Takei, Yoshitsugu On a local reduction of a higher order Painlevé equation and its underlying Lax pair near a simple turning point of the first kind. (English) Zbl 1144.34062 Delabaere, Éric (ed.) et al., Théories asymptotiques et équations de Painlevé. Paris: Société Mathématique de France (ISBN 978-2-85629-229-7/pbk). Séminaires et Congrès 14, 281-297 (2006). Reviewer: Galina Filipuk (Loughborough) MSC: 34M60 34M55 34M35 PDFBibTeX XMLCite \textit{Y. Takei}, Sémin. Congr. 14, 281--297 (2006; Zbl 1144.34062)
Conte, Robert; Musette, Micheline; Verhoeven, Caroline Painlevé property of the Hénon-Heiles Hamiltonians. (English) Zbl 1144.34061 Delabaere, Éric (ed.) et al., Théories asymptotiques et équations de Painlevé. Paris: Société Mathématique de France (ISBN 978-2-85629-229-7/pbk). Séminaires et Congrès 14, 65-82 (2006). Reviewer: Galina Filipuk (Loughborough) MSC: 34M60 34M55 PDFBibTeX XMLCite \textit{R. Conte} et al., Sémin. Congr. 14, 65--82 (2006; Zbl 1144.34061) Full Text: arXiv
Shen, Yun-Qiu; Ypma, Tjalling J. A unified approach to computing dynamical equilibria. (English) Zbl 1139.65083 Can. Appl. Math. Q. 14, No. 3, 343-359 (2006). MSC: 65P30 37M20 37G10 PDFBibTeX XMLCite \textit{Y.-Q. Shen} and \textit{T. J. Ypma}, Can. Appl. Math. Q. 14, No. 3, 343--359 (2006; Zbl 1139.65083)
Watanabe, Takuya Adiabatic transition probability for a tangential crossing. (English) Zbl 1141.34059 Hiroshima Math. J. 36, No. 3, 443-468 (2006). Reviewer: V. P. Lexin (Kolomna) MSC: 34M60 81Q20 81Q05 34E20 PDFBibTeX XMLCite \textit{T. Watanabe}, Hiroshima Math. J. 36, No. 3, 443--468 (2006; Zbl 1141.34059)
Coman, Ciprian D. Inhomogeneities and localised buckling patterns. (English) Zbl 1114.74017 IMA J. Appl. Math. 71, No. 1, 133-152 (2006). MSC: 74G60 74G10 PDFBibTeX XMLCite \textit{C. D. Coman}, IMA J. Appl. Math. 71, No. 1, 133--152 (2006; Zbl 1114.74017) Full Text: DOI
Bertini, Massimo; Noja, Diego; Posilicano, Andrea Dynamics and Lax–Phillips scattering for generalized Lamb models. (English) Zbl 1109.81081 J. Phys. A, Math. Gen. 39, No. 49, 15173-15195 (2006). Reviewer: Olaf Post (Berlin) MSC: 81U05 81Q10 35P25 34M60 PDFBibTeX XMLCite \textit{M. Bertini} et al., J. Phys. A, Math. Gen. 39, No. 49, 15173--15195 (2006; Zbl 1109.81081) Full Text: DOI arXiv
Guzzetti, Davide Matching procedure for the sixth Painlevé equation. (English) Zbl 1133.34048 J. Phys. A, Math. Gen. 39, No. 39, 11973-12031 (2006). Reviewer: Shun Shimomura (Yokohama) MSC: 34M55 34M60 PDFBibTeX XMLCite \textit{D. Guzzetti}, J. Phys. A, Math. Gen. 39, No. 39, 11973--12031 (2006; Zbl 1133.34048) Full Text: DOI arXiv
Hibino, Masaki Borel summability of divergent solutions for singularly perturbed first order ordinary differential equations. (English) Zbl 1118.34083 Tohoku Math. J. (2) 58, No. 2, 237-258 (2006). MSC: 34M30 34M60 PDFBibTeX XMLCite \textit{M. Hibino}, Tôhoku Math. J. (2) 58, No. 2, 237--258 (2006; Zbl 1118.34083) Full Text: DOI Link
Liu, Weishi Geometric singular perturbations for multiple turning points: invariant manifolds and exchange lemmas. (English) Zbl 1115.34055 J. Dyn. Differ. Equations 18, No. 3, 667-691 (2006). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E15 34C45 PDFBibTeX XMLCite \textit{W. Liu}, J. Dyn. Differ. Equations 18, No. 3, 667--691 (2006; Zbl 1115.34055) Full Text: DOI
Kawai, Takahiro; Takei, Yoshitsugu WKB analysis of higher order Painlevé equations with a large parameter – local reduction of 0-parameter solutions for Painlevé hierarchies \((P_{J})\) (\(J=\text{ I, II-1 or II-2}\)). (English) Zbl 1108.34065 Adv. Math. 203, No. 2, 636-672 (2006). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M60 34E20 34M55 33E17 PDFBibTeX XMLCite \textit{T. Kawai} and \textit{Y. Takei}, Adv. Math. 203, No. 2, 636--672 (2006; Zbl 1108.34065) Full Text: DOI
Wang, Lijie Singularly perturbated equations with turning point. (Chinese. English summary) Zbl 1104.34330 J. Anhui Univ., Nat. Sci. 30, No. 3, 14-16 (2006). MSC: 34E20 34E15 34M60 PDFBibTeX XMLCite \textit{L. Wang}, J. Anhui Univ., Nat. Sci. 30, No. 3, 14--16 (2006; Zbl 1104.34330)
Baklouti, Hamadi; Mnif, Maher Asymptotics of resonances for a degenerate potential barrier. (Asymptotique des résonances pour une barrière de potentiel dégénérée.) (French) Zbl 1200.34106 Asymptotic Anal. 47, No. 1-2, 19-48 (2006). MSC: 34L40 34L25 34M60 35J10 35P25 81Q20 PDFBibTeX XMLCite \textit{H. Baklouti} and \textit{M. Mnif}, Asymptotic Anal. 47, No. 1--2, 19--48 (2006; Zbl 1200.34106) Full Text: Link
Syam, Muhammed I.; Hamdan, Abdelrahem An efficient method for solving Bratu equations. (English) Zbl 1093.65108 Appl. Math. Comput. 176, No. 2, 704-713 (2006). MSC: 65N25 35P30 35A22 65H20 PDFBibTeX XMLCite \textit{M. I. Syam} and \textit{A. Hamdan}, Appl. Math. Comput. 176, No. 2, 704--713 (2006; Zbl 1093.65108) Full Text: DOI
Juncu, Gh.; Mosekilde, E.; Popa, C. Numerical experiments with MG continuation algorithms. (English) Zbl 1097.65064 Appl. Numer. Math. 56, No. 6, 844-861 (2006). MSC: 65H10 65H20 35J65 65N06 35B32 65N55 PDFBibTeX XMLCite \textit{Gh. Juncu} et al., Appl. Numer. Math. 56, No. 6, 844--861 (2006; Zbl 1097.65064) Full Text: DOI
