E35 65M70 PDF BibTeX XML Cite \textit{G. M. Muslu} and \textit{C.-K. Lin}, Appl. Anal. 99, No. 9, 1507--1527 (2020; Zbl 1456.81191) Full Text: DOI
Hollands, Lotte; Neitzke, Andrew Exact WKB and abelianization for the \(T_3\) equation. (English) Zbl 1455.81025 Commun. Math. Phys. 380, No. 1, 131-186 (2020). Reviewer: Alex B. Gaina (Chisinau) MSC: 81Q20 81Q10 14D21 14D05 81Q05 34B30 PDF BibTeX XML Cite \textit{L. Hollands} and \textit{A. Neitzke}, Commun. Math. Phys. 380, No. 1, 131--186 (2020; Zbl 1455.81025) Full Text: DOI arXiv
Tsvetkova, A. V.; Shafarevich, A. I. Localized asymptotic solution of a variable-velocity wave equation on the simplest decorated graph with initial conditions on a surface. (English. Russian original) Zbl 1451.35243 Math. Notes 108, No. 4, 590-602 (2020); translation from Mat. Zametki 108, No. 4, 601-616 (2020). MSC: 35R02 35L15 35L05 PDF BibTeX XML Cite \textit{A. V. Tsvetkova} and \textit{A. I. Shafarevich}, Math. Notes 108, No. 4, 590--602 (2020; Zbl 1451.35243); translation from Mat. Zametki 108, No. 4, 601--616 (2020) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media. (English. Russian original) Zbl 1450.35119 Comput. Math. Math. Phys. 60, No. 8, 1348-1360 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1394-1407 (2020). MSC: 35G10 35Q35 35Q41 35Q61 81Q20 PDF BibTeX XML Cite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Comput. Math. Math. Phys. 60, No. 8, 1348--1360 (2020; Zbl 1450.35119); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1394--1407 (2020) Full Text: DOI
Eliseev, Alexander Georgievich Regularized solution of a singularly perturbed Cauchy problem in the presence of irrational simple turning point. (Russian. English summary) Zbl 1505.34088 Differ. Uravn. Protsessy Upr. 2020, No. 2, 15-32 (2020). MSC: 34E20 34E05 PDF BibTeX XML Cite \textit{A. G. Eliseev}, Differ. Uravn. Protsessy Upr. 2020, No. 2, 15--32 (2020; Zbl 1505.34088) Full Text: Link
Eliseev, Aleksandr Georgievich; Kirichenko, Pavel Vladimirovich Regularized asymptotics of solution a singularly perturbed Cauchy problem in the presence of the “weak” turning point at the limit operator. (Russian. English summary) Zbl 1450.34040 Differ. Uravn. Protsessy Upr. 2020, No. 1, 55-67 (2020). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34A30 34A12 34E05 34E20 PDF BibTeX XML Cite \textit{A. G. Eliseev} and \textit{P. V. Kirichenko}, Differ. Uravn. Protsessy Upr. 2020, No. 1, 55--67 (2020; Zbl 1450.34040) Full Text: Link
Migaeva, A. S.; Pereskokov, A. V. Asymptotics of the spectrum of the hydrogen atom in orthogonal electric and magnetic fields near the lower boundaries of spectral clusters. (English. Russian original) Zbl 07215589 Math. Notes 107, No. 5, 804-819 (2020); translation from Mat. Zametki 107, No. 5, 734-751 (2020). MSC: 47Nxx 33Cxx 81Vxx 81Rxx PDF BibTeX XML Cite \textit{A. S. Migaeva} and \textit{A. V. Pereskokov}, Math. Notes 107, No. 5, 804--819 (2020; Zbl 07215589); translation from Mat. Zametki 107, No. 5, 734--751 (2020) Full Text: DOI
