Tursunov, D. A. Asymptotic expansion of the solution of a singularly perturbed ordinary second-order differential equation with two turning points. (Russian. English summary) Zbl 07607386 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2013, No. 1(21), 34-40 (2013). MSC: 34-XX 65-XX PDFBibTeX XMLCite \textit{D. A. Tursunov}, Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2013, No. 1(21), 34--40 (2013; Zbl 07607386) Full Text: MNR
Bizhanova, G. I. Estimates of the solution of the two-phase singularly perturbed problem for the parabolic equations. I. (English) Zbl 1488.35280 Mat. Zh. 13, No. 2, 31-49 (2013). MSC: 35K20 35B25 35C05 PDFBibTeX XMLCite \textit{G. I. Bizhanova}, Mat. Zh. 13, No. 2, 31--49 (2013; Zbl 1488.35280)
Antipov, Y. A.; Smirnov, A. V. Subsonic propagation of a crack parallel to the boundary of a half-plane. (English) Zbl 1528.74094 Math. Mech. Solids 18, No. 2, 153-167 (2013). MSC: 74R10 74H10 45F15 30E25 PDFBibTeX XMLCite \textit{Y. A. Antipov} and \textit{A. V. Smirnov}, Math. Mech. Solids 18, No. 2, 153--167 (2013; Zbl 1528.74094) Full Text: DOI
Vahid-Araghi, Orang; Golnaraghi, Farid A sliding mode vibration controller for lead screw drives. (English) Zbl 1349.93188 J. Vib. Control 19, No. 2, 276-293 (2013). MSC: 93C10 93D20 34C29 PDFBibTeX XMLCite \textit{O. Vahid-Araghi} and \textit{F. Golnaraghi}, J. Vib. Control 19, No. 2, 276--293 (2013; Zbl 1349.93188) Full Text: DOI
Tarasenko, O. V. An optimal control problem for a singular perturbed system of differential equations in the case of multiple spectrum of the main operator. (Ukrainian) Zbl 1350.49025 Din. Sist., Simferopol’ 3(31), No. 3-4, 289-308 (2013). MSC: 49K15 93C70 49J15 93C15 PDFBibTeX XMLCite \textit{O. V. Tarasenko}, Din. Sist., Simferopol' 3(31), No. 3--4, 289--308 (2013; Zbl 1350.49025)
Zhang, Wen-Zhi; Huang, Pei-Yan Precise integration method for a class of singular two-point boundary value problems. (English) Zbl 1345.65052 Acta Mech. Sin. 29, No. 2, 233-240 (2013). MSC: 65L10 PDFBibTeX XMLCite \textit{W.-Z. Zhang} and \textit{P.-Y. Huang}, Acta Mech. Sin. 29, No. 2, 233--240 (2013; Zbl 1345.65052) Full Text: DOI
Kaushik, Aditya Iterative analytic approximation to nonlinear convection dominated systems. (English) Zbl 1344.76072 Comput. Phys. Commun. 184, No. 9, 2061-2069 (2013). MSC: 76M45 76R99 PDFBibTeX XMLCite \textit{A. Kaushik}, Comput. Phys. Commun. 184, No. 9, 2061--2069 (2013; Zbl 1344.76072) Full Text: DOI
Kourdis, Panayotis D.; Palasantza, Athanasia G.; Goussis, Dimitris A. Algorithmic asymptotic analysis of the NF-\(\kappa\mathrm B\) signaling system. (English) Zbl 1339.92027 Comput. Math. Appl. 65, No. 10, 1516-1534 (2013). MSC: 92C42 92C40 PDFBibTeX XMLCite \textit{P. D. Kourdis} et al., Comput. Math. Appl. 65, No. 10, 1516--1534 (2013; Zbl 1339.92027) Full Text: DOI
Wang, Xiaoyun; Wang, Li; Wu, Yunjin Novel results for a class of singular perturbed slow-fast system. (English) Zbl 1341.34016 Appl. Math. Comput. 225, 795-806 (2013). MSC: 34A45 34A30 34E15 34A12 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Comput. 225, 795--806 (2013; Zbl 1341.34016) Full Text: DOI
O’Malley, Robert E. jun. Book review of: A. Fruchard and R. Schäfke, Composite asymptotic expansions. (English) Zbl 1334.00054 SIAM Rev. 55, No. 3, 588 (2013). MSC: 00A17 34-02 34Exx 34M30 34M60 41A60 PDFBibTeX XMLCite \textit{R. E. O'Malley jun.}, SIAM Rev. 55, No. 3, 588 (2013; Zbl 1334.00054) Full Text: DOI
Yüzbaşı, Şuayip; Şahin, Niyazi Numerical solutions of singularly perturbed one-dimensional parabolic convection-diffusion problems by the Bessel collocation method. (English) Zbl 1329.65242 Appl. Math. Comput. 220, 305-315 (2013). MSC: 65M70 65L60 PDFBibTeX XMLCite \textit{Ş. Yüzbaşı} and \textit{N. Şahin}, Appl. Math. Comput. 220, 305--315 (2013; Zbl 1329.65242) Full Text: DOI
Vulanović, Relja; Teofanov, Ljiljana A modification of the Shishkin discretization mesh for one-dimensional reaction-diffusion problems. (English) Zbl 1329.65168 Appl. Math. Comput. 220, 104-116 (2013). MSC: 65L50 65L10 65L11 PDFBibTeX XMLCite \textit{R. Vulanović} and \textit{L. Teofanov}, Appl. Math. Comput. 220, 104--116 (2013; Zbl 1329.65168) Full Text: DOI
Phaneendra, K.; Soujanya, Gbsl.; Reddy, Y. N. Numerical integration method for singular perturbation delay differential equations with layer or oscillatory behaviour. (English) Zbl 06496582 Appl. Comput. Math. 12, No. 2, 211-221 (2013). MSC: 65L11 PDFBibTeX XMLCite \textit{K. Phaneendra} et al., Appl. Comput. Math. 12, No. 2, 211--221 (2013; Zbl 06496582) Full Text: Link
Franca, Matteo Bifurcation diagrams for singularly perturbed system: the multi-dimensional case. (English) Zbl 1340.34198 Electron. J. Qual. Theory Differ. Equ. 2013, Paper No. 52, 36 p. (2013). MSC: 34E15 34C23 34C45 34C37 37G10 PDFBibTeX XMLCite \textit{M. Franca}, Electron. J. Qual. Theory Differ. Equ. 2013, Paper No. 52, 36 p. (2013; Zbl 1340.34198) Full Text: DOI Link