Yurko, V. Inverse spectral problems for differential pencils on the half-line with turning points. (English) Zbl 1104.34003 J. Math. Anal. Appl. 320, No. 1, 439-463 (2006). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 34A55 PDFBibTeX XMLCite \textit{V. Yurko}, J. Math. Anal. Appl. 320, No. 1, 439--463 (2006; Zbl 1104.34003) Full Text: DOI
Ben Abdallah, Naoufel; Pinaud, Olivier Multiscale simulation of transport in an open quantum system: Resonances and WKB interpolation. (English) Zbl 1089.65074 J. Comput. Phys. 213, No. 1, 288-310 (2006). MSC: 65L10 81Q05 34L40 34M60 82D37 PDFBibTeX XMLCite \textit{N. Ben Abdallah} and \textit{O. Pinaud}, J. Comput. Phys. 213, No. 1, 288--310 (2006; Zbl 1089.65074) Full Text: DOI
Rasoamanana, Jean-Marc Résurgence des solutions BKW d’une EDO singulièrement perturbée. arXiv:math/0601773 Preprint, arXiv:math/0601773 [math.CV] (2006). MSC: 30E15 34E20 34L40 34M60 41A60 BibTeX Cite \textit{J.-M. Rasoamanana}, ``R\'{e}surgence des solutions BKW d'une EDO singuli\`{e}rement perturb\'{e}e'', Preprint, arXiv:math/0601773 [math.CV] (2006) Full Text: arXiv
Nakano, Minoru On the complex WKB analysis for a 2nd order linear O.D.E. with the most general characteristic polygon. (English) Zbl 1218.34064 Dimiev, Stancho (ed.) et al., Contemporary aspects of complex analysis, differential geometry and mathematical physics. Proceedings of the 7th international workshop on complex structures and vector fields, Plovdiv, Bulgaria, August 31–September 4, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-390-3/hbk). 227-243 (2005). MSC: 34E20 34M60 PDFBibTeX XMLCite \textit{M. Nakano}, in: Contemporary aspects of complex analysis, differential geometry and mathematical physics. Proceedings of the 7th international workshop on complex structures and vector fields, Plovdiv, Bulgaria, August 31--September 4, 2004. Hackensack, NJ: World Scientific. 227--243 (2005; Zbl 1218.34064) Full Text: Link
Zhang, Fu Existence of a periodic solution in a Chua’s circuit with smooth nonlinearity. (English) Zbl 1212.34102 Differ. Integral Equ. 18, No. 1, 83-120 (2005). MSC: 34C05 34A12 34E20 PDFBibTeX XMLCite \textit{F. Zhang}, Differ. Integral Equ. 18, No. 1, 83--120 (2005; Zbl 1212.34102)
Liu, Weishi Geometric approach to a singular boundary value problem with turning points. (English) Zbl 1196.34075 Discrete Contin. Dyn. Syst. 2005, Suppl., 624-633 (2005). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E20 34B16 34B15 PDFBibTeX XMLCite \textit{W. Liu}, Discrete Contin. Dyn. Syst. 2005, 624--633 (2005; Zbl 1196.34075)
Olde Daalhuis, A. B. Hyperasymptotics for nonlinear ODEs. II: The first Painlevé equation and a second-order Riccati equation. (English) Zbl 1206.34077 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2062, 3005-3021 (2005). MSC: 34E05 34M40 34M55 34M60 PDFBibTeX XMLCite \textit{A. B. Olde Daalhuis}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2062, 3005--3021 (2005; Zbl 1206.34077) Full Text: DOI
Ólafsdóttir, E. I.; Olde Daalhuis, A. B.; Vanneste, J. Stokes-multiplier expansion in an inhomogeneous differential equation with a small parameter. (English) Zbl 1206.34111 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2059, 2243-2256 (2005). MSC: 34M40 34M60 76B15 76M45 PDFBibTeX XMLCite \textit{E. I. Ólafsdóttir} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2059, 2243--2256 (2005; Zbl 1206.34111) Full Text: DOI
Kawai, Takahiro; Takei, Yoshitsugu Algebraic analysis of singular perturbation theory. Transl. from the Japanese by Goro Kato. (English) Zbl 1100.34004 Translations of Mathematical Monographs 227. Iwanami Series in Modern Mathematics. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3547-5/pbk). xiii, 128 p. (2005). Reviewer: W. Balser (MR 2182990) MSC: 34-02 34E15 34E20 34M60 PDFBibTeX XMLCite \textit{T. Kawai} and \textit{Y. Takei}, Algebraic analysis of singular perturbation theory. Transl. from the Japanese by Goro Kato. Providence, RI: American Mathematical Society (AMS) (2005; Zbl 1100.34004)
Argyros, Ioannis K. On the computation of continuation curves for solving nonlinear equations. (English) Zbl 1117.65328 Adv. Nonlinear Var. Inequal. 8, No. 2, 101-108 (2005). MSC: 65H20 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 8, No. 2, 101--108 (2005; Zbl 1117.65328)
Fruchard, A.; Matzinger, E. Matching and singularities of canard values. (English) Zbl 1077.34091 Costin, O. (ed.) et al., Analyzable functions and applications. International workshop, Edinburgh, UK, June 17–21, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3419-3/pbk). Contemporary Mathematics 373, 317-335 (2005). MSC: 34M60 34E20 34M30 PDFBibTeX XMLCite \textit{A. Fruchard} and \textit{E. Matzinger}, Contemp. Math. 373, 317--335 (2005; Zbl 1077.34091)
Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu On global aspects of exact WKB analysis of operators admitting infinitely many phases. (English) Zbl 1087.34064 Costin, O. (ed.) et al., Analyzable functions and applications. International workshop, Edinburgh, UK, June 17–21, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3419-3/pbk). Contemporary Mathematics 373, 11-47 (2005). Reviewer: J. Saurer (Regensburg) MSC: 34M60 PDFBibTeX XMLCite \textit{T. Aoki} et al., Contemp. Math. 373, 11--47 (2005; Zbl 1087.34064)
Aït-Mokhtar, Sadjia A singularly perturbed Riccati equation. (English) Zbl 1080.34075 Costin, O. (ed.) et al., Analyzable functions and applications. International workshop, Edinburgh, UK, June 17–21, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3419-3/pbk). Contemporary Mathematics 373, 1-9 (2005). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 34M60 30D30 PDFBibTeX XMLCite \textit{S. Aït-Mokhtar}, Contemp. Math. 373, 1--9 (2005; Zbl 1080.34075)
Nikolopoulos, L. A. A. A numerical basis for the accurate representation of the continuum spectrum of atomic Hamiltonians. (English) Zbl 1073.65072 J. Math. Chem. 37, No. 3, 191-199 (2005). MSC: 65L15 34L16 34L40 34M60 PDFBibTeX XMLCite \textit{L. A. A. Nikolopoulos}, J. Math. Chem. 37, No. 3, 191--199 (2005; Zbl 1073.65072) Full Text: DOI
Fedotov, Alexander; Klopp, Frédéric On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit. (English) Zbl 1101.34069 Trans. Am. Math. Soc. 357, No. 11, 4481-4516 (2005). MSC: 34L40 34E20 34M60 47A10 47E05 81Q05 81Q10 PDFBibTeX XMLCite \textit{A. Fedotov} and \textit{F. Klopp}, Trans. Am. Math. Soc. 357, No. 11, 4481--4516 (2005; Zbl 1101.34069) Full Text: DOI
Gupta, Ramesh C.; Lvin, Sergey Monotonicity of failure rate and mean residual life function of a gamma-type model. (English) Zbl 1062.62230 Appl. Math. Comput. 165, No. 3, 623-633 (2005). MSC: 62N05 62E10 PDFBibTeX XMLCite \textit{R. C. Gupta} and \textit{S. Lvin}, Appl. Math. Comput. 165, No. 3, 623--633 (2005; Zbl 1062.62230) Full Text: DOI
Ramos, J. I. An exponentially fitted method for singularly perturbed ordinary differential equations with turning points and parabolic problems. (English) Zbl 1070.65089 Appl. Math. Comput. 165, No. 3, 549-564 (2005). MSC: 65M20 35K15 35B25 65L10 34B05 34E15 65M12 65L20 PDFBibTeX XMLCite \textit{J. I. Ramos}, Appl. Math. Comput. 165, No. 3, 549--564 (2005; Zbl 1070.65089) Full Text: DOI
Huang, Weizhang Convergence analysis of finite element solution of one-dimensional singularly perturbed differential equations on equidistributing meshes. (English) Zbl 1078.65069 Int. J. Numer. Anal. Model. 2, No. 1, 57-74 (2005). Reviewer: Nikolai L. Vulchanov (Warsaw) MSC: 65L20 65L50 65L60 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{W. Huang}, Int. J. Numer. Anal. Model. 2, No. 1, 57--74 (2005; Zbl 1078.65069)
Ramos, J. I. A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems. (English) Zbl 1067.65074 Appl. Math. Comput. 163, No. 3, 1123-1142 (2005). MSC: 65L10 34B15 34E15 PDFBibTeX XMLCite \textit{J. I. Ramos}, Appl. Math. Comput. 163, No. 3, 1123--1142 (2005; Zbl 1067.65074) Full Text: DOI
Aoki, Takashi; Kawai, Takahiro; Sasaki, Shunsuke; Shudo, Akira; Takei, Yoshitsugu Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations. (English) Zbl 1073.34098 J. Phys. A, Math. Gen. 38, No. 15, 3317-3336 (2005). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M40 34M60 34M55 34M30 34E20 PDFBibTeX XMLCite \textit{T. Aoki} et al., J. Phys. A, Math. Gen. 38, No. 15, 3317--3336 (2005; Zbl 1073.34098) Full Text: DOI arXiv
Dorey, Patrick; Millican-Slater, Adam; Tateo, Roberto Beyond the WKB approximation in \(\mathcal{PT}\)-symmetric quantum mechanics. (English) Zbl 1082.81032 J. Phys. A, Math. Gen. 38, No. 6, 1305-1331 (2005). MSC: 81Q20 34M60 PDFBibTeX XMLCite \textit{P. Dorey} et al., J. Phys. A, Math. Gen. 38, No. 6, 1305--1331 (2005; Zbl 1082.81032) Full Text: DOI arXiv
Al-Hayani, Waleed; Casasús, Luis The Adomian decomposition method in turning point problems. (English) Zbl 1062.65076 J. Comput. Appl. Math. 177, No. 1, 187-203 (2005). MSC: 65L10 34A05 PDFBibTeX XMLCite \textit{W. Al-Hayani} and \textit{L. Casasús}, J. Comput. Appl. Math. 177, No. 1, 187--203 (2005; Zbl 1062.65076) Full Text: DOI
Pokrovski, Alexis Estimates of parabolic cylinder functions on the real axis. arXiv:math/0510249 Preprint, arXiv:math/0510249 [math.CA] (2005). MSC: 34M60 34E20 BibTeX Cite \textit{A. Pokrovski}, ``Estimates of parabolic cylinder functions on the real axis'', Preprint, arXiv:math/0510249 [math.CA] (2005) Full Text: arXiv
Canova, Fabio; Ciccarelli, Matteo Forecasting and turning point predictions in a Bayesian panel VAR model. (English) Zbl 1282.62211 J. Econom. 120, No. 2, 327-359 (2004). MSC: 62M20 62P05 62P20 91B84 PDFBibTeX XMLCite \textit{F. Canova} and \textit{M. Ciccarelli}, J. Econom. 120, No. 2, 327--359 (2004; Zbl 1282.62211) Full Text: DOI
Wong, Roderick S. C. Five lectures on asymptotic theory. (English) Zbl 1130.34325 Chen, Hua (ed.) et al., Differential equations and asymptotic theory in mathematical physics. Lectures from the conference, Wuhan University, Hubei, China, October 20–29, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-055-6/hbk). Series in Analysis 2, 189-262 (2004). MSC: 34E05 33C45 33F05 34E20 34M60 39A12 41A60 81Q20 34-02 PDFBibTeX XMLCite \textit{R. S. C. Wong}, Ser. Anal. 2, 189--262 (2004; Zbl 1130.34325)