Calvo, M. P.; Sanz-Serna, J. M.; Zhu, Beibei High-order stroboscopic averaging methods for highly oscillatory delay problems. (English) Zbl 1445.65023 Appl. Numer. Math. 152, 466-479 (2020). Reviewer: Zhanyuan Hou (London) MSC: 65L05 65P10 34E13 34E20 34C10 34C29 34C15 PDF BibTeX XML Cite \textit{M. P. Calvo} et al., Appl. Numer. Math. 152, 466--479 (2020; Zbl 1445.65023) Full Text: DOI arXiv
Stepin, S. A.; Fufaev, V. V. WKB asymptotics and spectral deformation in semi-classical limit. (English) Zbl 1439.34063 J. Dyn. Control Syst. 26, No. 1, 175-198 (2020). MSC: 34E20 34L20 81Q20 PDF BibTeX XML Cite \textit{S. A. Stepin} and \textit{V. V. Fufaev}, J. Dyn. Control Syst. 26, No. 1, 175--198 (2020; Zbl 1439.34063) Full Text: DOI
Mbayi, Charles K.; Munyakazi, Justin B.; Patidar, Kailash C. A robust fitted numerical method for singularly perturbed turning point problems whose solution exhibits an interior layer. (English) Zbl 1486.65077 Quaest. Math. 43, No. 1, 1-24 (2020). MSC: 65L10 65L11 65L12 65L70 34E20 34E15 PDF BibTeX XML Cite \textit{C. K. Mbayi} et al., Quaest. Math. 43, No. 1, 1--24 (2020; Zbl 1486.65077) Full Text: DOI
Fischbach, Fabian; Klemm, Albrecht; Nega, Christoph WKB method and quantum periods beyond genus one. (English) Zbl 1505.81065 J. Phys. A, Math. Theor. 52, No. 7, Article ID 075402, 37 p. (2019). MSC: 81T30 81Q20 PDF BibTeX XML Cite \textit{F. Fischbach} et al., J. Phys. A, Math. Theor. 52, No. 7, Article ID 075402, 37 p. (2019; Zbl 1505.81065) Full Text: DOI arXiv
Konoplya, R. A.; Zhidenko, A.; Zinhailo, A. F. Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations. (English) Zbl 1503.83008 Classical Quantum Gravity 36, No. 15, Article ID 155002, 26 p. (2019). MSC: 83C57 14D21 81Q20 41A25 PDF BibTeX XML Cite \textit{R. A. Konoplya} et al., Classical Quantum Gravity 36, No. 15, Article ID 155002, 26 p. (2019; Zbl 1503.83008) Full Text: DOI arXiv
del Valle, J. C.; Turbiner, A. V. Radial anharmonic oscillator: perturbation theory, new semiclassical expansion, approximating eigenfunctions. I: Generalities, cubic anharmonicity case. (English) Zbl 1471.81019 Int. J. Mod. Phys. A 34, No. 26, Article ID 1950143, 43 p. (2019). MSC: 81Q05 81Q15 81Q20 35A15 81S40 70J35 41A58 35P15 PDF BibTeX XML Cite \textit{J. C. del Valle} and \textit{A. V. Turbiner}, Int. J. Mod. Phys. A 34, No. 26, Article ID 1950143, 43 p. (2019; Zbl 1471.81019) Full Text: DOI arXiv
Wu, Lei A fast spectral method for the Uehling-Uhlenbeck equation for quantum gas mixtures: homogeneous relaxation and transport coefficients. (English) Zbl 1453.65368 J. Comput. Phys. 399, Article ID 108924, 18 p. (2019). MSC: 65M70 65Z05 81Q20 82M22 82D05 PDF BibTeX XML Cite \textit{L. Wu}, J. Comput. Phys. 399, Article ID 108924, 18 p. (2019; Zbl 1453.65368) Full Text: DOI Link
Lu, Yue; Zhao, Xutong; Liu, Mingji The homotopy perturbation renormalization group method to solve the WKB problem with turn points. (English) Zbl 1449.34206 Commun. Math. Res. 35, No. 4, 377-382 (2019). MSC: 34E20 34A45 PDF BibTeX XML Cite \textit{Y. Lu} et al., Commun. Math. Res. 35, No. 4, 377--382 (2019; Zbl 1449.34206) Full Text: DOI