Zadorin, A. I.; Tikhovskaya, S. V. A two-grid method for a nonlinear singular perturbation boundary value problem on the Shishkin scheme. (Russian) Zbl 1340.65150 Sib. Zh. Ind. Mat. 16, No. 1, 42-55 (2013). MSC: 65L11 65L12 65L50 65L06 34B15 34E15 65L10 PDFBibTeX XMLCite \textit{A. I. Zadorin} and \textit{S. V. Tikhovskaya}, Sib. Zh. Ind. Mat. 16, No. 1, 42--55 (2013; Zbl 1340.65150) Full Text: MNR
Teolis, Anthony FM perturbations due to near-identity linear systems. (English) Zbl 1316.94033 Andrews, Travis D. (ed.) et al., Excursions in harmonic analysis. Volume 1. The February Fourier Talks at the Norbert Wiener Center, College Park, MD, USA, 2006–2011. New York, NY: Birkhäuser/Springer (ISBN 978-0-8176-8375-7/hbk; 978-0-8176-8376-4/ebook). Applied and Numerical Harmonic Analysis, 399-431 (2013). MSC: 94A14 94A12 41A35 PDFBibTeX XMLCite \textit{A. Teolis}, in: Excursions in harmonic analysis. Volume 1. The February Fourier Talks at the Norbert Wiener Center, College Park, MD, USA, 2006--2011. New York, NY: Birkhäuser/Springer. 399--431 (2013; Zbl 1316.94033) Full Text: DOI
Boros, Nicholas; Székelyhidi, László jun.; Volberg, Alexander Laminates meet Burkholder functions. (English. French summary) Zbl 1320.42010 J. Math. Pures Appl. (9) 100, No. 5, 687-700 (2013). MSC: 42B20 47A55 60G46 PDFBibTeX XMLCite \textit{N. Boros} et al., J. Math. Pures Appl. (9) 100, No. 5, 687--700 (2013; Zbl 1320.42010) Full Text: DOI arXiv
Tyagi, Hemant; Vural, Elif; Frossard, Pascal Tangent space estimation for smooth embeddings of Riemannian manifolds. (English) Zbl 1311.94019 Inf. Inference 2, No. 1, 69-114 (2013). MSC: 94A12 68T05 62H25 62-07 62D05 94A20 PDFBibTeX XMLCite \textit{H. Tyagi} et al., Inf. Inference 2, No. 1, 69--114 (2013; Zbl 1311.94019) Full Text: DOI arXiv
Koshmanenko, V. D.; Dudkin, M. E. Method of equipped spaces in the theory of singular perturbations of self-adjoint operators. (Метод оснащених просторів у теорії сингулярних збурень самоспряжених операторів.) (Ukrainian) Zbl 1324.47001 Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya 96. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 978-966-02-6847-0). 320 p. (2013). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 47-02 47A55 47A70 47B25 46C05 81Q10 34L40 PDFBibTeX XMLCite \textit{V. D. Koshmanenko} and \textit{M. E. Dudkin}, Метод оснащених просторів у теорії сингулярних збурень самоспряжених операторів (Ukrainian). Kyïv: Instytut Matematyky NAN Ukraïny (2013; Zbl 1324.47001)
Tao, Ran; Wu, Zhen; Zhang, Qing BSDEs with regime switching: weak convergence and applications. (English) Zbl 1306.60080 J. Math. Anal. Appl. 407, No. 1, 97-111 (2013). MSC: 60H10 60J27 PDFBibTeX XMLCite \textit{R. Tao} et al., J. Math. Anal. Appl. 407, No. 1, 97--111 (2013; Zbl 1306.60080) Full Text: DOI
Kirrou, Ilham; Belhaq, Mohamed Effect of contact stiffness modulation in contact-mode AFM under subharmonic excitation. (English) Zbl 1308.74115 Commun. Nonlinear Sci. Numer. Simul. 18, No. 10, 2916-2925 (2013). MSC: 74M15 34C15 34D15 PDFBibTeX XMLCite \textit{I. Kirrou} and \textit{M. Belhaq}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 10, 2916--2925 (2013; Zbl 1308.74115) Full Text: DOI
Golovaty, Yu. D.; Hut, V. M. Asymptotics of the spectrum of inhomogeneous plate with light-weight stiff inclusions. (Russian. English summary) Zbl 1305.74055 Mat. Stud. 40, No. 1, 79-94 (2013). MSC: 74K20 47A25 47A55 65L15 34G99 PDFBibTeX XMLCite \textit{Yu. D. Golovaty} and \textit{V. M. Hut}, Mat. Stud. 40, No. 1, 79--94 (2013; Zbl 1305.74055)
Hafayed, Mokhtar A mean-field necessary and sufficient conditions for optimal singular stochastic control. (English) Zbl 1306.93076 Commun. Math. Stat. 1, No. 4, 417-435 (2013). MSC: 93E20 60H10 49K45 49N10 PDFBibTeX XMLCite \textit{M. Hafayed}, Commun. Math. Stat. 1, No. 4, 417--435 (2013; Zbl 1306.93076) Full Text: DOI
Sharma, Kapil K.; Rai, Pratima; Patidar, Kailash C. A review on singularly perturbed differential equations with turning points and interior layers. (English) Zbl 1302.34087 Appl. Math. Comput. 219, No. 22, 10575-10609 (2013). MSC: 34E15 34E20 65L11 PDFBibTeX XMLCite \textit{K. K. Sharma} et al., Appl. Math. Comput. 219, No. 22, 10575--10609 (2013; Zbl 1302.34087) Full Text: DOI
Lu, Haibo; Ni, Mingkang; Wu, Limeng Geometric singular perturbation approach to singular singularly perturbed systems. (Chinese. English summary) Zbl 1313.34168 J. East China Norm. Univ., Nat. Sci. Ed. 2013, No. 3, 140-148 (2013). MSC: 34E15 34B15 34C45 PDFBibTeX XMLCite \textit{H. Lu} et al., J. East China Norm. Univ., Nat. Sci. Ed. 2013, No. 3, 140--148 (2013; Zbl 1313.34168) Full Text: DOI