Maslov, V. P.; Shafarevich, A. I. On asymptotic solutions of nonlinear equations in the presence of turning points. (English. Russian original) Zbl 1076.35028 Differ. Equ. 40, No. 5, 736-741 (2004); translation from Differ. Uravn. 40, No. 5, 686-691 (2004). MSC: 35C20 35G20 34E20 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{A. I. Shafarevich}, Differ. Equ. 40, No. 5, 736--741 (2004; Zbl 1076.35028); translation from Differ. Uravn. 40, No. 5, 686--691 (2004) Full Text: DOI
Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Takei, Yoshitsugu On the Stokes geometry of higher order Painlevé equations. (English) Zbl 1086.34072 Loday-Richaud, Michèle (ed.), Complex analysis, dynamical systems, summability of divergent series and Galois theories. II. Volume in honor of Jean-Pierre Ramis. Proceedings of the conference, Toulouse, France, September 22–26, 2003 held on the occasion of J.-P. Ramis’ 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-168-6/pbk). Astérisque 297, 117-166 (2004). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M60 33E17 34E05 34M25 34M55 PDFBibTeX XMLCite \textit{T. Kawai} et al., Astérisque 297, 117--166 (2004; Zbl 1086.34072) Full Text: Link
Howls, C. J.; Langman, P. J.; Olde Daalhuis, A. B. On the higher-order Stokes phenomenon. (English) Zbl 1090.35054 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2048, 2285-2303 (2004). MSC: 35C20 35C15 PDFBibTeX XMLCite \textit{C. J. Howls} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2048, 2285--2303 (2004; Zbl 1090.35054) Full Text: DOI
Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu On the exact WKB analysis of microdifferential operators of WKB type. (English) Zbl 1079.34070 Ann. Inst. Fourier 54, No. 5, 1393-1421 (2004). Reviewer: J. Saurer (Regensburg) MSC: 34M60 34M25 34M35 35A27 PDFBibTeX XMLCite \textit{T. Aoki} et al., Ann. Inst. Fourier 54, No. 5, 1393--1421 (2004; Zbl 1079.34070) Full Text: DOI Numdam Numdam EuDML
Attili, B. S. Numerical computation of cusp singularities for operator equations. (English) Zbl 1069.65057 J. Dyn. Syst. Geom. Theor. 2, 57-64 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65H17 65H10 65P30 PDFBibTeX XMLCite \textit{B. S. Attili}, J. Dyn. Syst. Geom. Theor. 2, 57--64 (2004; Zbl 1069.65057) Full Text: DOI
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu The exact steepest descent method – a new steepest descent method based on the exact WKB analysis. (English) Zbl 1072.34105 Miyajima, Kimio (ed.) et al., Complex analysis in several variables – Memorial conference of Kiyoshi Oka’s centennial birthday. Papers from the conference, Kyoto, Japan, October 30–November 5, 2001 and Nara, Japan, November 6–8, 2001. Tokyo: Mathematical Society of Japan (ISBN 4-931469-27-2/hbk). Advanced Studies in Pure Mathematics 42, 45-61 (2004). Reviewer: J. Saurer (Regensburg) MSC: 34M60 34E20 PDFBibTeX XMLCite \textit{T. Aoki} et al., Adv. Stud. Pure Math. 42, 45--61 (2004; Zbl 1072.34105)
Takei, Yoshitsugu Toward the exact WKB analysis for higher-order Painlevé equations – the case of Noumi-Yamada systems. (English) Zbl 1076.34099 Publ. Res. Inst. Math. Sci. 40, No. 3, 709-730 (2004). Reviewer: J. Saurer (Regensburg) MSC: 34M60 34M55 PDFBibTeX XMLCite \textit{Y. Takei}, Publ. Res. Inst. Math. Sci. 40, No. 3, 709--730 (2004; Zbl 1076.34099) Full Text: DOI
Geronimo, Jeffrey S.; Bruno, Oscar; van Assche, Walter WKB and turning point theory for second-order difference equations. (English) Zbl 1064.39018 Janas, Jan (ed.) et al., Spectral methods for operators of mathematical physics. Proceedings of the international conference on operator theory and its applications in mathematical physics, OTAMP, Bedlewo, Poland, 2002. Basel: Birkhäuser (ISBN 3-7643-7133-1/hbk). Operator Theory: Advances and Applications 154, 101-138 (2004). MSC: 39A12 39A11 34M60 PDFBibTeX XMLCite \textit{J. S. Geronimo} et al., Oper. Theory: Adv. Appl. 154, 101--138 (2004; Zbl 1064.39018)
Nakano, Minoru On the complex WKB analysis for a second order linear O.D.E. with a many-segment characteristic polygon. (English) Zbl 1082.34081 Tokyo J. Math. 27, No. 2, 411-442 (2004). Reviewer: Masaaki Yoshida (Fukuoka) MSC: 34M60 34E20 PDFBibTeX XMLCite \textit{M. Nakano}, Tokyo J. Math. 27, No. 2, 411--442 (2004; Zbl 1082.34081) Full Text: DOI
Fedotov, Alexander; Klopp, Frédéric Geometric tools of the adiabatic complex WKB method. (English) Zbl 1070.34124 Asymptotic Anal. 39, No. 3-4, 309-357 (2004). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 34M60 34L40 PDFBibTeX XMLCite \textit{A. Fedotov} and \textit{F. Klopp}, Asymptotic Anal. 39, No. 3--4, 309--357 (2004; Zbl 1070.34124) Full Text: arXiv
Kawai, Takahiro; Takei, Yoshitsugu On WKB analysis of higher order Painlevé equations with a large parameter. (English) Zbl 1067.34088 Proc. Japan Acad., Ser. A 80, No. 5, 53-56 (2004). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 34M55 34M40 34M60 PDFBibTeX XMLCite \textit{T. Kawai} and \textit{Y. Takei}, Proc. Japan Acad., Ser. A 80, No. 5, 53--56 (2004; Zbl 1067.34088) Full Text: DOI Euclid