Tausiff, Mohammad; Ouakad, Hassen M.; Alqahtani, Hussain; Alofi, Abdurahman Local nonlinear dynamics of MEMS arches actuated by fringing-field electrostatic actuation. (English) Zbl 1437.74014 Nonlinear Dyn. 95, No. 4, 2907-2921 (2019). MSC: 74K10 34E13 34E20 PDF BibTeX XML Cite \textit{M. Tausiff} et al., Nonlinear Dyn. 95, No. 4, 2907--2921 (2019; Zbl 1437.74014) Full Text: DOI
Fedotov, Alexander; Klopp, Frédéric The complex WKB method for difference equations and Airy functions. (English) Zbl 1425.39011 SIAM J. Math. Anal. 51, No. 6, 4413-4447 (2019). MSC: 39A45 39A12 33C10 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Klopp}, SIAM J. Math. Anal. 51, No. 6, 4413--4447 (2019; Zbl 1425.39011) Full Text: DOI arXiv
Chartier, Philippe; Le Treust, Loïc; Méhats, Florian Uniformly accurate time-splitting methods for the semiclassical linear Schrödinger equation. (English) Zbl 1431.35166 ESAIM, Math. Model. Numer. Anal. 53, No. 2, 443-473 (2019). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q55 35F21 76A02 76Y05 81Q20 82D50 35Q41 65M15 65M25 65T50 PDF BibTeX XML Cite \textit{P. Chartier} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 2, 443--473 (2019; Zbl 1431.35166) Full Text: DOI arXiv
Bai, Xue-Min; Bai, Xue-Yun; Liu, Ni; Li, Jun-Qi; Liang, J.-Q. Multiple stable states and Dicke phase transition for two atoms in an optical cavity. (English) Zbl 1418.81105 Ann. Phys. 407, 66-77 (2019). MSC: 81V80 81R30 81Q20 PDF BibTeX XML Cite \textit{X.-M. Bai} et al., Ann. Phys. 407, 66--77 (2019; Zbl 1418.81105) Full Text: DOI
Rizwan, Muhammad; Ali, Muhammad Zubair; Övgün, Ali Charged fermions tunneling from stationary axially symmetric black holes with generalized uncertainty principle. (English) Zbl 1418.83029 Mod. Phys. Lett. A 34, No. 23, Article ID 1950184, 15 p. (2019). MSC: 83C57 81Q20 PDF BibTeX XML Cite \textit{M. Rizwan} et al., Mod. Phys. Lett. A 34, No. 23, Article ID 1950184, 15 p. (2019; Zbl 1418.83029) Full Text: DOI arXiv
Assainova, O.; Klein, C.; McLaughlin, K. D. T.-R.; Miller, P. D. A study of the direct spectral transform for the defocusing Davey-Stewartson II equation the semiclassical limit. (English) Zbl 1420.35339 Commun. Pure Appl. Math. 72, No. 7, 1474-1547 (2019). MSC: 35Q55 37K15 35Q41 35C05 65T50 35B40 35B25 PDF BibTeX XML Cite \textit{O. Assainova} et al., Commun. Pure Appl. Math. 72, No. 7, 1474--1547 (2019; Zbl 1420.35339) Full Text: DOI arXiv
Codesido, Santiago; Mariño, Marcos; Schiappa, Ricardo Non-perturbative quantum mechanics from non-perturbative strings. (English) Zbl 1411.83115 Ann. Henri Poincaré 20, No. 2, 543-603 (2019). MSC: 83E30 81S10 81Q20 81T16 PDF BibTeX XML Cite \textit{S. Codesido} et al., Ann. Henri Poincaré 20, No. 2, 543--603 (2019; Zbl 1411.83115) Full Text: DOI arXiv Link
Tursunov, D. A. Asymptotics of the Cauchy problem solution in the case of instability of a stationary point in the plane of “rapid motions”. (Russian. English summary) Zbl 1506.34116 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2018, No. 54, 46-57 (2018). MSC: 34M60 34E10 34A12 PDF BibTeX XML Cite \textit{D. A. Tursunov}, Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2018, No. 54, 46--57 (2018; Zbl 1506.34116) Full Text: DOI MNR
