Dall’Aglio, Andrea; Grossi, Massimo A perturbation theorem for the equation \(-\Delta u+\lambda u=u^ p\) in unbounded domains. (English) Zbl 0872.35040 Nonlinear Anal., Theory Methods Appl. 28, No. 11, 1867-1877 (1997). Reviewer: K.Pflüger (Berlin) MSC: 35J65 35B25 35J20 PDFBibTeX XMLCite \textit{A. Dall'Aglio} and \textit{M. Grossi}, Nonlinear Anal., Theory Methods Appl. 28, No. 11, 1867--1877 (1997; Zbl 0872.35040) Full Text: DOI
Selvakumar, K. Optimal uniform finite difference scheme of order one for singularly perturbed Riccati equation. (English) Zbl 0872.65074 Commun. Numer. Methods Eng. 13, No. 1, 1-12 (1997). Reviewer: Y.V.Rogovchenko (Firenze) MSC: 65L10 65L12 34E15 34B15 PDFBibTeX XMLCite \textit{K. Selvakumar}, Commun. Numer. Methods Eng. 13, No. 1, 1--12 (1997; Zbl 0872.65074) Full Text: DOI
Kanwal, Ram P. Linear integral equations. Theory & technique. 2nd ed. (English) Zbl 0860.45001 Boston: Birkhäuser. viii, 318 p. (1997). Reviewer: N.K.Karapetyants (Rostov-na-Donu) MSC: 45-01 45A05 45B05 45Exx 44-01 34A25 35C15 35A22 47A53 PDFBibTeX XMLCite \textit{R. P. Kanwal}, Linear integral equations. Theory \& technique. 2nd ed. Boston: Birkhäuser (1997; Zbl 0860.45001)
Kuzmina, Lyudmila K. Stability theory methods in mechanics problems. (English) Zbl 1057.70515 Proceedings of the 22nd Yugoslav congress of theoretical and applied mechanics, YUCTAM ’97, Vrnjačka Banja, Yugoslavia, June 2–7, 1997. A. General mechanics. Belgrade: University of Belgrade, Mathematical Institute SANU. 89-98 (1997). Reviewer: Vladimir Dragović (Beograd) MSC: 70E50 34D20 34D15 PDFBibTeX XMLCite \textit{L. K. Kuzmina}, in: Proceedings of the 22nd Yugoslav congress of theoretical and applied mechanics, YUCTAM '97, Vrnjačka Banja, Yugoslavia, June 2--7, 1997. A. General mechanics. Belgrade: University of Belgrade, Mathematical Institute SANU. 89--98 (1997; Zbl 1057.70515)
Herceg, D. On a discrete analogue for singularly perturbed BVP. (English) Zbl 1012.65510 Bull., Cl. Sci. Math. Nat., Sci. Math. 114, No. 22, 57-74 (1997). MSC: 65L10 65L12 34B15 34E15 PDFBibTeX XMLCite \textit{D. Herceg}, Bull., Cl. Sci. Math. Nat., Sci. Math. 114, No. 22, 57--74 (1997; Zbl 1012.65510)
Kostin, V. I.; Khaidukov, V. G.; Cheverda, V. A. \(r\)-solutions to equations of the first kind with completely continuous operator in Hilbert spaces: Existence and stability. (English. Russian original) Zbl 0985.47010 Dokl. Math. 56, No. 1, 531-535 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 355, No. 3, 308-312 (1997). Reviewer: C.W.Groetsch (Cincinnati) MSC: 47A50 47A52 65J10 47A55 65J20 PDFBibTeX XML
Strygin, V. V.; Kuznetsova, E. V. A fourth-order spline-collocation method for singularly perturbed problems on optimal grids. (English. Russian original) Zbl 0968.65049 Dokl. Math. 55, No. 2, 203-205 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 353, No. 2, 167-169 (1997). MSC: 65L10 34B05 34E15 65L60 65L50 PDFBibTeX XMLCite \textit{V. V. Strygin} and \textit{E. V. Kuznetsova}, Dokl. Math. 55, No. 2, 167--169 (1997; Zbl 0968.65049); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 353, No. 2, 167--169 (1997)