Maaita, J. O.; Meletlidou, E.; Vakakis, A. F.; Rothos, V. The effect of slow flow dynamics on the oscillations of a singular damped system with an essentially nonlinear attachment. (English) Zbl 1302.34086 J. Appl. Nonlinear Dyn. 2, No. 4, 315-328 (2013). MSC: 34E13 34C15 34C45 34E15 PDFBibTeX XMLCite \textit{J. O. Maaita} et al., J. Appl. Nonlinear Dyn. 2, No. 4, 315--328 (2013; Zbl 1302.34086) Full Text: DOI
Alexandrov, Sergei; Mustafa, Yusof Singular solutions in viscoplasticity under plane strain conditions. (English) Zbl 1293.74040 Meccanica 48, No. 9, 2203-2208 (2013). MSC: 74C10 74G70 74G10 PDFBibTeX XMLCite \textit{S. Alexandrov} and \textit{Y. Mustafa}, Meccanica 48, No. 9, 2203--2208 (2013; Zbl 1293.74040) Full Text: DOI
Kadalbajoo, Mohan K.; Jha, Anuradha A posteriori error analysis for defect correction method for two parameter singular perturbation problems. (English) Zbl 1300.65057 J. Appl. Math. Comput. 42, No. 1-2, 421-440 (2013). Reviewer: Srinivasan Natesan (Assam) MSC: 65L70 65L12 65L50 65L11 34E15 34B05 65L10 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{A. Jha}, J. Appl. Math. Comput. 42, No. 1--2, 421--440 (2013; Zbl 1300.65057) Full Text: DOI
Fontolan, Lorenzo; Krupa, Maciej; Hyafil, Alexandre; Gutkin, Boris Analytical insights on theta-gamma coupled neural oscillators. (English) Zbl 1291.92034 J. Math. Neurosci. 3, Paper No. 16, 20 p. (2013). MSC: 92C20 PDFBibTeX XMLCite \textit{L. Fontolan} et al., J. Math. Neurosci. 3, Paper No. 16, 20 p. (2013; Zbl 1291.92034) Full Text: DOI
Poliakovsky, Arkady On the \(\Gamma \)-limit of singular perturbation problems with optimal profiles which are not one-dimensional. I: The upper bound. (English) Zbl 1299.35046 Differ. Integral Equ. 26, No. 9-10, 1179-1234 (2013). MSC: 35B40 35B27 76D07 76S05 PDFBibTeX XMLCite \textit{A. Poliakovsky}, Differ. Integral Equ. 26, No. 9--10, 1179--1234 (2013; Zbl 1299.35046) Full Text: arXiv
Shi, Qihong Uniqueness of solutions and energy decay for the nonlinear KGS system. (Chinese. English summary) Zbl 1299.35298 Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 5, 842-849 (2013). MSC: 35Q70 35B25 35B40 PDFBibTeX XMLCite \textit{Q. Shi}, Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 5, 842--849 (2013; Zbl 1299.35298)
Wang, Danfeng; Liu, Shude; Qin, Zhaona Multi-solutions of singularly perturbed semi-linear Robin problems. (Chinese. English summary) Zbl 1299.34204 J. Math. Study 46, No. 4, 395-405 (2013). MSC: 34E15 34B15 34E05 PDFBibTeX XMLCite \textit{D. Wang} et al., J. Math. Study 46, No. 4, 395--405 (2013; Zbl 1299.34204)
Diab, Zouhair; Makhlouf, Amar Limit cycles to a four-dimensional linear center. (English) Zbl 1299.34107 Ann. Differ. Equations 29, No. 4, 399-405 (2013). MSC: 34C05 34C29 34E10 PDFBibTeX XMLCite \textit{Z. Diab} and \textit{A. Makhlouf}, Ann. Differ. Equations 29, No. 4, 399--405 (2013; Zbl 1299.34107)
Xie, Feng; Hu, Pan Singularly perturbed quasilinear boundary value problems with discontinuous coefficients. (English) Zbl 1299.34205 Commun. Appl. Math. Comput. 27, No. 4, 522-532 (2013). MSC: 34E15 34B16 34E05 PDFBibTeX XMLCite \textit{F. Xie} and \textit{P. Hu}, Commun. Appl. Math. Comput. 27, No. 4, 522--532 (2013; Zbl 1299.34205)
Zhou, Shuo; Han, Minghua; Ji, Benming An inverse generalized eigenvalue problem for generalized reflexive matrices under a submatrix constraint. (Chinese. English summary) Zbl 1299.15014 J. Jilin Univ., Sci. 51, No. 6, 1029-1036 (2013). MSC: 15A18 15A29 PDFBibTeX XMLCite \textit{S. Zhou} et al., J. Jilin Univ., Sci. 51, No. 6, 1029--1036 (2013; Zbl 1299.15014)
Qin, Zhaona; Yao, Jingsun Singular perturbation problems of second-order nonlinear equations with locally weak stable reduced solutions. (Chinese. English summary) Zbl 1299.34202 J. Jilin Univ., Sci. 51, No. 5, 819-825 (2013). MSC: 34E15 34A40 34B15 34E05 PDFBibTeX XMLCite \textit{Z. Qin} and \textit{J. Yao}, J. Jilin Univ., Sci. 51, No. 5, 819--825 (2013; Zbl 1299.34202)
Boglaev, Igor Uniform quadratic convergence of a monotone weighted average method for semilinear singularly perturbed parabolic problems. (English) Zbl 1299.65210 J. Comput. Math. 31, No. 6, 620-637 (2013). MSC: 65M12 65M06 35B25 35K58 PDFBibTeX XMLCite \textit{I. Boglaev}, J. Comput. Math. 31, No. 6, 620--637 (2013; Zbl 1299.65210) Full Text: DOI Link
Rao, S. Chandra Sekhara; Kumar, Sunil Robust high order convergence of an overlapping Schwarz method for singularly perturbed semilinear reaction-diffusion problems. (English) Zbl 1299.65213 J. Comput. Math. 31, No. 5, 509-521 (2013). MSC: 65M12 35K57 35B25 35K58 65M55 PDFBibTeX XMLCite \textit{S. C. S. Rao} and \textit{S. Kumar}, J. Comput. Math. 31, No. 5, 509--521 (2013; Zbl 1299.65213) Full Text: DOI
Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong Finite volume superconvergence approximation for one-dimensional singularly perturbed problems. (English) Zbl 1299.65152 J. Comput. Math. 31, No. 5, 488-508 (2013). MSC: 65L11 65L10 65L20 65L60 65L50 34B15 34E15 PDFBibTeX XMLCite \textit{W. Cao} et al., J. Comput. Math. 31, No. 5, 488--508 (2013; Zbl 1299.65152) Full Text: DOI Link
Yin, Yunhui; Zhu, Peng; Yang, Yubo A streamline-diffusion finite element approximation on Bakhvalov-Shishkin mesh for singularly perturbed problems. (Chinese. English summary) Zbl 1299.65157 Math. Numer. Sin. 35, No. 4, 365-376 (2013). MSC: 65L11 65L10 65L50 34B15 34E15 65L20 PDFBibTeX XMLCite \textit{Y. Yin} et al., Math. Numer. Sin. 35, No. 4, 365--376 (2013; Zbl 1299.65157)
Yin, Yunhui; Zhu, Peng; Yang, Yubo Finite element superconvergence on Bakhvalov-Shishkin mesh for singularly perturbed problems. (Chinese. English summary) Zbl 1299.65156 J. Numer. Methods Comput. Appl. 34, No. 4, 257-265 (2013). MSC: 65L11 65L10 65L50 34B15 34E15 65L20 PDFBibTeX XMLCite \textit{Y. Yin} et al., J. Numer. Methods Comput. Appl. 34, No. 4, 257--265 (2013; Zbl 1299.65156)
Zhou, Kehao; Yao, Jingsun; Qin, Zhaona The angular layer phenomena for a class of singularly perturbed nonlinear boundary value problems. (English) Zbl 1299.34207 Math. Appl. 26, No. 4, 881-887 (2013). MSC: 34E15 34B15 34A40 34E05 PDFBibTeX XMLCite \textit{K. Zhou} et al., Math. Appl. 26, No. 4, 881--887 (2013; Zbl 1299.34207)
Zhou, Kehao; Chen, Wen Singularly perturbed Robin boundary value problems for quasilinear differential equations with two parameters. (English) Zbl 1299.34206 J. Math. Study 46, No. 3, 233-241 (2013). MSC: 34E15 34B15 34B08 34A40 34E05 PDFBibTeX XMLCite \textit{K. Zhou} and \textit{W. Chen}, J. Math. Study 46, No. 3, 233--241 (2013; Zbl 1299.34206)
Feng, Yihu; Liu, Shude The joint method in singularly perturbed boundary value problems. (Chinese. English summary) Zbl 1299.34201 J. Anhui Norm. Univ., Nat. Sci. 36, No. 4, 326-329 (2013). MSC: 34E15 34B15 34E05 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{S. Liu}, J. Anhui Norm. Univ., Nat. Sci. 36, No. 4, 326--329 (2013; Zbl 1299.34201)
Tang, Rongrong A class of nonlinear problems with perturbation both in boundary and interior points. (English) Zbl 1299.34203 Adv. Math., Beijing 42, No. 1, 89-94 (2013). MSC: 34E15 34B15 34A40 34E05 PDFBibTeX XMLCite \textit{R. Tang}, Adv. Math., Beijing 42, No. 1, 89--94 (2013; Zbl 1299.34203)
Priyadharshini, Rajarammohanroy Mythili; Ramanujam, Narashimhan Uniformly-convergent numerical methods for a system of coupled singularly perturbed convection–diffusion equations with mixed type boundary conditions. (English) Zbl 1293.65108 Math. Model. Anal. 18, No. 5, 577-598 (2013). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L20 65L10 65L12 65L70 65L11 65L50 34B15 34E15 PDFBibTeX XMLCite \textit{R. M. Priyadharshini} and \textit{N. Ramanujam}, Math. Model. Anal. 18, No. 5, 577--598 (2013; Zbl 1293.65108) Full Text: DOI
Wechselberger, Martin; Mitry, John; Rinzel, John Canard theory and excitability. (English) Zbl 1319.34114 Kloeden, Peter E. (ed.) et al., Nonautonomous dynamical systems in the life sciences. Cham: Springer (ISBN 978-3-319-03079-1/pbk; 978-3-319-03080-7/ebook). Lecture Notes in Mathematics 2102. Mathematical Biosciences Subseries, 89-132 (2013). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 34E17 34E20 37B55 34C23 92C20 PDFBibTeX XMLCite \textit{M. Wechselberger} et al., Lect. Notes Math. 2102, 89--132 (2013; Zbl 1319.34114) Full Text: DOI
Chang, Jeang-Lin; Wu, Tsui-Chou Disturbance observer based dynamic output feedback controller design for linear uncertain systems. (English) Zbl 1286.93074 Asian J. Control 15, No. 5, 1261-1269 (2013). MSC: 93B52 93C70 93B07 93C41 93C05 93C15 PDFBibTeX XMLCite \textit{J.-L. Chang} and \textit{T.-C. Wu}, Asian J. Control 15, No. 5, 1261--1269 (2013; Zbl 1286.93074) Full Text: DOI
Razafindralandy, Dina; Hamdouni, Aziz Time integration algorithm based on divergent series resummation, for ordinary and partial differential equations. (English) Zbl 1286.76123 J. Comput. Phys. 236, 56-73 (2013). MSC: 76M45 40G10 PDFBibTeX XMLCite \textit{D. Razafindralandy} and \textit{A. Hamdouni}, J. Comput. Phys. 236, 56--73 (2013; Zbl 1286.76123) Full Text: DOI HAL
Bindel, David; Hood, Amanda Localization theorems for nonlinear eigenvalue problems. (English) Zbl 1297.15021 SIAM J. Matrix Anal. Appl. 34, No. 4, 1728-1749 (2013). Reviewer: Frank Uhlig (Auburn) MSC: 15A42 15A18 15A60 30E10 65F15 65H17 PDFBibTeX XMLCite \textit{D. Bindel} and \textit{A. Hood}, SIAM J. Matrix Anal. Appl. 34, No. 4, 1728--1749 (2013; Zbl 1297.15021) Full Text: DOI arXiv
