Musoke, Elle; Krauskopf, Bernd; Osinga, Hinke M. A surface of heteroclinic connections between two saddle slow manifolds in the Olsen model. (English) Zbl 07306767 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2030048, 33 p. (2020). MSC: 34C45 34C60 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 07306767) Full Text: DOI
Muslu, Gulcin M.; Lin, Chi-Kun WKB analysis for the three coupled long wave-short wave interaction equations. (English) Zbl 07304790 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 07304790) 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
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, 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: 47N 33C 81V 81R 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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}, in: Resurgence, physics and numbers, Pisa, Italy, May 18--22, 2015. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore. 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
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
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
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
Si, Wen; Si, Jianguo Construction of response solutions for two classes of quasi-periodically forced four-dimensional nonlinear systems with degenerate equilibrium point under small perturbations. (English) Zbl 1364.37130 J. Differ. Equations 262, No. 9, 4771-4822 (2017). Reviewer: Petro Feketa (Erfurt) MSC: 37J40 34C27 34E20 PDF BibTeX XML Cite \textit{W. Si} and \textit{J. Si}, J. Differ. Equations 262, No. 9, 4771--4822 (2017; Zbl 1364.37130) Full Text: DOI
Cheverry, Christophe Anomalous transport. (English) Zbl 1358.35194 J. Differ. Equations 262, No. 3, 2987-3033 (2017). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q83 34E13 34E20 34C29 34C46 70H06 70H08 76F20 76X05 PDF BibTeX XML Cite \textit{C. Cheverry}, J. Differ. Equations 262, No. 3, 2987--3033 (2017; Zbl 1358.35194) Full Text: DOI
Fan, Lili; Gao, Hongjun Instability of equatorial edge waves in the background flow. (English) Zbl 1355.35182 Proc. Am. Math. Soc. 145, No. 2, 765-778 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q86 76E20 34E20 76B70 PDF BibTeX XML Cite \textit{L. Fan} and \textit{H. Gao}, Proc. Am. Math. Soc. 145, No. 2, 765--778 (2017; Zbl 1355.35182) Full Text: DOI
Deng, Guo; Biondini, Gino; Trillo, Stefano Small dispersion limit of the Korteweg-de Vries equation with periodic initial conditions and analytical description of the Zabusky-Kruskal experiment. (English) Zbl 1415.35238 Physica D 333, 137-147 (2016). MSC: 35Q53 35P25 81U40 PDF BibTeX XML Cite \textit{G. Deng} et al., Physica D 333, 137--147 (2016; Zbl 1415.35238) Full Text: DOI
Miller, Peter D. On the generation of dispersive shock waves. (English) Zbl 1415.35046 Physica D 333, 66-83 (2016). MSC: 35B40 81Q20 35Q55 PDF BibTeX XML Cite \textit{P. D. Miller}, Physica D 333, 66--83 (2016; Zbl 1415.35046) Full Text: DOI
Perthame, Benoit; Souganidis, P. E. Rare mutations limit of a steady state dispersal evolution model. (English) Zbl 1387.35027 Math. Model. Nat. Phenom. 11, No. 4, 154-166 (2016). MSC: 35B25 35F21 92D15 35D40 PDF BibTeX XML Cite \textit{B. Perthame} and \textit{P. E. Souganidis}, Math. Model. Nat. Phenom. 11, No. 4, 154--166 (2016; Zbl 1387.35027) Full Text: DOI