Wu, Linping; Markenscoff, Xanthippi Asymptotics for thin elastic ligaments with applications to body force and thermal loadings. (English) Zbl 0977.74529 J. Mech. Phys. Solids 45, No. 11-12, 2033-2054 (1997). MSC: 74G70 74G10 74F05 PDFBibTeX XMLCite \textit{L. Wu} and \textit{X. Markenscoff}, J. Mech. Phys. Solids 45, No. 11--12, 2033--2054 (1997; Zbl 0977.74529) Full Text: DOI
Surla, Katarina; Vukoslavčević, Vanja Some linear combinations of the spline difference schemes for singularly perturbed boundary value problems. (English) Zbl 0948.65073 Herceg, D. (ed.) et al., PRIM ’96. Proceedings of the XI conference on applied mathematics, Budva, Yugoslavia, June 3-6, 1996. Novi Sad: Univ. of Novi Sad, Fac. of Science, Inst. of Math. 373-382 (1997). Reviewer: Boško Jovanović (Beograd) MSC: 65L10 34B15 34E15 65L12 65L50 PDFBibTeX XMLCite \textit{K. Surla} and \textit{V. Vukoslavčević}, in: PRIM '96. Proceedings of the XI conference on applied mathematics, Budva, Yugoslavia, June 3-6, 1996. Novi Sad: Univ. of Novi Sad, Fac. of Science, Inst. of Math.. 373--382 (1997; Zbl 0948.65073)
Shishkin, G. I. Grid approximation of a singularly perturbed Neumann problem for parabolic equations in the case of a discontinuous boundary function. (English. Russian original) Zbl 0946.65068 Comput. Math. Math. Phys. 37, No. 3, 370-373 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 3, 378-382 (1997). Reviewer: A.A.Tretiakov (Siedlce) MSC: 65M06 35K65 35B25 35R05 65M50 35K55 PDFBibTeX XMLCite \textit{G. I. Shishkin}, Comput. Math. Math. Phys. 37, No. 3, 378--381 (1997; Zbl 0946.65068); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 3, 378--382 (1997)
Yakubenko, T. A. Error estimation for a numerical solution to a boundary value problem with a boundary layer. (English. Russian original) Zbl 0946.65060 Comput. Math. Math. Phys. 37, No. 8, 913-918 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 8, 945-950 (1997). Reviewer: Alexey Tretiakov (Siedlce) MSC: 65L10 65L12 65L70 34E15 34B05 PDFBibTeX XMLCite \textit{T. A. Yakubenko}, Comput. Math. Math. Phys. 37, No. 8, 945--950 (1997; Zbl 0946.65060); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 8, 945--950 (1997)
Korolyuk, Vladimir S. Problems of singular perturbations in analysis of stochastic systems. (English) Zbl 0946.60068 Theory Stoch. Process. 3(19), No. 1-2, 13-29 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60J20 60J25 60J70 PDFBibTeX XMLCite \textit{V. S. Korolyuk}, Theory Stoch. Process. 3(19), No. 1--2, 13--29 (1997; Zbl 0946.60068)
Zhang, Hanlin The corner solution for quasilinear systems with two parameters. (English) Zbl 0934.34007 Math. Appl. 10, No. 3, 64-66 (1997). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 34B15 34E15 PDFBibTeX XMLCite \textit{H. Zhang}, Math. Appl. 10, No. 3, 64--66 (1997; Zbl 0934.34007)
Chen, Xiu Singular perturbation of Robin problems for second order nonlinear equations with turning points. (English) Zbl 0935.34051 Math. Appl. 10, No. 2, 1-7 (1997). MSC: 34E15 34E20 34B15 PDFBibTeX XMLCite \textit{X. Chen}, Math. Appl. 10, No. 2, 1--7 (1997; Zbl 0935.34051)
Rudraiah, N.; Shivakumara, I. S.; Shivakumar, B. S. Effect of nonuniform concentration gradient on Marangoni convection in porous layer. (English) Zbl 0962.76615 J. Natl. Acad. Math. India 11(1997), 48-63 (1999). MSC: 76R05 76S05 76M45 76D45 80A20 PDFBibTeX XMLCite \textit{N. Rudraiah} et al., J. Natl. Acad. Math. India 11, 48--63 (1997; Zbl 0962.76615)