Danilin, A. R.; Kovrizhnykh, O. O. Asymptotic representation of a solution to a singular perturbation linear time-optimal problem. (English. Russian original) Zbl 1286.49004 Proc. Steklov Inst. Math. 281, Suppl. 1, S22-S35 (2013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 2, 67-79 (2012). MSC: 49J15 34H05 93C70 93C05 93C15 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{O. O. Kovrizhnykh}, Proc. Steklov Inst. Math. 281, S22--S35 (2013; Zbl 1286.49004); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 2, 67--79 (2012) Full Text: DOI
Chiba, Hayato Reduction of weakly nonlinear parabolic partial differential equations. (English) Zbl 1288.35300 J. Math. Phys. 54, No. 10, 101501, 34 p. (2013). MSC: 35K58 35Q56 PDFBibTeX XMLCite \textit{H. Chiba}, J. Math. Phys. 54, No. 10, 101501, 34 p. (2013; Zbl 1288.35300) Full Text: DOI arXiv
Liu, Nai-Wei; Kong, Ting-Ting Persistence of traveling wave solutions in a bio-reactor model with strong generic delay kernels and nonlocal effect. (English) Zbl 1288.35168 Electron. J. Differ. Equ. 2013, Paper No. 87, 11 p. (2013). MSC: 35C07 35K57 34C37 92D25 35B25 PDFBibTeX XMLCite \textit{N.-W. Liu} and \textit{T.-T. Kong}, Electron. J. Differ. Equ. 2013, Paper No. 87, 11 p. (2013; Zbl 1288.35168) Full Text: EMIS
Nie, Linfei; Teng, Zhidong Singular perturbation method for global stability of ratio-dependent predator-prey models with stage structure for the prey. (English) Zbl 1287.39012 Electron. J. Differ. Equ. 2013, Paper No. 86, 9 p. (2013). MSC: 39A30 39A12 92D25 PDFBibTeX XMLCite \textit{L. Nie} and \textit{Z. Teng}, Electron. J. Differ. Equ. 2013, Paper No. 86, 9 p. (2013; Zbl 1287.39012) Full Text: EMIS
Kumar, Devendra A computational technique for solving boundary value problem with two small parameters. (English) Zbl 1287.65054 Electron. J. Differ. Equ. 2013, Paper No. 30, 10 p. (2013). MSC: 65L03 65L10 65L11 65L12 34K10 34K26 PDFBibTeX XMLCite \textit{D. Kumar}, Electron. J. Differ. Equ. 2013, Paper No. 30, 10 p. (2013; Zbl 1287.65054) Full Text: EMIS
Tafintseva, Valeriya; Ponosov, Arcady Nonlinear perturbations of piecewise-linear systems with delay and applications to gene regulatory networks. (English) Zbl 1290.34081 Electron. J. Differ. Equ. 2013, Paper No. 24, 32 p. (2013). MSC: 34K60 34K07 34K26 92B20 92D10 PDFBibTeX XMLCite \textit{V. Tafintseva} and \textit{A. Ponosov}, Electron. J. Differ. Equ. 2013, Paper No. 24, 32 p. (2013; Zbl 1290.34081) Full Text: EMIS
Zhang, Wen-zhi; Huang, Pei-yan High order multiplication perturbation method for singular perturbation problems. (English) Zbl 1284.76321 Appl. Math. Mech., Engl. Ed. 34, No. 11, 1383-1392 (2013). MSC: 76M45 65L10 PDFBibTeX XMLCite \textit{W.-z. Zhang} and \textit{P.-y. Huang}, Appl. Math. Mech., Engl. Ed. 34, No. 11, 1383--1392 (2013; Zbl 1284.76321) Full Text: DOI
Raza, Nauman; Butt, Asma Rashid Numerical solutions of singularly perturbed reaction diffusion equation with Sobolev gradients. (English) Zbl 1287.65082 J. Funct. Spaces Appl. 2013, Article ID 542897, 6 p. (2013). MSC: 65M60 35K57 35B25 PDFBibTeX XMLCite \textit{N. Raza} and \textit{A. R. Butt}, J. Funct. Spaces Appl. 2013, Article ID 542897, 6 p. (2013; Zbl 1287.65082) Full Text: DOI
Zadorin, A. I.; Tikhovskaya, S. V. Solution of second order nonlinear singular perturbed ordinary differential equation based on the Samarskii scheme. (Russian, English) Zbl 1299.65161 Sib. Zh. Vychisl. Mat. 16, No. 1, 11-25 (2013); translation in Numer. Analysis Appl. 6, No. 1, 9-23 (2013). MSC: 65L12 65L60 65L05 65L11 65L20 34B15 34E15 65L50 PDFBibTeX XMLCite \textit{A. I. Zadorin} and \textit{S. V. Tikhovskaya}, Sib. Zh. Vychisl. Mat. 16, No. 1, 11--25 (2013; Zbl 1299.65161); translation in Numer. Analysis Appl. 6, No. 1, 9--23 (2013) Full Text: DOI
Kumar, Devendra Numerical solution of singularly perturbed two point boundary value problems using exponentially fitted finite difference scheme. (English) Zbl 1408.65046 Indian J. Math. 55, No. 2, 123-147 (2013). MSC: 65L10 65L12 65L50 65L70 65L11 PDFBibTeX XMLCite \textit{D. Kumar}, Indian J. Math. 55, No. 2, 123--147 (2013; Zbl 1408.65046)
Kamar, Ahmed R. Abd-Ellateef; Jankowski, Tadeusz Generalized quazilinearization for systems of degenerate singular perturbation problems. (English) Zbl 1302.34023 Nonlinear Stud. 20, No. 2, 273-279 (2013). MSC: 34A45 34A12 PDFBibTeX XMLCite \textit{A. R. A. E. Kamar} and \textit{T. Jankowski}, Nonlinear Stud. 20, No. 2, 273--279 (2013; Zbl 1302.34023)
Lloyd, David J. B.; O’Farrell, Hayley On localised hotspots of an urban crime model. (English) Zbl 1284.91486 Physica D 253, 23-39 (2013). MSC: 91D10 34C37 35B36 PDFBibTeX XMLCite \textit{D. J. B. Lloyd} and \textit{H. O'Farrell}, Physica D 253, 23--39 (2013; Zbl 1284.91486) Full Text: DOI