Lorin, E.; Yang, Xu Frozen Gaussian approximation-based two-level methods for multi-frequency Schrödinger equation. (English) Zbl 1375.81107 Comput. Phys. Commun. 207, 145-159 (2016). MSC: 81Q20 65Z05 35Q41 PDF BibTeX XML Cite \textit{E. Lorin} and \textit{X. Yang}, Comput. Phys. Commun. 207, 145--159 (2016; Zbl 1375.81107) Full Text: DOI
Rizwan, Muhammad; Saifullah, K. Hawking radiation from magnetized Kerr-Newman black hole. (English) Zbl 1370.83017 Gen. Relativ. Gravitation 48, No. 12, Article ID 163, 16 p. (2016). MSC: 83C22 83C57 85A25 70H20 81Q20 80A10 PDF BibTeX XML Cite \textit{M. Rizwan} and \textit{K. Saifullah}, Gen. Relativ. Gravitation 48, No. 12, Article ID 163, 16 p. (2016; Zbl 1370.83017) Full Text: DOI
Norbury, Paul Quantum curves and topological recursion. (English) Zbl 1359.81114 Bouchard, Vincent (ed.) et al., String-Math 2014. Proceedings of the conference and satellite workshops, University of Alberta, Edmonton, Alberta, Canada, June 9–13, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1992-9/hbk; 978-1-4704-3015-3/ebook). Proceedings of Symposia in Pure Mathematics 93, 41-65 (2016). MSC: 81Q20 81Q10 14H81 14N10 14N35 53D45 05A15 81S10 PDF BibTeX XML Cite \textit{P. Norbury}, Proc. Symp. Pure Math. 93, 41--65 (2016; Zbl 1359.81114) Full Text: DOI arXiv
Shudo, Akira; Hanada, Yasutaka; Ikeda, Kensuke S. Quantum tunneling in nonintegrable systems: beyond the leading order semiclassical description. (English) Zbl 1364.37175 RIMS Kôkyûroku Bessatsu B57, 27-38 (2016). MSC: 37N20 34E20 81P45 PDF BibTeX XML Cite \textit{A. Shudo} et al., RIMS Kôkyûroku Bessatsu B57, 27--38 (2016; Zbl 1364.37175)
Seri, Marcello; Knauf, Andreas; Esposti, Mirko Degli; Jecko, Thierry Resonances in the two-center Coulomb systems. (English) Zbl 1360.81337 Rev. Math. Phys. 28, No. 7, Article ID 1650016, 55 p. (2016). Reviewer: Eugene Kryachko (Liège) MSC: 81V55 34E20 34F15 35P15 81U05 81Q20 35B34 34L40 PDF BibTeX XML Cite \textit{M. Seri} et al., Rev. Math. Phys. 28, No. 7, Article ID 1650016, 55 p. (2016; Zbl 1360.81337) Full Text: DOI arXiv
Paul, Thierry; Stolovitch, Laurent Quantum singular complete integrability. (English) Zbl 1350.47057 J. Funct. Anal. 271, No. 6, 1377-1433 (2016). MSC: 47N50 81Q15 81Q20 37J35 37J40 PDF BibTeX XML Cite \textit{T. Paul} and \textit{L. Stolovitch}, J. Funct. Anal. 271, No. 6, 1377--1433 (2016; Zbl 1350.47057) Full Text: DOI
Shvedov, O. Yu. Maslov complex germ method for systems with second-class constraints. (English. Russian original) Zbl 1338.81194 Theor. Math. Phys. 186, No. 3, 365-373 (2016); translation from Teor. Mat. Fiz. 186, No. 3, 423-432 (2016). MSC: 81Q05 81Q20 PDF BibTeX XML Cite \textit{O. Yu. Shvedov}, Theor. Math. Phys. 186, No. 3, 365--373 (2016; Zbl 1338.81194); translation from Teor. Mat. Fiz. 186, No. 3, 423--432 (2016) Full Text: DOI
Ionescu-Kruse, Delia Instability of equatorially trapped waves in stratified water. (English) Zbl 1352.35191 Ann. Mat. Pura Appl. (4) 195, No. 2, 585-599 (2016). Reviewer: Marin I. Marin (Braşov) MSC: 35Q86 34E20 76B70 86A05 PDF BibTeX XML Cite \textit{D. Ionescu-Kruse}, Ann. Mat. Pura Appl. (4) 195, No. 2, 585--599 (2016; Zbl 1352.35191) Full Text: DOI