Shen, Yuantong; Ye, Biquan; Yi, Xuming Adaptive wavelet-collocation methods for solving a class of singular differential equations. (Chinese. English summary) Zbl 0932.65090 J. Math., Wuhan Univ. 17, No. 4, 517-521 (1997). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 65L10 65L60 34B05 34E15 PDFBibTeX XMLCite \textit{Y. Shen} et al., J. Math., Wuhan Univ. 17, No. 4, 517--521 (1997; Zbl 0932.65090)
Koike, Tatsuya Perturbation series of eigenvalues of anharmonic oscillators. (Japanese) Zbl 0935.34500 RIMS Kokyuroku 1001, 71-97 (1997). MSC: 34L20 34E20 81Q15 81Q20 34L40 PDFBibTeX XMLCite \textit{T. Koike}, RIMS Kokyuroku 1001, 71--97 (1997; Zbl 0935.34500)
Kawai, Takahiro; Takei, Yoshitsugu Can we find a new deformation of \((\text{SL}_J)\)? Conjectures and supporting evidences. (English) Zbl 0940.34072 RIMS Kokyuroku 1001, 39-63 (1997). Reviewer: Georgii P.Razmyslovich (Minsk) MSC: 34M55 34M60 34E20 PDFBibTeX XMLCite \textit{T. Kawai} and \textit{Y. Takei}, RIMS Kokyuroku 1001, 39--63 (1997; Zbl 0940.34072)
Holovatyj, Yu. D.; Holovach, I. A. On asymptotics of global proper vibrations of a singular perturbed string. (Ukrainian) Zbl 1125.74376 Visn. L’viv. Univ., Ser. Mekh.-Mat. 48, 88-99 (1997). MSC: 74Q10 74H45 35B25 74K05 74H10 PDFBibTeX XMLCite \textit{Yu. D. Holovatyj} and \textit{I. A. Holovach}, Visn. L'viv. Univ., Ser. Mekh.-Mat. 48, 88--99 (1997; Zbl 1125.74376)
Iyengar, N. Ch. S. N. Slow steady rotation of two concentric porous spherical shells in a viscous fluid about a common diameter. (English) Zbl 0962.76634 Far East J. Appl. Math. 1, No. 3, 219-234 (1997). MSC: 76U05 76S05 76M45 PDFBibTeX XMLCite \textit{N. Ch. S. N. Iyengar}, Far East J. Appl. Math. 1, No. 3, 219--234 (1997; Zbl 0962.76634)
Salasnich, Luca; Sattin, Fabio On the convergence of the WKB series for the angular momentum operator. (English) Zbl 0927.34041 J. Phys. A, Math. Gen. 30, No. 21, 7597-7602 (1997). MSC: 34E20 34L40 81Q20 81Q50 34M60 PDFBibTeX XMLCite \textit{L. Salasnich} and \textit{F. Sattin}, J. Phys. A, Math. Gen. 30, No. 21, 7597--7602 (1997; Zbl 0927.34041) Full Text: DOI arXiv
Butuzov, V. F.; Vasil’eva, A. B.; Nefedov, N. N. Asymptotic theory of contrast structures (review). (English. Russian original) Zbl 0921.34054 Autom. Remote Control 58, No. 7, Pt. 1, 1068-1091 (1997); translation from Avtom. Telemekh. 1997, No. 7, 4-32 (1997). MSC: 34E05 34E15 35B25 34B15 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Autom. Remote Control 58, No. 7, Part 1, 1068--1091 (1997; Zbl 0921.34054); translation from Avtom. Telemekh. 1997, No. 7, 4--32 (1997)
Huang, Weizhang Singular perturbation of a nonlinear system and a BVP with and a turning point. (Chinese. English summary) Zbl 0921.34020 J. Math. Study 30, No. 2, 170-174 (1997). MSC: 34B15 PDFBibTeX XMLCite \textit{W. Huang}, J. Math. Study 30, No. 2, 170--174 (1997; Zbl 0921.34020)
Savin, I. A. On the uniform accuracy, with respect to a small parameter, of the modified Samarskij scheme for a singularly perturbed equation. (English. Russian original) Zbl 0928.65089 Differ. Equations 33, No. 7, 967-971 (1997); translation from Differ. Uravn. 33, No. 7, 963-966 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 65L10 34B05 34E15 65L12 65L50 65L20 PDFBibTeX XMLCite \textit{I. A. Savin}, Differ. Equations 33, No. 7, 967--971 (1997; Zbl 0928.65089); translation from Differ. Uravn. 33, No. 7, 963--966 (1997)