Kasymov, K. A.; Nurgabyl, D. N.; Uaisov, A. B. Asymptotic estimates for the solutions of boundary-value problems with initial jump for linear differential equations with small parameter in the coefficients of derivatives. (English. Ukrainian original) Zbl 1293.34068 Ukr. Math. J. 65, No. 5, 694-708 (2013); translation from Ukr. Mat. Zh. 65, No. 5, 629-641 (2013). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34B05 PDFBibTeX XMLCite \textit{K. A. Kasymov} et al., Ukr. Math. J. 65, No. 5, 694--708 (2013; Zbl 1293.34068); translation from Ukr. Mat. Zh. 65, No. 5, 629--641 (2013) Full Text: DOI
Hafayed, Mokhtar; Abbas, Syed Stochastic near-optimal singular controls for jump diffusions: necessary and sufficient conditions. (English) Zbl 1287.93108 J. Dyn. Control Syst. 19, No. 4, 503-517 (2013). MSC: 93E20 60H10 49K45 PDFBibTeX XMLCite \textit{M. Hafayed} and \textit{S. Abbas}, J. Dyn. Control Syst. 19, No. 4, 503--517 (2013; Zbl 1287.93108) Full Text: DOI
Ibrogimov, Orif O.; Langer, Heinz; Langer, Matthias; Tretter, Christiane Essential spectrum of systems of singular differential equations. (English) Zbl 1324.47029 Acta Sci. Math. 79, No. 3-4, 423-465 (2013). Reviewer: Catalin Badea (Lille) MSC: 47A53 55R10 47A10 34L05 47A55 76E99 PDFBibTeX XMLCite \textit{O. O. Ibrogimov} et al., Acta Sci. Math. 79, No. 3--4, 423--465 (2013; Zbl 1324.47029) Full Text: arXiv
Pi, Dingheng; Zhang, Xiang The sliding bifurcations in planar piecewise smooth differential systems. (English) Zbl 1290.34047 J. Dyn. Differ. Equations 25, No. 4, 1001-1026 (2013). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C23 34C37 34A36 34C05 PDFBibTeX XMLCite \textit{D. Pi} and \textit{X. Zhang}, J. Dyn. Differ. Equations 25, No. 4, 1001--1026 (2013; Zbl 1290.34047) Full Text: DOI
Broer, Henk W.; Kaper, Tasso J.; Krupa, Martin Geometric desingularization of a cusp singularity in slow-fast systems with applications to Zeeman’s examples. (English) Zbl 1288.34051 J. Dyn. Differ. Equations 25, No. 4, 925-958 (2013). MSC: 34E15 34C05 PDFBibTeX XMLCite \textit{H. W. Broer} et al., J. Dyn. Differ. Equations 25, No. 4, 925--958 (2013; Zbl 1288.34051) Full Text: DOI
Koike, Tatsuya; Takei, Yoshitsugu Exact WKB analysis of second-order non-homogeneous linear ordinary differential equations. (English) Zbl 1302.34133 RIMS Kôkyûroku Bessatsu B40, 293-312 (2013). MSC: 34M60 34M30 34E20 PDFBibTeX XMLCite \textit{T. Koike} and \textit{Y. Takei}, RIMS Kôkyûroku Bessatsu B40, 293--312 (2013; Zbl 1302.34133)
Hirose, Sampei On the Stokes geometry for the Pearcey system and the (1,4) hypergeometric system. (English) Zbl 1296.33026 RIMS Kôkyûroku Bessatsu B40, 243-292 (2013). Reviewer: Vladimir P. Kostov (Nice) MSC: 33C70 34E20 34M60 PDFBibTeX XMLCite \textit{S. Hirose}, RIMS Kôkyûroku Bessatsu B40, 243--292 (2013; Zbl 1296.33026)
Iwaki, Kohei Parametric Stokes phenomena and Voros coefficients of the second Painlevé equation. (English) Zbl 1296.34178 RIMS Kôkyûroku Bessatsu B40, 221-242 (2013). Reviewer: Dmitri Artamonov (Moscow) MSC: 34M55 34M40 34M60 34M56 PDFBibTeX XMLCite \textit{K. Iwaki}, RIMS Kôkyûroku Bessatsu B40, 221--242 (2013; Zbl 1296.34178) Full Text: arXiv
Kamimoto, Shingo; Koike, Tatsuya On the Borel summability of 0-parameter solutions of nonlinear ordinary differential equations. (English) Zbl 1315.34101 RIMS Kôkyûroku Bessatsu B40, 191-212 (2013). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 34M60 34M30 34M25 40G10 PDFBibTeX XMLCite \textit{S. Kamimoto} and \textit{T. Koike}, RIMS Kôkyûroku Bessatsu B40, 191--212 (2013; Zbl 1315.34101)
Aoki, Takashi; Tanda, Mika Characterization of Stokes graphs and Voros coefficients of hypergeometric differential equations with a large parameter. (English) Zbl 1297.34099 RIMS Kôkyûroku Bessatsu B40, 147-162 (2013). MSC: 34M60 33C05 34M40 PDFBibTeX XMLCite \textit{T. Aoki} and \textit{M. Tanda}, RIMS Kôkyûroku Bessatsu B40, 147--162 (2013; Zbl 1297.34099)
Takei, Yoshitsugu On the role of the degenerate third Painlevé equation of type \((D8)\) in the exact WKB analysis. (English) Zbl 1302.34134 RIMS Kôkyûroku Bessatsu B37, 211-222 (2013). MSC: 34M60 34M55 34E20 PDFBibTeX XMLCite \textit{Y. Takei}, RIMS Kôkyûroku Bessatsu B37, 211--222 (2013; Zbl 1302.34134)
Aoki, Takashi; Honda, Naofumi; Umeta, Yoko On the number of the turning points of the second kind of the Noumi-Yamada systems with a large parameter. (English) Zbl 1315.34100 RIMS Kôkyûroku Bessatsu B37, 1-30 (2013). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 34M60 34M55 34E20 PDFBibTeX XMLCite \textit{T. Aoki} et al., RIMS Kôkyûroku Bessatsu B37, 1--30 (2013; Zbl 1315.34100)
Lin, Xiaojie Singular perturbation of a second-order nonlocal boundary value problem. (English) Zbl 1295.34057 Commun. Appl. Nonlinear Anal. 20, No. 4, 65-72 (2013). MSC: 34E20 34B15 34B10 34D05 PDFBibTeX XMLCite \textit{X. Lin}, Commun. Appl. Nonlinear Anal. 20, No. 4, 65--72 (2013; Zbl 1295.34057)