Xi, Ping; Ao, Xi-chen Quasinormal modes of generalized ABG black holes: scalar and gravitational perturbations. (English) Zbl 1334.83029 Gen. Relativ. Gravitation 48, No. 2, Paper No. 14, 9 p. (2016). MSC: 83C15 83C57 83C25 81Q20 PDF BibTeX XML Cite \textit{P. Xi} and \textit{X.-c. Ao}, Gen. Relativ. Gravitation 48, No. 2, Paper No. 14, 9 p. (2016; Zbl 1334.83029) Full Text: DOI
Disertori, Margherita; Sodin, Sasha Semi-classical analysis of non-self-adjoint transfer matrices in statistical mechanics. I. (English) Zbl 1341.82007 Ann. Henri Poincaré 17, No. 2, 437-458 (2016). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82B10 81Q20 82D30 81Q60 81V05 PDF BibTeX XML Cite \textit{M. Disertori} and \textit{S. Sodin}, Ann. Henri Poincaré 17, No. 2, 437--458 (2016; Zbl 1341.82007) Full Text: DOI arXiv
Boussekkine, Naima; Mecherout, Nawal \(\mathcal{PT}\)-symmetry and potential well. The simple well case. (\(\mathcal{PT}\)-symmetry and potentiel well. The simple well case.) (English) Zbl 1336.47048 Math. Nachr. 289, No. 1, 13-27 (2016). MSC: 47E05 81Q12 81Q20 47A10 47A55 PDF BibTeX XML Cite \textit{N. Boussekkine} and \textit{N. Mecherout}, Math. Nachr. 289, No. 1, 13--27 (2016; Zbl 1336.47048) Full Text: DOI
Vukadinovic, J.; Dedits, E.; Poje, A. C.; Schäfer, T. Averaging and spectral properties for the 2D advection-diffusion equation in the semi-classical limit for vanishing diffusivity. (English) Zbl 1364.35211 Physica D 310, 1-18 (2015). MSC: 35P05 34M60 PDF BibTeX XML Cite \textit{J. Vukadinovic} et al., Physica D 310, 1--18 (2015; Zbl 1364.35211) Full Text: DOI
Koide, T. Classicalization of quantum variables and quantum-classical hybrids. (English) Zbl 1364.81129 Phys. Lett., A 379, No. 36, 2007-2012 (2015). MSC: 81Q20 PDF BibTeX XML Cite \textit{T. Koide}, Phys. Lett., A 379, No. 36, 2007--2012 (2015; Zbl 1364.81129) Full Text: DOI arXiv
Samoylenko, V. H.; Samoylenko, Yu. I. Asymptotic multiphase solitonlike solutions of the Cauchy problem for a singularly perturbed Korteweg-de-Vries equation with variable coefficients. (English. Ukrainian original) Zbl 1353.35253 Ukr. Math. J. 66, No. 12, 1842-1861 (2015); translation from Ukr. Mat. Zh. 66, No. 12, 1640-1657 (2014). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35C08 34E20 PDF BibTeX XML Cite \textit{V. H. Samoylenko} and \textit{Yu. I. Samoylenko}, Ukr. Math. J. 66, No. 12, 1842--1861 (2015; Zbl 1353.35253); translation from Ukr. Mat. Zh. 66, No. 12, 1640--1657 (2014) Full Text: DOI
Yao, Ying-Bo; Li, De-Jun; Tang, Bing Semiclassical intrinsic localized modes in the \(\beta\)-Fermi-Pasta-Ulam lattice model with first- and second-nearest neighbor interactions. (English) Zbl 1338.81208 Int. J. Mod. Phys. B 29, No. 30, Article ID 1550214, 13 p. (2015). MSC: 81Q20 81Q50 82D25 81R30 35C08 PDF BibTeX XML Cite \textit{Y.-B. Yao} et al., Int. J. Mod. Phys. B 29, No. 30, Article ID 1550214, 13 p. (2015; Zbl 1338.81208) Full Text: DOI
Novák, Radek On the pseudospectrum of the harmonic oscillator with imaginary cubic potential. (English) Zbl 1329.81205 Int. J. Theor. Phys. 54, No. 11, 4142-4153 (2015). MSC: 81R05 81Q12 81Q20 PDF BibTeX XML Cite \textit{R. Novák}, Int. J. Theor. Phys. 54, No. 11, 4142--4153 (2015; Zbl 1329.81205) Full Text: DOI
Dujardin, Julien; Engl, Thomas; Urbina, Juan Diego; Schlagheck, Peter Describing many-body bosonic waveguide scattering with the truncated Wigner method. (English) Zbl 1329.81193 Ann. Phys., Berlin 527, No. 9-10, 629-638 (2015). MSC: 81Q37 81Q20 81U05 82D77 82B31 PDF BibTeX XML Cite \textit{J. Dujardin} et al., Ann. Phys., Berlin 527, No. 9--10, 629--638 (2015; Zbl 1329.81193) Full Text: DOI