Larrouturou, Bernard; Sportisse, Bruno Some mathematical and numerical aspects of reduction in chemical kinetics. (English) Zbl 0911.65059 Bristeau, M.-O. (ed.) et al., Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5–7, 1997. Chichester: John Wiley & Sons. 422-431 (1997). MSC: 65L05 34A34 34E13 80A30 PDFBibTeX XMLCite \textit{B. Larrouturou} and \textit{B. Sportisse}, in: Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5--7, 1997. Chichester: John Wiley \& Sons. 422--431 (1997; Zbl 0911.65059)
Hangleiter, R.; Lube, G. Boundary layer-adapted grids and domain decomposition in stabilized Galerkin methods for elliptic problems. (English) Zbl 0910.65093 CWI Q. 10, No. 3-4, 215-238 (1997). MSC: 65N55 35B25 35J25 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{R. Hangleiter} and \textit{G. Lube}, CWI Q. 10, No. 3--4, 215--238 (1997; Zbl 0910.65093)
Stynes, Martin; Tobiska, Lutz Error estimates and numerical experiments for streamline-diffusion-type methods on arbitrary and Shishkin meshes. (English) Zbl 0908.65069 CWI Q. 10, No. 3-4, 337-352 (1997). MSC: 65L10 34B05 34E15 65L60 65L70 PDFBibTeX XMLCite \textit{M. Stynes} and \textit{L. Tobiska}, CWI Q. 10, No. 3--4, 337--352 (1997; Zbl 0908.65069)
Shishkin, G. I.; Shishkina, L. P.; Hemker, P. W. A numerical method with floating meshes for singularly perturbed problems with a concentrated disturbance in the initial data. (English) Zbl 0908.65078 CWI Q. 10, No. 3-4, 317-336 (1997). MSC: 65M06 35B25 65M12 35K15 35L45 PDFBibTeX XMLCite \textit{G. I. Shishkin} et al., CWI Q. 10, No. 3--4, 317--336 (1997; Zbl 0908.65078)
Roos, H.-G.; Skalický, T. A comparison of the finite element method on Shishkin and Gartland-type meshes for convection-diffusion problems. (English) Zbl 0908.65099 CWI Q. 10, No. 3-4, 277-300 (1997). MSC: 65N30 35J25 35B25 65N50 65N12 PDFBibTeX XMLCite \textit{H. G. Roos} and \textit{T. Skalický}, CWI Q. 10, No. 3--4, 277--300 (1997; Zbl 0908.65099)
Nikolova, Mariana; Axelsson, Owe Uniform in \(\varepsilon\) convergence of finite element method for convection-diffusion equations using a priori chosen meshes. (English) Zbl 0911.65109 CWI Q. 10, No. 3-4, 253-276 (1997). MSC: 65N30 65N12 65N15 65N50 35J25 35B25 PDFBibTeX XMLCite \textit{M. Nikolova} and \textit{O. Axelsson}, CWI Q. 10, No. 3--4, 253--276 (1997; Zbl 0911.65109)
Miller, John J. H.; O’Riordan, Eugene The necessity of fitted operators and Shishkin meshes for resolving thin layer phenomena. (English) Zbl 0909.65051 CWI Q. 10, No. 3-4, 207-213 (1997). MSC: 65M06 35K05 35B25 65M50 PDFBibTeX XMLCite \textit{J. J. H. Miller} and \textit{E. O'Riordan}, CWI Q. 10, No. 3--4, 207--213 (1997; Zbl 0909.65051)
Doedel, Eusebius Nonlinear numerics. (English) Zbl 0910.65059 Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, No. 9, 2127-2143 (1997). MSC: 65L15 34C23 65H20 65H17 PDFBibTeX XMLCite \textit{E. Doedel}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, No. 9, 2127--2143 (1997; Zbl 0910.65059) Full Text: DOI
Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A. Pattern formation in the one-dimensional Gray-Scott model. (English) Zbl 0905.35044 Nonlinearity 10, No. 2, 523-563 (1997). MSC: 35K57 34C37 35B10 35B32 35Q80 34E15 65M06 34C30 PDFBibTeX XMLCite \textit{A. Doelman} et al., Nonlinearity 10, No. 2, 523--563 (1997; Zbl 0905.35044) Full Text: DOI