Li, Jun; Zhao, Yulin; Li, Shimin Fast and slow dynamics of malaria model with relapse. (English) Zbl 1281.92033 Math. Biosci. 246, No. 1, 94-104 (2013). MSC: 92C50 92C60 92D40 92-08 PDFBibTeX XMLCite \textit{J. Li} et al., Math. Biosci. 246, No. 1, 94--104 (2013; Zbl 1281.92033) Full Text: DOI
Al-Saif, Nahdh S. M.; Hussain, Eman Ali A point interpolation meshless method for the numerical solution of the singularly perturbed integral and integro-differential equations. (English) Zbl 1284.65188 Int. J. Math. Anal., Ruse 7, No. 13-16, 643-656 (2013). MSC: 65R20 45D05 45G10 45J05 PDFBibTeX XMLCite \textit{N. S. M. Al-Saif} and \textit{E. A. Hussain}, Int. J. Math. Anal., Ruse 7, No. 13--16, 643--656 (2013; Zbl 1284.65188) Full Text: DOI Link Link
Vedeneev, V. V. Limit oscillatory cycles in the single mode flutter of a plate. (English. Russian original) Zbl 1282.74055 J. Appl. Math. Mech. 77, No. 3, 257-267 (2013); translation from Prikl. Mat. Mekh. 77, No. 3, 355-370 (2013). MSC: 74K20 74H10 34C15 34C05 PDFBibTeX XMLCite \textit{V. V. Vedeneev}, J. Appl. Math. Mech. 77, No. 3, 257--267 (2013; Zbl 1282.74055); translation from Prikl. Mat. Mekh. 77, No. 3, 355--370 (2013) Full Text: DOI
Ge, Zhixin Asymptotic solutions to a class of the quasilinear system of differential equations with two parameters and boundary value conditions. (Chinese. English summary) Zbl 1299.34194 Chin. J. Eng. Math. 30, No. 4, 611-618 (2013). MSC: 34E05 34B15 34B08 34E15 PDFBibTeX XMLCite \textit{Z. Ge}, Chin. J. Eng. Math. 30, No. 4, 611--618 (2013; Zbl 1299.34194) Full Text: DOI
Xu, Youwei; Yao, Jingsun; Liu, Yan A class of singular perturbed problems for higher order equations with nonlinear boundary value conditions. (Chinese. English summary) Zbl 1299.34200 Pure Appl. Math. 29, No. 2, 197-207 (2013). MSC: 34E05 34B15 34E15 PDFBibTeX XMLCite \textit{Y. Xu} et al., Pure Appl. Math. 29, No. 2, 197--207 (2013; Zbl 1299.34200)
Lai, Jiangzhou; Lu, Linzhang The bound for the spectral condition number of a rank one perturbation matrix. (Chinese. English summary) Zbl 1299.15010 J. Guizhou Norm. Univ., Nat. Sci. 31, No. 4, 35-36 (2013). MSC: 15A12 15A18 15A03 15B48 PDFBibTeX XMLCite \textit{J. Lai} and \textit{L. Lu}, J. Guizhou Norm. Univ., Nat. Sci. 31, No. 4, 35--36 (2013; Zbl 1299.15010)
Chen, Lihua; Du, Zengji; Mo, Jiaqi Reaction diffusion equations for nonlinear boundary conditions. (English) Zbl 1299.35164 Wuhan Univ. J. Nat. Sci. 18, No. 3, 237-240 (2013). MSC: 35K57 35B25 PDFBibTeX XMLCite \textit{L. Chen} et al., Wuhan Univ. J. Nat. Sci. 18, No. 3, 237--240 (2013; Zbl 1299.35164) Full Text: DOI
Ji, Mingliang; Li, Qing; Yao, Jingsun A singularly perturbed problem for a nonlinear equation with nonlinear boundary value conditions. (Chinese. English summary) Zbl 1299.34197 Appl. Math., Ser. A (Chin. Ed.) 28, No. 2, 171-179 (2013). MSC: 34E05 34B15 34E15 PDFBibTeX XMLCite \textit{M. Ji} et al., Appl. Math., Ser. A (Chin. Ed.) 28, No. 2, 171--179 (2013; Zbl 1299.34197)
Peng, Yi; Zhu, Shengfeng Numerical asymptotic solutions to a class of singularly perturbed initial value problems. (Chinese. English summary) Zbl 1299.65155 Commun. Appl. Math. Comput. 27, No. 3, 363-371 (2013). MSC: 65L11 65L05 34A34 34E15 PDFBibTeX XMLCite \textit{Y. Peng} and \textit{S. Zhu}, Commun. Appl. Math. Comput. 27, No. 3, 363--371 (2013; Zbl 1299.65155) Full Text: DOI
Han, Houde; Miller, J. J. H.; Tang, Min A parameter-uniform tailored finite point method for singularly perturbed linear ODE systems. (English) Zbl 1299.65154 J. Comput. Math. 31, No. 4, 422-438 (2013). MSC: 65L11 65L10 34B05 PDFBibTeX XMLCite \textit{H. Han} et al., J. Comput. Math. 31, No. 4, 422--438 (2013; Zbl 1299.65154) Full Text: DOI Link
Zhu, Peng; Yin, Yunhui; Yang, Yubo An analysis of an optimal order uniformly convergent interior penalty discontinuous Galerkin method for singularly perturbed problems. (Chinese. English summary) Zbl 1299.65158 Math. Numer. Sin. 35, No. 3, 323-336 (2013). MSC: 65L11 65L10 34B15 34E15 65L50 65L20 PDFBibTeX XMLCite \textit{P. Zhu} et al., Math. Numer. Sin. 35, No. 3, 323--336 (2013; Zbl 1299.65158)
Han, Xianglin; Ouyang, Cheng; Li, Huang The asymptotic estimation and application for a class of semi-linear singularly perturbed problems. (Chinese. English summary) Zbl 1299.34196 J. Syst. Sci. Math. Sci. 33, No. 7, 834-840 (2013). MSC: 34E05 34B15 34E15 34A40 PDFBibTeX XMLCite \textit{X. Han} et al., J. Syst. Sci. Math. Sci. 33, No. 7, 834--840 (2013; Zbl 1299.34196)
Wang, Na; Ni, Mingkang The interior layer phenomena for a singularly perturbed delay-differential equation. (English) Zbl 1289.34196 Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 2, 532-542 (2013). MSC: 34K26 34K10 PDFBibTeX XMLCite \textit{N. Wang} and \textit{M. Ni}, Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 2, 532--542 (2013; Zbl 1289.34196) Full Text: DOI