Chai, Lihui; Jin, Shi; Markowich, Peter A. A hybrid method for computing the Schrödinger equations with periodic potential with band-crossings in the momentum space. (English) Zbl 1475.65143 Commun. Comput. Phys. 24, No. 4, 989-1020 (2018). MSC: 65M70 35Q41 81Q20 74Q10 35B27 PDF BibTeX XML Cite \textit{L. Chai} et al., Commun. Comput. Phys. 24, No. 4, 989--1020 (2018; Zbl 1475.65143) Full Text: DOI Link
Gristchak, V. Z.; Gristchak, D. D.; Dyachenko, N. N. An effective approximate analytical solution to the stability problem of a three-layer conical shell under combined loading. (Russian, English) Zbl 1438.74061 Mat. Metody Fiz.-Mekh. Polya 61, No. 3, 63-77 (2018). Reviewer: V. I. Guljaev (Kyïv) MSC: 74G10 74K25 PDF BibTeX XML Cite \textit{V. Z. Gristchak} et al., Mat. Metody Fiz.-Mekh. Polya 61, No. 3, 63--77 (2018; Zbl 1438.74061)
Novokshenov, V. Yu. Movable poles of Painlevé I transcendents and singularities of monodromy data manifolds. (English) Zbl 1427.34118 Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 24-37 (2018). Reviewer: Dmitry Artamonov (Moskva) MSC: 34M55 34M35 34M05 34M60 34M56 PDF BibTeX XML Cite \textit{V. Yu. Novokshenov}, Springer Proc. Math. Stat. 273, 24--37 (2018; Zbl 1427.34118) Full Text: DOI
Chen, Huaxiong; Zuo, Junmei; Ni, Mingkang The contrast structure for the quasi-linear singularly perturbed equations. (Chinese. English summary) Zbl 1424.34205 Math. Appl. 31, No. 3, 668-673 (2018). MSC: 34E05 34E15 34E20 34A36 34B15 PDF BibTeX XML Cite \textit{H. Chen} et al., Math. Appl. 31, No. 3, 668--673 (2018; Zbl 1424.34205)
Skobelev, V. V. On the question of the existence of two-dimensional multi-electron atoms. (English. Russian original) Zbl 1406.81098 Russ. Phys. J. 61, No. 7, 1294-1298 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 61, No. 7, 101-104 (2018). MSC: 81V45 81Q20 PDF BibTeX XML Cite \textit{V. V. Skobelev}, Russ. Phys. J. 61, No. 7, 1294--1298 (2018; Zbl 1406.81098); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 61, No. 7, 101--104 (2018) Full Text: DOI
Qian, Y. H.; Yan, D. M. Fast-slow dynamics analysis of a coupled Duffing system with periodic excitation. (English) Zbl 1404.34043 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 12, Article ID 1850148, 15 p. (2018). MSC: 34C15 70K40 39A12 34E20 34C23 PDF BibTeX XML Cite \textit{Y. H. Qian} and \textit{D. M. Yan}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 12, Article ID 1850148, 15 p. (2018; Zbl 1404.34043) Full Text: DOI
Abdolalian, N.; Sanjaranipour, M. Evaluation of the buckling modes of a rotating neo-Hookean cylinder by WKB method. (English) Zbl 1397.74196 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1383-1393 (2018). MSC: 74S30 74G60 PDF BibTeX XML Cite \textit{N. Abdolalian} and \textit{M. Sanjaranipour}, Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1383--1393 (2018; Zbl 1397.74196) Full Text: DOI
Hu, Jiashun; Ma, Xiang; Zheng, Chunxiong Global geometrical optics method for vector-valued Schrödinger problems. (English) Zbl 1405.35178 Front. Math. China 13, No. 3, 579-606 (2018). MSC: 35Q41 34E20 35S10 20C35 78A05 PDF BibTeX XML Cite \textit{J. Hu} et al., Front. Math. China 13, No. 3, 579--606 (2018; Zbl 1405.35178) Full Text: DOI