Castro, Sofia B. S. D. The disappearance of the limit cycle in a mode interaction problem with \(\mathbb{Z}_2\) symmetry. (English) Zbl 0914.34037 Nonlinearity 10, No. 2, 425-432 (1997). MSC: 34C23 34C05 34C37 37G99 PDFBibTeX XMLCite \textit{S. B. S. D. Castro}, Nonlinearity 10, No. 2, 425--432 (1997; Zbl 0914.34037) Full Text: DOI
Vereshchagin, V. L. Global asymptotic formulae for the fourth Painlevé transcendent. (English. Russian original) Zbl 0905.34006 Sb. Math. 188, No. 12, 11-32 (1997); translation from Mat. Sb. 188, No. 12, 1739-1760 (1997). MSC: 34M55 34M60 34E20 34E05 PDFBibTeX XMLCite \textit{V. L. Vereshchagin}, Sb. Math. 188, No. 12, 11--32 (1997; Zbl 0905.34006); translation from Mat. Sb. 188, No. 12, 1739--1760 (1997) Full Text: DOI
Shishkin, G. I.; Tselishcheva, I. V. The decomposition method for singularly perturbed boundary value problems with the local perturbation of the initial conditions. Equations with convective terms. (English. Russian original) Zbl 0904.65097 Russ. Math. 41, No. 4, 96-105 (1997); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1997, No. 4(419), 98-107 (1997). Reviewer: Th.Sonar (Hamburg) MSC: 65M55 65M06 65M12 35B25 35K15 PDFBibTeX XMLCite \textit{G. I. Shishkin} and \textit{I. V. Tselishcheva}, Russ. Math. 41, No. 4, 96--105 (1997; Zbl 0904.65097); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1997, No. 4(419), 98--107 (1997)
Krukier, L. A. Skew-symmetric iteration methods for solving stationary problem of convection-diffusion with a small parameter at the highest derivative. (English. Russian original) Zbl 0911.65096 Russ. Math. 41, No. 4, 75-83 (1997); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1997, No. 4(419), 77-85 (1997). Reviewer: M.Plum (Karlsruhe) MSC: 65N06 35J25 35B25 65F10 PDFBibTeX XMLCite \textit{L. A. Krukier}, Russ. Math. 41, No. 4, 75--83 (1997; Zbl 0911.65096); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1997, No. 4(419), 77--85 (1997)
Liu, Xiaojian Numerical solution for singular perturbation problems combining splitting methods and exponential fitting techniques. (Chinese. English summary) Zbl 0901.65058 Numer. Math., Nanjing 19, No. 2, 122-131 (1997). MSC: 65M06 35K15 35B25 65Y05 65M12 PDFBibTeX XMLCite \textit{X. Liu}, Numer. Math., Nanjing 19, No. 2, 122--131 (1997; Zbl 0901.65058)
Alvarez, Lilliam; Rodriguez, Antonio; Sanchez, Ignacio A numerical technique to solve linear and non-linear singularly perturbed problems. (English) Zbl 0896.65054 Conca, Carlos (ed.) et al., Numerical methods in mechanics. 4th French-Latinamerican congress on Applied mathematics, University of Concepción, Concepción, Chile, December 11–15, 1995. London: Longman. Pitman Res. Notes Math. Ser. 371, 25-34 (1997). MSC: 65L10 34E15 65M20 34B05 34B15 35K05 PDFBibTeX XMLCite \textit{L. Alvarez} et al., Pitman Res. Notes Math. Ser. 371, 25--34 (1997; Zbl 0896.65054)
Liu, Chuanhan Fourth-order accurate difference method for the singular perturbation problem. (English) Zbl 0912.65071 Appl. Math. Mech., Engl. Ed. 18, No. 10, 987-995 (1997). Reviewer: J.B.Butler jun.(Portland) MSC: 65L10 65L12 65L50 34B05 34D15 PDFBibTeX XMLCite \textit{C. Liu}, Appl. Math. Mech., Engl. Ed. 18, No. 10, 987--995 (1997; Zbl 0912.65071) Full Text: DOI