Zheng, Chunxiong Global geometrical optics approximation to the high frequency Helmholtz equation with discontinuous media. (English) Zbl 1332.78032 Commun. Math. Sci. 13, No. 8, 1949-1974 (2015). MSC: 78M35 65M25 35J05 35Q60 34E20 35A35 PDF BibTeX XML Cite \textit{C. Zheng}, Commun. Math. Sci. 13, No. 8, 1949--1974 (2015; Zbl 1332.78032) Full Text: DOI
Sanjaranipour, M.; Abdolalian, N. Higher-order asymptotic result for the wrinkling of an everted Varga spherical shell. (English) Zbl 1330.74124 Z. Angew. Math. Phys. 66, No. 4, 1939-1947 (2015). MSC: 74K25 74G60 PDF BibTeX XML Cite \textit{M. Sanjaranipour} and \textit{N. Abdolalian}, Z. Angew. Math. Phys. 66, No. 4, 1939--1947 (2015; Zbl 1330.74124) Full Text: DOI
Helffer, Bernard; Kordyukov, Yuri A. Accurate semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator. (English) Zbl 1338.81187 Ann. Henri Poincaré 16, No. 7, 1651-1688 (2015). Reviewer: J. M. Hoff da Silva (Guaratinguetá) MSC: 81Q05 81Q10 81Q20 35J10 81Q35 PDF BibTeX XML Cite \textit{B. Helffer} and \textit{Y. A. Kordyukov}, Ann. Henri Poincaré 16, No. 7, 1651--1688 (2015; Zbl 1338.81187) Full Text: DOI arXiv
Li, De-Jun Intrinsic localized modes in antiferromagnetic chains with Dzyaloshinsky-Moriya interaction. (English) Zbl 1320.82014 Int. J. Theor. Phys. 54, No. 4, 1316-1324 (2015). MSC: 82B20 82D40 81Q20 35C08 35Q55 PDF BibTeX XML Cite \textit{D.-J. Li}, Int. J. Theor. Phys. 54, No. 4, 1316--1324 (2015; Zbl 1320.82014) Full Text: DOI
Di Cosmo, Jonathan; Van Schaftingen, Jean Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. (English) Zbl 1315.35200 J. Differ. Equations 259, No. 2, 596-627 (2015). MSC: 35Q55 35B25 35B40 35J20 81Q20 78A25 PDF BibTeX XML Cite \textit{J. Di Cosmo} and \textit{J. Van Schaftingen}, J. Differ. Equations 259, No. 2, 596--627 (2015; Zbl 1315.35200) Full Text: DOI arXiv
Ionescu-Kruse, Delia Short-wavelength instabilities of edge waves in stratified water. (English) Zbl 1302.76070 Discrete Contin. Dyn. Syst. 35, No. 5, 2053-2066 (2015). MSC: 76E99 76B15 76B70 35Q35 35B36 34E20 PDF BibTeX XML Cite \textit{D. Ionescu-Kruse}, Discrete Contin. Dyn. Syst. 35, No. 5, 2053--2066 (2015; Zbl 1302.76070) Full Text: DOI
Russo, Giovanni; Smereka, Peter The Gaussian wave packet transform: efficient computation of the semi-classical limit of the Schrödinger equation. II: Multidimensional case. (English) Zbl 1349.65400 J. Comput. Phys. 257, Part A, 1022-1038 (2014). MSC: 65M20 65M70 81Q20 PDF BibTeX XML Cite \textit{G. Russo} and \textit{P. Smereka}, J. Comput. Phys. 257, Part A, 1022--1038 (2014; Zbl 1349.65400) Full Text: DOI
Garay, Mauricio; de Goursac, Axel; van Straten, Duco Resurgent deformation quantisation. (English) Zbl 1342.81135 Ann. Phys. 342, 83-102 (2014). MSC: 81Q20 32C81 81R05 81S10 PDF BibTeX XML Cite \textit{M. Garay} et al., Ann. Phys. 342, 83--102 (2014; Zbl 1342.81135) Full Text: DOI arXiv