Chung, Won Sang; Hassanabadi, Hassan Quantum mechanics on (anti)-de Sitter background. II: Ramsauer-Townsend effect and WKB method. (English) Zbl 1394.81127 Mod. Phys. Lett. A 33, No. 26, Article ID 1850150, 11 p. (2018). MSC: 81Q35 81Q20 PDF BibTeX XML Cite \textit{W. S. Chung} and \textit{H. Hassanabadi}, Mod. Phys. Lett. A 33, No. 26, Article ID 1850150, 11 p. (2018; Zbl 1394.81127) Full Text: DOI
Matkowsky, B. J. Singular perturbations in noisy dynamical systems. (English) Zbl 1394.37083 Eur. J. Appl. Math. 29, No. 4, 570-593 (2018); corrigendum ibid. 29, No. 4, 594 (2018). MSC: 37H10 60J70 PDF BibTeX XML Cite \textit{B. J. Matkowsky}, Eur. J. Appl. Math. 29, No. 4, 570--593 (2018; Zbl 1394.37083) Full Text: DOI
Fujiié, Setsuro; Wittsten, Jens Quantization conditions of eigenvalues for semiclassical Zakharov-Shabat systems on the circle. (English) Zbl 1400.34138 Discrete Contin. Dyn. Syst. 38, No. 8, 3851-3873 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 34L40 81Q20 34L15 34L20 PDF BibTeX XML Cite \textit{S. Fujiié} and \textit{J. Wittsten}, Discrete Contin. Dyn. Syst. 38, No. 8, 3851--3873 (2018; Zbl 1400.34138) Full Text: DOI arXiv
Bolaños, Marduk Classicalization by phase space measurements. (English) Zbl 1392.81168 Eur. J. Phys. 39, No. 3, Article ID 035405, 12 p. (2018). MSC: 81S30 81S22 81P15 81Q20 97M50 PDF BibTeX XML Cite \textit{M. Bolaños}, Eur. J. Phys. 39, No. 3, Article ID 035405, 12 p. (2018; Zbl 1392.81168) Full Text: DOI arXiv
Si, Wen; Si, Jianguo Response solutions and quasi-periodic degenerate bifurcations for quasi-periodically forced systems. (English) Zbl 1401.37067 Nonlinearity 31, No. 6, 2361-2418 (2018). Reviewer: Manuel de León (Madrid) MSC: 37J40 34C27 34E20 70H12 70H08 PDF BibTeX XML Cite \textit{W. Si} and \textit{J. Si}, Nonlinearity 31, No. 6, 2361--2418 (2018; Zbl 1401.37067) Full Text: DOI
Liu, Chein-Shan; Chang, Chih-Wen Solving nonlinear singularly perturbed problems by fractional order exponential trial functions. (English) Zbl 06892583 Appl. Math. Lett. 83, 219-226 (2018). MSC: 34E15 34B15 34E20 74K10 65L10 PDF BibTeX XML Cite \textit{C.-S. Liu} and \textit{C.-W. Chang}, Appl. Math. Lett. 83, 219--226 (2018; Zbl 06892583) Full Text: DOI
Zhang, Chi; Wu, Chen Scalar field coupling to Einstein tensor in regular black hole spacetime. (English) Zbl 1390.83229 Gen. Relativ. Gravitation 50, No. 2, Paper No. 18, 10 p. (2018). MSC: 83C57 83C25 35L05 81Q20 PDF BibTeX XML Cite \textit{C. Zhang} and \textit{C. Wu}, Gen. Relativ. Gravitation 50, No. 2, Paper No. 18, 10 p. (2018; Zbl 1390.83229) Full Text: DOI
Spigler, Renato Asymptotic-numerical approximations for highly oscillatory second-order differential equations by the phase function method. (English) Zbl 1404.65059 J. Math. Anal. Appl. 463, No. 1, 318-344 (2018). MSC: 65L05 65L10 34B05 34A30 34C10 PDF BibTeX XML Cite \textit{R. Spigler}, J. Math. Anal. Appl. 463, No. 1, 318--344 (2018; Zbl 1404.65059) Full Text: DOI
Balkanova, Olga; Frolenkov, Dmitry The mean value of symmetric square \(L\)-functions. (English) Zbl 1445.11039 Algebra Number Theory 12, No. 1, 35-59 (2018). MSC: 11F66 33C05 34E05 34E20 PDF BibTeX XML Cite \textit{O. Balkanova} and \textit{D. Frolenkov}, Algebra Number Theory 12, No. 1, 35--59 (2018; Zbl 1445.11039) Full Text: DOI arXiv