Wu, Limeng; Ni, Mingkang; Lu, Haibo Internal transition layer solutions of singularly perturbed optimal control problems. (Chinese. English summary) Zbl 1289.34147 Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 2, 206-215 (2013). MSC: 34E15 49J15 PDFBibTeX XMLCite \textit{L. Wu} et al., Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 2, 206--215 (2013; Zbl 1289.34147)
Wang, Na The asymptotic solution to singularly perturbed neutral differential difference equations. (English) Zbl 1289.34195 Ann. Differ. Equations 29, No. 1, 81-88 (2013). MSC: 34K26 34K40 34E05 PDFBibTeX XMLCite \textit{N. Wang}, Ann. Differ. Equations 29, No. 1, 81--88 (2013; Zbl 1289.34195)
Zhou, Jin; Cheng, Yan Singular perturbation of second order nonlinear delay differential equations. (Chinese. English summary) Zbl 1289.34197 J. Hefei Univ. Technol., Nat. Sci. 36, No. 4, 483-485 (2013). MSC: 34K26 34K07 34E05 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{Y. Cheng}, J. Hefei Univ. Technol., Nat. Sci. 36, No. 4, 483--485 (2013; Zbl 1289.34197) Full Text: DOI
Zhu, Jinghao; Chen, Shuojing Non-convex global optimization with Gurman perturbation. (Chinese. English summary) Zbl 1289.90162 J. Tongji Univ., Nat. Sci. 41, No. 5, 788-791, 798 (2013). MSC: 90C26 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{S. Chen}, J. Tongji Univ., Nat. Sci. 41, No. 5, 788--791, 798 (2013; Zbl 1289.90162) Full Text: DOI
Mo, Jiaqi; Lin, Wantao; Du, Zengji A singularly perturbed solution for nonlinear higher order elliptic equations with two parameters. (Chinese. English summary) Zbl 1289.35021 J. Syst. Sci. Math. Sci. 33, No. 2, 217-221 (2013). MSC: 35B25 35J60 35J40 PDFBibTeX XMLCite \textit{J. Mo} et al., J. Syst. Sci. Math. Sci. 33, No. 2, 217--221 (2013; Zbl 1289.35021)
Ao, Weiwei; Wei, Juncheng; Zeng, Jing An optimal bound on the number of interior spike solutions for the Lin-Ni-Takagi problem. (English) Zbl 1286.35020 J. Funct. Anal. 265, No. 7, 1324-1356 (2013). MSC: 35B25 35J61 35J25 PDFBibTeX XMLCite \textit{W. Ao} et al., J. Funct. Anal. 265, No. 7, 1324--1356 (2013; Zbl 1286.35020) Full Text: DOI arXiv
Belyaev, A. A. Singular perturbations of powers of the Laplacian on the torus. (English. Russian original) Zbl 1293.47011 Math. Notes 94, No. 4, 594-598 (2013); translation from Mat. Zametki 94, No. 4, 632-636 (2013). Reviewer: Giampiero Palatucci (Trieste) MSC: 47A55 47F05 PDFBibTeX XMLCite \textit{A. A. Belyaev}, Math. Notes 94, No. 4, 594--598 (2013; Zbl 1293.47011); translation from Mat. Zametki 94, No. 4, 632--636 (2013) Full Text: DOI
Alymkulov, K.; Asylbekov, T. D.; Dolbeeva, S. F. Generalization of the boundary function method for solving boundary-value problems for bisingularly perturbed second-order differential equations. (English. Russian original) Zbl 1345.34108 Math. Notes 94, No. 4, 451-454 (2013); translation from Mat. Zametki 94, No. 4, 483-487 (2013). Reviewer: Oleh Omel’chenko (Berlin) MSC: 34E05 34E20 34B05 PDFBibTeX XMLCite \textit{K. Alymkulov} et al., Math. Notes 94, No. 4, 451--454 (2013; Zbl 1345.34108); translation from Mat. Zametki 94, No. 4, 483--487 (2013) Full Text: DOI
Chen, Zhongming; Qi, Liqun; Yang, Qingzhi; Yang, Yuning The solution methods for the largest eigenvalue (singular value) of nonnegative tensors and convergence analysis. (English) Zbl 1283.65058 Linear Algebra Appl. 439, No. 12, 3713-3733 (2013). MSC: 65K05 90C25 90C51 15A69 65F15 65F20 PDFBibTeX XMLCite \textit{Z. Chen} et al., Linear Algebra Appl. 439, No. 12, 3713--3733 (2013; Zbl 1283.65058) Full Text: DOI
Guiver, Chris; Opmeer, Mark R. Error bounds in the gap metric for dissipative balanced approximations. (English) Zbl 1280.93017 Linear Algebra Appl. 439, No. 12, 3659-3698 (2013). MSC: 93B11 93C05 15A24 46C20 47B50 PDFBibTeX XMLCite \textit{C. Guiver} and \textit{M. R. Opmeer}, Linear Algebra Appl. 439, No. 12, 3659--3698 (2013; Zbl 1280.93017) Full Text: DOI
Fourie, J. H.; Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. Rank one perturbations of \(H\)-positive real matrices. (English) Zbl 1283.15102 Linear Algebra Appl. 439, No. 3, 653-674 (2013). MSC: 15B48 15A03 15A21 15B57 15A18 PDFBibTeX XMLCite \textit{J. H. Fourie} et al., Linear Algebra Appl. 439, No. 3, 653--674 (2013; Zbl 1283.15102) Full Text: DOI
Boglaev, Igor Uniform quadratic convergence of monotone iterates for nonlinear singularly perturbed parabolic problems. (English) Zbl 1284.65115 Numer. Algorithms 64, No. 4, 607-631 (2013). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M12 65M06 35K55 35B25 PDFBibTeX XMLCite \textit{I. Boglaev}, Numer. Algorithms 64, No. 4, 607--631 (2013; Zbl 1284.65115) Full Text: DOI