Ruzhansky, Michael; Wirth, Jens Asymptotic behaviour of solutions to hyperbolic equations and systems. (English) Zbl 1336.35066 Tikhonov, Sergey (ed.), Variable Lebesgue spaces and hyperbolic systems. Based on the presentations at two courses given under the title ‘Advanced courses on approximation theory and Fourier analysis’, Barcelona, Spain, November 7–11, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0839-2/pbk; 978-3-0348-0840-8/ebook). Advanced Courses in Mathematics – CRM Barcelona, 93-98 (2014). Reviewer: Michael Reissig (Freiberg) MSC: 35B40 35L10 35L45 PDF BibTeX XML Cite \textit{M. Ruzhansky} and \textit{J. Wirth}, in: Variable Lebesgue spaces and hyperbolic systems. Based on the presentations at two courses given under the title `Advanced courses on approximation theory and Fourier analysis', Barcelona, Spain, November 7--11, 2011. Basel: Birkhäuser/Springer. 93--98 (2014; Zbl 1336.35066) Full Text: DOI arXiv
Shudo, Akira The Stokes geometry of the quantum Hénon map in the horseshoe regime. (English) Zbl 1342.37047 RIMS Kôkyûroku Bessatsu B52, 263-282 (2014). MSC: 37E30 37D20 34E20 81Q20 PDF BibTeX XML Cite \textit{A. Shudo}, RIMS Kôkyûroku Bessatsu B52, 263--282 (2014; Zbl 1342.37047)
Liu, Shude; Ye, Shanshan; Wang, Danfeng Singularly perturbed semilinear boundary value problems with nonmonotone transition layer properties. (Chinese. English summary) Zbl 1324.34040 Chin. J. Eng. Math. 31, No. 6, 872-878 (2014). MSC: 34B15 34E15 34E20 34A40 34E05 PDF BibTeX XML Cite \textit{S. Liu} et al., Chin. J. Eng. Math. 31, No. 6, 872--878 (2014; Zbl 1324.34040) Full Text: DOI
Han, Xianglin; Li, Huang; Ouyang, Cheng A class of singularly perturbed equations for large parameters with three turning points. (Chinese. English summary) Zbl 1324.34111 Acta Math. Appl. Sin. 37, No. 4, 687-695 (2014). MSC: 34E05 34E20 PDF BibTeX XML Cite \textit{X. Han} et al., Acta Math. Appl. Sin. 37, No. 4, 687--695 (2014; Zbl 1324.34111)
Flockerzi, Dietrich Introduction to the geometric theory of ODEs with applications to chemical processes. (English) Zbl 1322.34002 Benner, Peter (ed.) et al., Large-scale networks in engineering and life sciences. Based on the summer school, Magdeburg, Germany, September 26–30, 2011. Heidelberg: Birkhäuser/Springer (ISBN 978-3-319-08436-7/hbk; 978-3-319-08437-4/ebook). Modeling and Simulation in Science, Engineering and Technology, 1-123 (2014). MSC: 34-02 34A26 34C23 34C20 34C45 34E20 34D20 92E20 PDF BibTeX XML Cite \textit{D. Flockerzi}, in: Large-scale networks in engineering and life sciences. Based on the summer school, Magdeburg, Germany, September 26--30, 2011. Heidelberg: Birkhäuser/Springer. 1--123 (2014; Zbl 1322.34002) Full Text: DOI
Antonelli, Paolo; Athanassoulis, Agissilaos; Huang, Zhongyi; Markowich, Peter A. Numerical simulations of X-ray free electron lasers (XFEL). (English) Zbl 1319.78015 Multiscale Model. Simul. 12, No. 4, 1607-1621 (2014). MSC: 78A60 65M70 74Q10 35B27 81Q20 35Q55 78M22 PDF BibTeX XML Cite \textit{P. Antonelli} et al., Multiscale Model. Simul. 12, No. 4, 1607--1621 (2014; Zbl 1319.78015) Full Text: DOI arXiv
Makina, N. K.; Nazirova, É. A.; Sultanaev, Ya. T. On the methods of study of the asymptotic behavior of solutions of singular differential equations. (English. Russian original) Zbl 1320.34076 Math. Notes 96, No. 4, 603-608 (2014); translation from Mat. Zametki 96, No. 4, 627-632 (2014). MSC: 34D05 34C20 34A30 PDF BibTeX XML Cite \textit{N. K. Makina} et al., Math. Notes 96, No. 4, 603--608 (2014; Zbl 1320.34076); translation from Mat. Zametki 96, No. 4, 627--632 (2014) Full Text: DOI