De Maesschalck, Peter; Dumortier, Freddy Time and entry-exit relation near a planar turning point. (English. Abridged French version) Zbl 1082.34046 C. R., Math., Acad. Sci. Paris 339, No. 5, 359-364 (2004). Reviewer: E. V. Shchetinina (Samara) MSC: 34E20 34E15 PDFBibTeX XMLCite \textit{P. De Maesschalck} and \textit{F. Dumortier}, C. R., Math., Acad. Sci. Paris 339, No. 5, 359--364 (2004; Zbl 1082.34046) Full Text: DOI
Lijun, Yang; Xianwu, Zeng Stability of singular Hopf bifurcations. (English) Zbl 1144.37437 J. Differ. Equations 206, No. 1, 30-54 (2004). Reviewer: Klaus R. Schneider (Berlin) MSC: 37G15 34C23 34E20 34C05 34D20 PDFBibTeX XMLCite \textit{Y. Lijun} and \textit{Z. Xianwu}, J. Differ. Equations 206, No. 1, 30--54 (2004; Zbl 1144.37437) Full Text: DOI
Costin, O.; Dupaigne, L.; Kruskal, M. D. Borel summation of adiabatic invariants. (English) Zbl 1059.34061 Nonlinearity 17, No. 4, 1509-1519 (2004). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M30 40G10 34M25 34M60 PDFBibTeX XMLCite \textit{O. Costin} et al., Nonlinearity 17, No. 4, 1509--1519 (2004; Zbl 1059.34061) Full Text: DOI arXiv
Olde Daalhuis, A. B. On higher-order Stokes phenomena of an inhomogeneous linear ordinary differential equation. (English) Zbl 1058.34123 J. Comput. Appl. Math. 169, No. 1, 235-246 (2004). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M40 34E05 34E20 PDFBibTeX XMLCite \textit{A. B. Olde Daalhuis}, J. Comput. Appl. Math. 169, No. 1, 235--246 (2004; Zbl 1058.34123) Full Text: DOI
Biswas, S.; Chowdhury, I. Fermion particle production in a periodic potential. (English) Zbl 1056.83031 Gen. Relativ. Gravitation 36, No. 4, 825-853 (2004). Reviewer: Andrzej Frydryszak (Wrocław) MSC: 83F05 65L06 34M60 81V17 83C47 PDFBibTeX XMLCite \textit{S. Biswas} and \textit{I. Chowdhury}, Gen. Relativ. Gravitation 36, No. 4, 825--853 (2004; Zbl 1056.83031) Full Text: DOI
Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu On the exact WKB analysis of operators admitting infinitely many phases. (English) Zbl 1056.34103 Adv. Math. 181, No. 1, 165-189 (2004). Reviewer: J. Saurer (Regensburg) MSC: 34M60 34E20 81Q20 PDFBibTeX XMLCite \textit{T. Aoki} et al., Adv. Math. 181, No. 1, 165--189 (2004; Zbl 1056.34103) Full Text: DOI
Voros, André The general 1D Schrödinger equation as an exactly solvable problem. arXiv:math-ph/0412041 Preprint, arXiv:math-ph/0412041 [math-ph] (2004). MSC: 34B24 34L05 34M37 34M60 37N20 81Q05 81Q20 BibTeX Cite \textit{A. Voros}, ``The general 1D Schr\"odinger equation as an exactly solvable problem'', Preprint, arXiv:math-ph/0412041 [math-ph] (2004) Full Text: arXiv
Harding, Don; Pagan, Adrian A comparison of two business cycle dating methods. (English) Zbl 1178.91152 J. Econ. Dyn. Control 27, No. 9, 1681-1690 (2003). MSC: 91B82 62P20 91B55 PDFBibTeX XMLCite \textit{D. Harding} and \textit{A. Pagan}, J. Econ. Dyn. Control 27, No. 9, 1681--1690 (2003; Zbl 1178.91152) Full Text: DOI
Hsu, Sze-Bi; Li, Ming-Chia; Liu, Weishi; Malkin, Mikhail Heteroclinic foliation, global oscillations for the Nicholson-Bailey model and delay of stability loss. (English) Zbl 1044.37036 Discrete Contin. Dyn. Syst. 9, No. 6, 1465-1492 (2003). Reviewer: Jörg Härterich (Berlin) MSC: 37E30 37C25 37C75 39A11 37N25 PDFBibTeX XMLCite \textit{S.-B. Hsu} et al., Discrete Contin. Dyn. Syst. 9, No. 6, 1465--1492 (2003; Zbl 1044.37036) Full Text: DOI
Lin, Ping; O’Malley, R. E. jun. The numerical solution of a challenging class of turning point problems. (English) Zbl 1147.34346 SIAM J. Sci. Comput. 25, No. 3, 927-941 (2003). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E20 65L05 34E05 PDFBibTeX XMLCite \textit{P. Lin} and \textit{R. E. O'Malley jun.}, SIAM J. Sci. Comput. 25, No. 3, 927--941 (2003; Zbl 1147.34346) Full Text: DOI
Gil, Amparo; Segura, Javier Computing the zeros and turning points of solutions of second order homogeneous linear ODEs. (English) Zbl 1056.65049 SIAM J. Numer. Anal. 41, No. 3, 827-855 (2003). Reviewer: Z. Jackiewicz (Tempe) MSC: 65H05 65L05 33F05 34A34 PDFBibTeX XMLCite \textit{A. Gil} and \textit{J. Segura}, SIAM J. Numer. Anal. 41, No. 3, 827--855 (2003; Zbl 1056.65049) Full Text: DOI
Bender, Carl M. Properties of non-Hermitian quantum field theories. (English) Zbl 1069.81030 Ann. Inst. Fourier 53, No. 4, 997-1008 (2003). MSC: 81T05 34M60 34B24 34B40 34L10 81U40 81S40 PDFBibTeX XMLCite \textit{C. M. Bender}, Ann. Inst. Fourier 53, No. 4, 997--1008 (2003; Zbl 1069.81030) Full Text: DOI Numdam EuDML Link
Buslaev, V. S. Asymptotic comparison of differential equations. (English. Russian original) Zbl 1055.34104 St. Petersbg. Math. J. 14, No. 4, 535-547 (2003); translation from Algebra Anal. 14, No. 4, 1-18 (2002). Reviewer: Dobiesław Bobrowski (Poznań) MSC: 34E20 34A30 34E10 PDFBibTeX XMLCite \textit{V. S. Buslaev}, St. Petersbg. Math. J. 14, No. 4, 1--18 (2003; Zbl 1055.34104); translation from Algebra Anal. 14, No. 4, 1--18 (2002)