Kang, Shengliang Singular perturbation for a class of nonlinear boundary value problems with a concentrated excitation. (Chinese. English summary) Zbl 0902.34049 Acta Math. Appl. Sin. 20, No. 2, 255-261 (1997). MSC: 34E05 34E15 PDFBibTeX XMLCite \textit{S. Kang}, Acta Math. Appl. Sin. 20, No. 2, 255--261 (1997; Zbl 0902.34049)
Vulanović, Relja Fourth order algorithms for a semilinear singular perturbation problem. (English) Zbl 0903.65069 Numer. Algorithms 16, No. 2, 117-128 (1997). Reviewer: M.Plum (Karlsruhe) MSC: 65L10 65L12 65L70 34B15 34E15 PDFBibTeX XMLCite \textit{R. Vulanović}, Numer. Algorithms 16, No. 2, 117--128 (1997; Zbl 0903.65069) Full Text: DOI
Sacco, R.; Saleri, F. Stabilized mixed finite volume methods for convection-diffusion problems. (English) Zbl 0895.65050 East-West J. Numer. Math. 5, No. 4, 291-311 (1997). Reviewer: G.Hedstrom (Livermore) MSC: 65N30 65N12 35J25 35B25 PDFBibTeX XMLCite \textit{R. Sacco} and \textit{F. Saleri}, East-West J. Numer. Math. 5, No. 4, 291--311 (1997; Zbl 0895.65050)
Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S. Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. (English) Zbl 0895.65049 East-West J. Numer. Math. 5, No. 4, 249-264 (1997). Reviewer: G.Hedstrom (Livermore) MSC: 65N30 35J25 35B25 PDFBibTeX XMLCite \textit{R. D. Lazarov} et al., East-West J. Numer. Math. 5, No. 4, 249--264 (1997; Zbl 0895.65049)
Uzelac, Zorica; Surla, Katarina Discretization of the semilinear singularly perturbed problem. (English) Zbl 0898.65049 Nonlinear Anal., Theory Methods Appl. 30, No. 8, 4741-4747 (1997). Reviewer: S.Yanchuk (Kiev) MSC: 65L10 65L12 34B15 34E15 PDFBibTeX XMLCite \textit{Z. Uzelac} and \textit{K. Surla}, Nonlinear Anal., Theory Methods Appl. 30, No. 8, 4741--4747 (1997; Zbl 0898.65049) Full Text: DOI
Vulanović, Relja Super-time-stepping for nonlinear singular perturbation problems. (English) Zbl 0889.65092 Nonlinear Anal., Theory Methods Appl. 30, No. 1, 67-72 (1997). MSC: 65M06 65M12 35K55 PDFBibTeX XMLCite \textit{R. Vulanović}, Nonlinear Anal., Theory Methods Appl. 30, No. 1, 67--72 (1997; Zbl 0889.65092) Full Text: DOI
Surla, Katarina On modelling of semilinear singularly perturbed reaction-diffusion problem. (English) Zbl 0889.65088 Nonlinear Anal., Theory Methods Appl. 30, No. 1, 61-66 (1997). MSC: 65L10 65L12 34B15 34E15 PDFBibTeX XMLCite \textit{K. Surla}, Nonlinear Anal., Theory Methods Appl. 30, No. 1, 61--66 (1997; Zbl 0889.65088) Full Text: DOI
Herceg, Dragoslav; Krejić, Nataša On a numerical method for discrete analogues of boundary value problems. (English) Zbl 0889.65087 Nonlinear Anal., Theory Methods Appl. 30, No. 1, 9-15 (1997). MSC: 65L10 65L12 34B15 34E15 PDFBibTeX XMLCite \textit{D. Herceg} and \textit{N. Krejić}, Nonlinear Anal., Theory Methods Appl. 30, No. 1, 9--15 (1997; Zbl 0889.65087) Full Text: DOI
Wang, Song An a posteriori error estimate for finite element approximations of a singularly perturbed advection-diffusion problem. (English) Zbl 0889.65113 J. Comput. Appl. Math. 87, No. 2, 227-242 (1997). Reviewer: P.Chocholatý (Bratislava) MSC: 65N15 65N30 35B25 35J25 PDFBibTeX XMLCite \textit{S. Wang}, J. Comput. Appl. Math. 87, No. 2, 227--242 (1997; Zbl 0889.65113) Full Text: DOI