Martynyuk, Anatoliy A.; Stamova, Ivanka M. Fractional-like derivative of Lyapunov-type functions and applications to stability analysis of motion. (English) Zbl 1387.34007 Electron. J. Differ. Equ. 2018, Paper No. 62, 12 p. (2018). MSC: 34A08 34D20 34E20 PDF BibTeX XML Cite \textit{A. A. Martynyuk} and \textit{I. M. Stamova}, Electron. J. Differ. Equ. 2018, Paper No. 62, 12 p. (2018; Zbl 1387.34007) Full Text: Link
Iwaki, K.; Marchal, O.; Saenz, A. Painlevé equations, topological type property and reconstruction by the topological recursion. (English) Zbl 1391.34140 J. Geom. Phys. 124, 16-54 (2018). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 34M56 34M60 PDF BibTeX XML Cite \textit{K. Iwaki} et al., J. Geom. Phys. 124, 16--54 (2018; Zbl 1391.34140) Full Text: DOI arXiv
Skobelev, V. V. On the question of the existence of one-dimensional multielectron atoms. (English. Russian original) Zbl 1384.81147 Russ. Phys. J. 60, No. 9, 1495-1500 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 60, No. 9, 32-36 (2017). MSC: 81V45 81Q20 PDF BibTeX XML Cite \textit{V. V. Skobelev}, Russ. Phys. J. 60, No. 9, 1495--1500 (2018; Zbl 1384.81147); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 60, No. 9, 32--36 (2017) Full Text: DOI
Fedotov, A.; Shchetka, E. Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial. (English. Russian original) Zbl 1385.39001 St. Petersbg. Math. J. 29, No. 2, 363-381 (2018); translation from Algebra Anal. 29, No. 2, 193-219 (2017). MSC: 39A12 34E20 34L40 39A22 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{E. Shchetka}, St. Petersbg. Math. J. 29, No. 2, 363--381 (2018; Zbl 1385.39001); translation from Algebra Anal. 29, No. 2, 193--219 (2017) Full Text: DOI
Arnold, Anton; Negulescu, Claudia Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions. (English) Zbl 1421.65020 Numer. Math. 138, No. 2, 501-536 (2018). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 65L60 65L20 34E20 65L10 65L05 65L70 PDF BibTeX XML Cite \textit{A. Arnold} and \textit{C. Negulescu}, Numer. Math. 138, No. 2, 501--536 (2018; Zbl 1421.65020) Full Text: DOI arXiv
Zhang, Sheng; Wang, Zhaoyu Bilinearization and new soliton solutions of Whitham-Broer-Kaup equations with time-dependent coefficients. (English) Zbl 1412.35295 J. Nonlinear Sci. Appl. 10, No. 5, 2324-2339 (2017). MSC: 35Q51 35Q53 35Q99 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{Z. Wang}, J. Nonlinear Sci. Appl. 10, No. 5, 2324--2339 (2017; Zbl 1412.35295) Full Text: DOI
Ling, Tingting; Liu, Shude; Ding, Bolun Singularly perturbed boundary and interior corner layer problems with two turning points. (Chinese. English summary) Zbl 1399.34166 Commun. Appl. Math. Comput. 31, No. 3, 385-391 (2017). MSC: 34E05 34B05 34E15 34E20 PDF BibTeX XML Cite \textit{T. Ling} et al., Commun. Appl. Math. Comput. 31, No. 3, 385--391 (2017; Zbl 1399.34166) Full Text: DOI