Znojil, Miloslav \(\mathcal{PT}\) symmetric models in more dimensions and solvable square-well versions of their angular Schrödinger equations. (English) Zbl 1029.81020 J. Phys. A, Math. Gen. 36, No. 28, 7825-7838 (2003). Reviewer: Miloslav Znojil (Řež) MSC: 81Q05 81U05 81-08 34L16 34M15 34M60 PDFBibTeX XMLCite \textit{M. Znojil}, J. Phys. A, Math. Gen. 36, No. 28, 7825--7838 (2003; Zbl 1029.81020) Full Text: DOI arXiv
Fruchard, Augustin; Schäfke, Reinhard Overstability and resonance. (English) Zbl 1037.34047 Ann. Inst. Fourier 53, No. 1, 227-264 (2003). MSC: 34E05 34M60 PDFBibTeX XMLCite \textit{A. Fruchard} and \textit{R. Schäfke}, Ann. Inst. Fourier 53, No. 1, 227--264 (2003; Zbl 1037.34047) Full Text: DOI Numdam EuDML HAL
Samkova, G. E.; Sharaj, N. V. Investigation of a semi-explicit system of differential equations in the case of variable matrix bundle. (Russian) Zbl 1098.34582 Nelinijni Kolyvannya 5, No. 2, 224-236 (2002). Reviewer: V. I. Goncharenko (Kyïv) MSC: 34M60 34M35 PDFBibTeX XMLCite \textit{G. E. Samkova} and \textit{N. V. Sharaj}, Neliniĭni Kolyvannya 5, No. 2, 224--236 (2002; Zbl 1098.34582) Full Text: DOI
Lu, Youmin; Shao, Zhoude WKB method, uniform asymptotics and the Painlevé transcendents. (English) Zbl 1049.34110 Int. J. Differ. Equ. Appl. 5, No. 2, 171-182 (2002). MSC: 34M55 34M60 PDFBibTeX XMLCite \textit{Y. Lu} and \textit{Z. Shao}, Int. J. Differ. Equ. Appl. 5, No. 2, 171--182 (2002; Zbl 1049.34110)
Koike, Tatsuya; Takei, Yoshitsugu The effect of new Stokes curves in the exact steepest descent method. (English) Zbl 1161.34363 Kawai, Takahiro (ed.) et al., Microlocal analysis and complex Fourier analysis. River Edge, NJ: World Scientific (ISBN 981-238-161-9/hbk). 186-199 (2002). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 34M60 PDFBibTeX XMLCite \textit{T. Koike} and \textit{Y. Takei}, in: Microlocal analysis and complex Fourier analysis. River Edge, NJ: World Scientific. 186--199 (2002; Zbl 1161.34363)
Aoki, Takashi; Koike, Tatsuya; Takei, Yoshitsugu Vanishing of Stokes curves. (English) Zbl 1161.34362 Kawai, Takahiro (ed.) et al., Microlocal analysis and complex Fourier analysis. River Edge, NJ: World Scientific (ISBN 981-238-161-9/hbk). 1-22 (2002). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 34M60 PDFBibTeX XMLCite \textit{T. Aoki} et al., in: Microlocal analysis and complex Fourier analysis. River Edge, NJ: World Scientific. 1--22 (2002; Zbl 1161.34362)
Nakano, Minoru On the complex WKB analysis for a Schrödinger equation with a general three-segment characteristic polygon. (English) Zbl 1045.34062 Vietnam J. Math. 30, Spec. Issue, 605-625 (2002). Reviewer: Shun Shimomura (Yokohama) MSC: 34M60 34E20 34M30 PDFBibTeX XMLCite \textit{M. Nakano}, Vietnam J. Math. 30, 605--625 (2002; Zbl 1045.34062)
Pillay, Anand Finite-dimensional differential algebraic groups and the Picard-Vessiot theory. (English) Zbl 1036.12006 Crespo, Teresa (ed.) et al., Differential Galois theory. Proceedings of the workshop, Bȩdlewo, Poland, May 28–June 1, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 58, 189-199 (2002). Reviewer: Andy R. Magid (Norman) MSC: 12H05 34M60 PDFBibTeX XMLCite \textit{A. Pillay}, Banach Cent. Publ. 58, 189--199 (2002; Zbl 1036.12006) Full Text: DOI
Ecalle, Jean A tale of three structures: the arithmetics of multizetas, the analysis of singularities, the Lie algebra ARI. (English) Zbl 1065.11069 Braaksma, B. L. J. (ed.) et al., Differential equations and the Stokes phenomenon. Proceedings of the conference, Groningen, Netherlands, May 28–30, 2001. Singapore: World Scientific (ISBN 981-238-172-4/hbk). 89-146 (2002). MSC: 11M41 17B99 34M40 34M60 PDFBibTeX XMLCite \textit{J. Ecalle}, in: Differential equations and the Stokes phenomenon. Proceedings of the conference, Groningen, Netherlands, May 28--30, 2001. Singapore: World Scientific. 89--146 (2002; Zbl 1065.11069)
Andersson, Lennart; Frisén, Marianne Verification of turning points. (English) Zbl 1011.62041 J. Nonparametric Stat. 14, No. 5, 623-645 (2002). MSC: 62G08 62G10 62F03 PDFBibTeX XMLCite \textit{L. Andersson} and \textit{M. Frisén}, J. Nonparametric Stat. 14, No. 5, 623--645 (2002; Zbl 1011.62041) Full Text: DOI
Demetriou, I. C. Signs of divided differences yield least squares data fitting with constrained monotonicity or convexity. (English) Zbl 1019.65014 J. Comput. Appl. Math. 146, No. 2, 179-211 (2002). Reviewer: E.Deeba (Houston) MSC: 65D10 65F20 PDFBibTeX XMLCite \textit{I. C. Demetriou}, J. Comput. Appl. Math. 146, No. 2, 179--211 (2002; Zbl 1019.65014) Full Text: DOI
Kapaev, Andrei A. Monodromy deformation approach to the scaling limit of the Painlevé first equation. (English) Zbl 1029.34083 Kuznetsov, V. B. (ed.), The Kowalevski property. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 32, 157-179 (2002). Reviewer: A.Pickering (Salamanca) MSC: 34M55 34M60 34M40 34M30 PDFBibTeX XMLCite \textit{A. A. Kapaev}, in: The Kowalevski property. Providence, RI: American Mathematical Society (AMS). 157--179 (2002; Zbl 1029.34083) Full Text: arXiv