Eliseev, A. G.; Konyaev, Yu. A.; Shaposhnikova, D. A. Unique solvability of singularly perturbed boundary-value problems with unstable spectrum of the limit operator. (English. Russian original) Zbl 1320.34087 Math. Notes 95, No. 2, 202-205 (2014); translation from Mat. Zametki 95, No. 2, 222-226 (2014). MSC: 34E05 34B10 34E15 34E20 PDF BibTeX XML Cite \textit{A. G. Eliseev} et al., Math. Notes 95, No. 2, 202--205 (2014; Zbl 1320.34087); translation from Mat. Zametki 95, No. 2, 222--226 (2014) Full Text: DOI
Zhen, Chunxiong Optimal error estimates for first-order Gaussian beam approximations to the Schrödinger equation. (English) Zbl 1312.81077 SIAM J. Numer. Anal. 52, No. 6, 2905-2930 (2014). MSC: 81Q20 46F12 65M25 78M35 81Q05 PDF BibTeX XML Cite \textit{C. Zhen}, SIAM J. Numer. Anal. 52, No. 6, 2905--2930 (2014; Zbl 1312.81077) Full Text: DOI
Ma, Qingqing; Liu, Shude Shock solutions for singularly perturbed quadratic problems with higher-order turning points. (Chinese. English summary) Zbl 1313.34176 J. Math., Wuhan Univ. 34, No. 4, 717-722 (2014). MSC: 34E20 34E05 34A40 PDF BibTeX XML Cite \textit{Q. Ma} and \textit{S. Liu}, J. Math., Wuhan Univ. 34, No. 4, 717--722 (2014; Zbl 1313.34176)
Feng, Yihu; Liu, Shude Spike layer solutions of some quadratic singular perturbation problems with higher-order turning points. (English) Zbl 1313.34175 Math. Appl. 27, No. 1, 50-55 (2014). MSC: 34E20 34A40 34E05 PDF BibTeX XML Cite \textit{Y. Feng} and \textit{S. Liu}, Math. Appl. 27, No. 1, 50--55 (2014; Zbl 1313.34175)
Pereskokov, A. V. Semiclassical asymptotic spectrum of a Hartree-type operator near the upper boundary of spectral clusters. (English. Russian original) Zbl 1298.81093 Theor. Math. Phys. 178, No. 1, 76-92 (2014); translation from Teor. Mat. Fiz. 178, No. 1, 88-106 (2014). MSC: 81Q20 81Q10 PDF BibTeX XML Cite \textit{A. V. Pereskokov}, Theor. Math. Phys. 178, No. 1, 76--92 (2014; Zbl 1298.81093); translation from Teor. Mat. Fiz. 178, No. 1, 88--106 (2014) Full Text: DOI
Andresas, Dimitris; Robnik, Marko Statistical properties of the energy in time-dependent homogeneous power law potentials. (English) Zbl 1300.81044 J. Phys. A, Math. Theor. 47, No. 35, Article ID 355102, 10 p. (2014). MSC: 81Q20 PDF BibTeX XML Cite \textit{D. Andresas} and \textit{M. Robnik}, J. Phys. A, Math. Theor. 47, No. 35, Article ID 355102, 10 p. (2014; Zbl 1300.81044) Full Text: DOI
Henry, Raphaël Spectral instability for even non-selfadjoint anharmonic oscillators. (English) Zbl 1308.34112 J. Spectr. Theory 4, No. 2, 349-364 (2014). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 34L05 34E20 34L10 34L15 PDF BibTeX XML Cite \textit{R. Henry}, J. Spectr. Theory 4, No. 2, 349--364 (2014; Zbl 1308.34112) Full Text: DOI arXiv
Girotti, Manuela Asymptotics of the tacnode process: a transition between the gap probabilities from the tacnode to the Airy process. (English) Zbl 1305.60073 Nonlinearity 27, No. 8, 1937-1968 (2014). MSC: 60J60 60G55 35Q15 34M60 PDF BibTeX XML Cite \textit{M. Girotti}, Nonlinearity 27, No. 8, 1937--1968 (2014; Zbl 1305.60073) Full Text: DOI arXiv
Figalli, A.; Klein, C.; Markowich, P.; Sparber, C. WKB analysis of Bohmian dynamics. (English) Zbl 1341.35139 Commun. Pure Appl. Math. 67, No. 4, 581-620 (2014). MSC: 35Q41 35Q40 81Q05 81Q65 35B40 PDF BibTeX XML Cite \textit{A. Figalli} et al., Commun. Pure Appl. Math. 67, No. 4, 581--620 (2014; Zbl 1341.35139) Full Text: DOI arXiv