Fedotov, A. A.; Shchetka, E. V. The complex WKB method for difference equations in bounded domains. (English. Russian original) Zbl 1476.39025 J. Math. Sci., New York 224, No. 1, 157-169 (2017); translation from Zap. Nauchn. Semin. POMI 438, 236-256 (2015). MSC: 39A70 34E20 39A12 39B32 PDF BibTeX XML Cite \textit{A. A. Fedotov} and \textit{E. V. Shchetka}, J. Math. Sci., New York 224, No. 1, 157--169 (2017; Zbl 1476.39025); translation from Zap. Nauchn. Semin. POMI 438, 236--256 (2015) Full Text: DOI
Bukzhalev, E. E. The Cauchy problem for singularly perturbed weakly nonlinear second-order differential equations: an iterative method. (English. Russian original) Zbl 1394.65049 Mosc. Univ. Comput. Math. Cybern. 41, No. 3, 113-121 (2017); translation from Vestn. Mosk. Univ., Ser. XV 2017, No. 3, 10-17 (2017). Reviewer: Srinivasan Natesan (Assam) MSC: 65L05 34E05 34E20 34E15 34A45 34B05 PDF BibTeX XML Cite \textit{E. E. Bukzhalev}, Mosc. Univ. Comput. Math. Cybern. 41, No. 3, 113--121 (2017; Zbl 1394.65049); translation from Vestn. Mosk. Univ., Ser. XV 2017, No. 3, 10--17 (2017) Full Text: DOI
Dunne, Gerald V.; Ünsal, Mithat WKB and resurgence in the Mathieu equation. (English) Zbl 1414.81105 Fauvet, Frédéric (ed.) et al., Resurgence, physics and numbers, Pisa, Italy, May 18–22, 2015. Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series 20. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore. 249-298 (2017). Reviewer: Nicolae Lupa (Timisoara) MSC: 81Q10 81Q20 34B30 PDF BibTeX XML Cite \textit{G. V. Dunne} and \textit{M. Ünsal}, CRM Ser. 20, 249--298 (2017; Zbl 1414.81105) Full Text: DOI arXiv
Melezhik, Vladimir S.; Sevastianov, Leonid A. Quantum-semiclassical calculation of transition probabilities in antiproton collisions with helium ions. (English) Zbl 1385.81046 Rykov, Vladimir V. (ed.) et al., Analytical and computational methods in probability theory. First international conference, ACMPT 2017, Moscow, Russia, October 23–27, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-71503-2/pbk; 978-3-319-71504-9/ebook). Lecture Notes in Computer Science 10684, 449-460 (2017). MSC: 81U35 81V35 81Q05 81Q20 39A12 81V45 PDF BibTeX XML Cite \textit{V. S. Melezhik} and \textit{L. A. Sevastianov}, Lect. Notes Comput. Sci. 10684, 449--460 (2017; Zbl 1385.81046) Full Text: DOI
Killingbeck, J. P.; Lakhlifi, A. Accurate numerical JWKB calculations for the quartic oscillator. (English) Zbl 1381.82005 J. Math. Chem. 55, No. 4, 1046-1052 (2017). MSC: 82B10 PDF BibTeX XML Cite \textit{J. P. Killingbeck} and \textit{A. Lakhlifi}, J. Math. Chem. 55, No. 4, 1046--1052 (2017; Zbl 1381.82005) Full Text: DOI
Kong, Linghang; Crosson, Elizabeth The performance of the quantum adiabatic algorithm on spike Hamiltonians. (English) Zbl 1375.81069 Int. J. Quantum Inf. 15, No. 2, Article ID 1750011, 28 p. (2017). MSC: 81P68 81Q05 49S05 68Q12 68U20 81Q20 PDF BibTeX XML Cite \textit{L. Kong} and \textit{E. Crosson}, Int. J. Quantum Inf. 15, No. 2, Article ID 1750011, 28 p. (2017; Zbl 1375.81069) Full Text: DOI arXiv