Bodine, S.; Schäfke, R. On the summability of formal solutions in Liouville-Green theory. (English) Zbl 1017.34089 J. Dyn. Control Syst. 8, No. 3, 371-398 (2002). Reviewer: V.P.Kostov (Nice, Cedex 2) MSC: 34M40 34M60 PDFBibTeX XMLCite \textit{S. Bodine} and \textit{R. Schäfke}, J. Dyn. Control Syst. 8, No. 3, 371--398 (2002; Zbl 1017.34089) Full Text: DOI
Balser, W.; Kostov, V. Singular perturbation of linear systems with a regular singularity. (English) Zbl 1020.34085 J. Dyn. Control Syst. 8, No. 3, 313-322 (2002). Reviewer: J.Saurer (Regensburg) MSC: 34M30 34M60 PDFBibTeX XMLCite \textit{W. Balser} and \textit{V. Kostov}, J. Dyn. Control Syst. 8, No. 3, 313--322 (2002; Zbl 1020.34085) Full Text: DOI
Balser, Werner; Mozo-Fernández, Jorge Multisummability of formal solutions of singular perturbation problems. (English) Zbl 1015.34080 J. Differ. Equations 183, No. 2, 526-545 (2002). Reviewer: V.P.Kostov (Nice) MSC: 34M30 34M60 PDFBibTeX XMLCite \textit{W. Balser} and \textit{J. Mozo-Fernández}, J. Differ. Equations 183, No. 2, 526--545 (2002; Zbl 1015.34080) Full Text: DOI
Takei, Yoshitsugu On an exact WKB approach to Ablowitz-Segur’s connection problem for the second Painlevé equation. (English) Zbl 1011.34080 ANZIAM J. 44, No. 1, 111-119 (2002). MSC: 34M60 34M55 PDFBibTeX XMLCite \textit{Y. Takei}, ANZIAM J. 44, No. 1, 111--119 (2002; Zbl 1011.34080) Full Text: DOI
Dewar, R. L. Asymptotology – a cautionary tale. (English) Zbl 1016.34093 ANZIAM J. 44, No. 1, 33-40 (2002). Reviewer: J.Schmeelk (Richmond) MSC: 34M60 PDFBibTeX XMLCite \textit{R. L. Dewar}, ANZIAM J. 44, No. 1, 33--40 (2002; Zbl 1016.34093) Full Text: DOI
Wong, R.; Yang, Heping On an internal boundary layer problem. (English) Zbl 1012.34049 J. Comput. Appl. Math. 144, No. 1-2, 301-323 (2002). Reviewer: P.Habets (Louvain-La-Neuve) MSC: 34E20 34B16 34B05 PDFBibTeX XMLCite \textit{R. Wong} and \textit{H. Yang}, J. Comput. Appl. Math. 144, No. 1--2, 301--323 (2002; Zbl 1012.34049) Full Text: DOI
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu Exact WKB analysis of non-adiabatic transition probabilities for three levels. (English) Zbl 1027.81010 J. Phys. A, Math. Gen. 35, No. 10, 2401-2430 (2002). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 81Q20 34E20 34M40 34M60 81Q05 PDFBibTeX XMLCite \textit{T. Aoki} et al., J. Phys. A, Math. Gen. 35, No. 10, 2401--2430 (2002; Zbl 1027.81010) Full Text: DOI
Chen, Ke; Hussein, Anwar; Wan, Hai-Bin On a class of new and practical performance indexes for approximation of fold bifurcations of nonlinear power flow equations. (English) Zbl 1004.65138 J. Comput. Appl. Math. 140, No. 1-2, 119-141 (2002). Reviewer: Boris V.Loginov (Ulyanovsk) MSC: 65P30 37G10 37M20 PDFBibTeX XMLCite \textit{K. Chen} et al., J. Comput. Appl. Math. 140, No. 1--2, 119--141 (2002; Zbl 1004.65138) Full Text: DOI
Samarin, V. V.; Samarina, S. M. A regularized semiclassical approximation for quantum mechanics. (English. Russian original) Zbl 1029.81033 Comput. Math. Math. Phys. 41, No. 7, 1047-1053 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 7, 1099-1105 (2001). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 81Q20 34E20 81Q05 65L06 33C10 PDFBibTeX XMLCite \textit{V. V. Samarin} and \textit{S. M. Samarina}, Comput. Math. Math. Phys. 41, No. 7, 1047--1053 (2001; Zbl 1029.81033); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 7, 1099--1105 (2001)
Ouahsine, Abdellatif Vertical structure of long ocean waves in presence of turning-points. (Structure verticale des ondes longues océaniques en présence de points tournants.) (French. Abridged English version) Zbl 1128.76312 C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. 329, No. 2, 109-115 (2001). MSC: 76B15 PDFBibTeX XMLCite \textit{A. Ouahsine}, C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. 329, No. 2, 109--115 (2001; Zbl 1128.76312) Full Text: DOI
Matzinger, Éric Study of superstable solutions of the van der Pol equation. (Études des solutions surstables de l’équation de van der Pol.) (French) Zbl 1077.34060 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 10, No. 4, 713-744 (2001). MSC: 34E15 34A25 34M60 PDFBibTeX XMLCite \textit{É. Matzinger}, Ann. Fac. Sci. Toulouse, Math. (6) 10, No. 4, 713--744 (2001; Zbl 1077.34060) Full Text: DOI Numdam EuDML
Tumanov, S. N. Asymptotic formulae for the real eigenvalues of the Sturm-Liouville problem with two turning points. (English. Russian original) Zbl 1036.34096 Izv. Math. 65, No. 5, 1003-1016 (2001); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 65, No. 5, 153-166 (2001). MSC: 34L20 PDFBibTeX XMLCite \textit{S. N. Tumanov}, Izv. Math. 65, No. 5, 1003--1016 (2001; Zbl 1036.34096); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 65, No. 5, 153--166 (2001) Full Text: DOI
Kazakov, A. Ya. Coalescence of two regular singularities into one regular singularity for the linear ordinary differential equation. (English) Zbl 1028.34078 J. Dyn. Control Syst. 7, No. 1, 127-149 (2001). Reviewer: Yuefei Wang (Beijing) MSC: 34M05 34M35 34E20 34M60 PDFBibTeX XMLCite \textit{A. Ya. Kazakov}, J. Dyn. Control Syst. 7, No. 1, 127--149 (2001; Zbl 1028.34078) Full Text: DOI