Pereskokov, A. V. Semiclassical asymptotics of the spectrum near the lower boundary of spectral clusters for a Hartree-type operator. (English. Russian original) Zbl 1371.81116 Math. Notes 101, No. 6, 1009-1022 (2017); translation from Mat. Zametki 101, No. 6, 894-910 (2017). MSC: 81Q10 34L05 35Q55 81Q20 34E20 34B40 PDF BibTeX XML Cite \textit{A. V. Pereskokov}, Math. Notes 101, No. 6, 1009--1022 (2017; Zbl 1371.81116); translation from Mat. Zametki 101, No. 6, 894--910 (2017) Full Text: DOI
Hnatich, M.; Khmara, Viktor M.; Lazur, Volodymyr Yu.; Reity, Oleksandr K. The WKB method for the quantum mechanical two-Coulomb-center problem. (English. Russian original) Zbl 1369.81034 Theor. Math. Phys. 190, No. 3, 345-358 (2017); translation from Teor. Mat. Fiz. 190, No. 3, 403-418 (2017). MSC: 81Q20 81V35 PDF BibTeX XML Cite \textit{M. Hnatich} et al., Theor. Math. Phys. 190, No. 3, 345--358 (2017; Zbl 1369.81034); translation from Teor. Mat. Fiz. 190, No. 3, 403--418 (2017) Full Text: DOI
Buckingham, R. J.; Jenkins, R. M.; Miller, P. D. Semiclassical soliton ensembles for the three-wave resonant interaction equations. (English) Zbl 1377.35222 Commun. Math. Phys. 354, No. 3, 1015-1100 (2017). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q35 37K15 35Q53 35Q55 35Q51 35B34 PDF BibTeX XML Cite \textit{R. J. Buckingham} et al., Commun. Math. Phys. 354, No. 3, 1015--1100 (2017; Zbl 1377.35222) Full Text: DOI arXiv
Fernández, Francisco M. Comment on: “Exact solution of the inverse-square-root potential \(V(r)=-\frac{\alpha}{\sqrt r}\)”. (English) Zbl 1365.81050 Ann. Phys. 379, 83-85 (2017). MSC: 81Q05 81Q20 PDF BibTeX XML Cite \textit{F. M. Fernández}, Ann. Phys. 379, 83--85 (2017; Zbl 1365.81050) Full Text: DOI
Carles, Rémi; Gallo, Clément On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit. II. Analytic regularity. (English) Zbl 1368.65198 Numer. Math. 136, No. 1, 315-342 (2017). Reviewer: Dana Černá (Liberec) MSC: 65M70 35Q55 65M12 65M15 81Q20 PDF BibTeX XML Cite \textit{R. Carles} and \textit{C. Gallo}, Numer. Math. 136, No. 1, 315--342 (2017; Zbl 1368.65198) Full Text: DOI arXiv
Sun, Shanzhong Gutzwiller’s semiclassical trace formula and Maslov-type index theory for symplectic paths. (English) Zbl 1362.81036 J. Fixed Point Theory Appl. 19, No. 1, 299-343 (2017). MSC: 81Q20 81Q50 53D12 37J45 58J40 81S30 81V45 PDF BibTeX XML Cite \textit{S. Sun}, J. Fixed Point Theory Appl. 19, No. 1, 299--343 (2017; Zbl 1362.81036) Full Text: DOI arXiv
Moteki, Takahiro; Takei, Yoshitsugu Stokes geometry of higher order linear ordinary differential equations and middle convolution. (English) Zbl 1365.34149 Adv. Math. 310, 327-376 (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M60 34M03 34M40 34M30 PDF BibTeX XML Cite \textit{T. Moteki} and \textit{Y. Takei}, Adv. Math. 310, 327--376 (2017; Zbl 1365.34149) Full Text: DOI
Mortell, Michael P.; Seymour, Brian R. Nonlinear waves in bounded media. The mathematics of resonance. (English) Zbl 1373.76002 Hackensack, NJ: World Scientific (ISBN 978-981-3100-33-6/hbk; 978-981-3100-35-0). xiv, 405 p. (2017). Reviewer: Fiazud Din Zaman (Dhahran) MSC: 76-02 74-02 76B15 76B70 74J30 76Q05 00A79 PDF BibTeX XML Cite \textit{M. P. Mortell} and \textit{B. R. Seymour}, Nonlinear waves in bounded media. The mathematics of resonance. Hackensack, NJ: World Scientific (2017; Zbl 1373.76002) Full Text: DOI