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu The connection formula related to linear ordinary differential equation systems and its applications—calculation of nonadiabatic transition probability by using complete WKB analysis. (Japanese) Zbl 0991.34513 RIMS Kokyuroku 1239, 53-68 (2001). MSC: 34E20 34M60 PDFBibTeX XMLCite \textit{T. Aoki} et al., RIMS Kokyuroku 1239, 53--68 (2001; Zbl 0991.34513)
Dorey, Patrick; Dunning, Clare; Tateo, Roberto The ODE/IM correspondence. (English) Zbl 1002.82011 Ahn, Changrim (ed.) et al., Integrable quantum field theories and their applications. Proceedings of the APCTP winter school, Cheju Island, Republic of Korea, February 28-March 4, 2000. Singapore: World Scientific. 74-107 (2001). MSC: 82B23 34M60 81V70 PDFBibTeX XMLCite \textit{P. Dorey} et al., in: Integrable quantum field theories and their applications. Proceedings of the APCTP winter school, Cheju Island, Republic of Korea, February 28--March 4, 2000. Singapore: World Scientific. 74--107 (2001; Zbl 1002.82011) Full Text: arXiv
Shishkin, G. I. Grid approximations to singularly perturbed parabolic equations with turning points. (English. Russian original) Zbl 0998.65085 Differ. Equ. 37, No. 7, 1037-1050 (2001); translation from Differ. Uravn. 37, No. 7, 987-999 (2001). Reviewer: Z.Dżygadło (Warszawa) MSC: 65M06 35K65 35B25 PDFBibTeX XMLCite \textit{G. I. Shishkin}, Differ. Equ. 37, No. 7, 1037--1050 (2001; Zbl 0998.65085); translation from Differ. Uravn. 37, No. 7, 987--999 (2001) Full Text: DOI
Nakano, Minoru On the complex WKB method for a secondary turning point problem. (English) Zbl 1004.34042 Tokyo J. Math. 24, No. 2, 343-358 (2001). Reviewer: J.Saurer (Regensburg) MSC: 34E20 34E05 34M60 PDFBibTeX XMLCite \textit{M. Nakano}, Tokyo J. Math. 24, No. 2, 343--358 (2001; Zbl 1004.34042) Full Text: DOI
Luongo, Angelo Mode localization in dynamics and buckling of linear imperfect continuous structures. (English) Zbl 1021.74017 Nonlinear Dyn. 25, No. 1-3, 133-156 (2001). Reviewer: Teodor Atanackovic (Novi Sad) MSC: 74H45 74G60 74H55 74K10 PDFBibTeX XMLCite \textit{A. Luongo}, Nonlinear Dyn. 25, No. 1--3, 133--156 (2001; Zbl 1021.74017) Full Text: DOI
Fedotov, Alexander; Klopp, Frédéric A complex WKB method for adiabatic problems. (English) Zbl 1001.34082 Asymptotic Anal. 27, No. 3-4, 219-264 (2001). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 34M60 81Q20 34M30 PDFBibTeX XMLCite \textit{A. Fedotov} and \textit{F. Klopp}, Asymptotic Anal. 27, No. 3--4, 219--264 (2001; Zbl 1001.34082)
Zaturska, M. B.; Banks, W. H. H. A new solution branch of the Falkner-Skan equation. (English) Zbl 0992.76027 Acta Mech. 152, No. 1-4, 197-201 (2001). MSC: 76D10 PDFBibTeX XMLCite \textit{M. B. Zaturska} and \textit{W. H. H. Banks}, Acta Mech. 152, No. 1--4, 197--201 (2001; Zbl 0992.76027) Full Text: DOI
Benoît, Éric Perturbation singulière en dimension trois : Canards en un point pseudo-singulier nœud. (Singular perturbation, tridimensional case: canards on a pseudo-singular node point). (French) Zbl 0992.34072 Bull. Soc. Math. Fr. 129, No. 1, 91-113 (2001). MSC: 34M60 34E15 34M30 34E05 34C20 34E20 PDFBibTeX XMLCite \textit{É. Benoît}, Bull. Soc. Math. Fr. 129, No. 1, 91--113 (2001; Zbl 0992.34072) Full Text: DOI Link
Handy, C. R. New perspectives in moment-wavelet analysis from quantum operator theory: scalets and local quantization. (English) Zbl 1161.81377 N’Guérékata, Gaston M. (ed.) et al., Council for African American Researchers in the mathematical sciences. Volume IV. Sixth conference for African American Researchers in the mathematical sciences, Morgan State University, Baltimore, MD, USA, June 27–30, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2793-6/pbk). Contemp. Math. 284, 59-102 (2001). MSC: 81Q99 34M60 42C40 44A60 PDFBibTeX XMLCite \textit{C. R. Handy}, Contemp. Math. 284, 59--102 (2001; Zbl 1161.81377)
Eberhard, Walter; Freiling, Gerhard; Wilcken-Stoeber, Kerstin Indefinite eigenvalue problems with several singular points and turning points. (English) Zbl 0996.34067 Math. Nachr. 229, 51-71 (2001). Reviewer: Brian D.Sleeman (Leeds) MSC: 34L20 34B24 34B27 34L10 PDFBibTeX XMLCite \textit{W. Eberhard} et al., Math. Nachr. 229, 51--71 (2001; Zbl 0996.34067) Full Text: DOI
Tsuchiya, Takuya Finite element analysis for parametrized nonlinear equations around turning points. (English) Zbl 0986.65111 J. Comput. Appl. Math. 132, No. 2, 255-276 (2001). Reviewer: Karel Najzar (Praha) MSC: 65N30 65N25 35J65 35P30 65N15 PDFBibTeX XMLCite \textit{T. Tsuchiya}, J. Comput. Appl. Math. 132, No. 2, 255--276 (2001; Zbl 0986.65111) Full Text: DOI
Jiang, Furu; Jin, Qinian Asymptotic solutions to boundary value problems for third-order ordinary differential equations with turning points. (English) Zbl 0995.34043 Appl. Math. Mech., Engl. Ed. 22, No. 4, 394-403 (2001). Reviewer: Vladimir Răsvan (Craiova) MSC: 34E05 34E20 34B05 PDFBibTeX XMLCite \textit{F. Jiang} and \textit{Q. Jin}, Appl. Math. Mech., Engl. Ed. 22, No. 4, 394--403 (2001; Zbl 0995.34043) Full Text: DOI