Schwarz, Günter; Śniatycki, Jedrzej; Tafel, Jacek Yang-Mills and Dirac fields with inhomogeneous boundary conditions. (English) Zbl 0892.58075 Commun. Math. Phys. 188, No. 2, 439-448 (1997). MSC: 58J32 81T13 35Q40 PDFBibTeX XMLCite \textit{G. Schwarz} et al., Commun. Math. Phys. 188, No. 2, 439--448 (1997; Zbl 0892.58075) Full Text: DOI Link
Lee, Choon-Ho The Riemann problem for a system of conservation laws of mixed type by the viscosity approach. (English) Zbl 0899.35073 Choe, Hi Jun (ed.) et al., Proceedings of Korea-Japan partial differential equations conference, Taejon, Republic of Korea, December 16–18, 1996. Korea: Seoul National University, Lect. Notes Ser., Seoul. 39, No. 9, 7 p. (1997). Reviewer: C.Corduneanu (Arlington) MSC: 35Q15 35B25 PDFBibTeX XMLCite \textit{C.-H. Lee}, in: Proceedings of Korea-Japan partial differential equations conference, Taejon, Republic of Korea, December 16--18, 1996. Korea: Seoul National University. No. 9; 7 p. (1997; Zbl 0899.35073)
Artstein, Zvi; Gaitsgory, Vladimir Tracking fast trajectories along a slow dynamics: A singular perturbations approach. (English) Zbl 0908.49002 SIAM J. Control Optimization 35, No. 5, 1487-1507 (1997). Reviewer: E.G.Al’brekht (Ekaterinburg) MSC: 49J15 93C15 49N10 PDFBibTeX XMLCite \textit{Z. Artstein} and \textit{V. Gaitsgory}, SIAM J. Control Optim. 35, No. 5, 1487--1507 (1997; Zbl 0908.49002) Full Text: DOI
Stynes, Martin; O’Riordan, Eugene A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem. (English) Zbl 0917.65088 J. Math. Anal. Appl. 214, No. 1, 36-54 (1997). Reviewer: S.K.Rangarajan (Bangalore) MSC: 65N12 35B25 35J25 65N15 65N30 65N50 PDFBibTeX XMLCite \textit{M. Stynes} and \textit{E. O'Riordan}, J. Math. Anal. Appl. 214, No. 1, 36--54 (1997; Zbl 0917.65088) Full Text: DOI
Yoshida, Zensho Applications of Beltrami functions in plasma physics. (English) Zbl 0902.76099 Nonlinear Anal., Theory Methods Appl. 30, No. 6, 3617-3627 (1997). Reviewer: V.Čadež (Leuven) MSC: 76W05 76X05 35Q35 85A30 PDFBibTeX XMLCite \textit{Z. Yoshida}, Nonlinear Anal., Theory Methods Appl. 30, No. 6, 3617--3627 (1997; Zbl 0902.76099) Full Text: DOI
Surla, K.; Uzelac, Z. A spline difference scheme on a piecewise equidistant grid. (English) Zbl 0888.65089 Z. Angew. Math. Mech. 77, No. 12, 901-909 (1997). Reviewer: P.Chocholatý (Bratislava) MSC: 65L10 65L12 65L50 34B15 PDFBibTeX XMLCite \textit{K. Surla} and \textit{Z. Uzelac}, Z. Angew. Math. Mech. 77, No. 12, 901--909 (1997; Zbl 0888.65089) Full Text: DOI
Giladi, Eldar; Keller, Joseph B. Iterative solution of elliptic problems by approximate factorization. (English) Zbl 0889.65107 J. Comput. Appl. Math. 85, No. 2, 287-313 (1997). Reviewer: K.Zlateva (Russe) MSC: 65N06 35J25 65F35 65N12 65F10 35B25 PDFBibTeX XMLCite \textit{E. Giladi} and \textit{J. B. Keller}, J. Comput. Appl. Math. 85, No. 2, 287--313 (1997; Zbl 0889.65107) Full Text: DOI
Blatov, Igor A.; Blatova, Victoria V.; Rozhec, Yurii B.; Strygin, Vadim V. Galerkin-Petrov method for strongly nonlinear singularly perturbed boundary value problems on special meshes. (English) Zbl 0887.65089 Appl. Numer. Math. 25, No. 4, 321-332 (1997). Reviewer: N.Parhi (Berhampur) MSC: 65L10 34B15 65L60 65L70 34E15 65L50 PDFBibTeX XMLCite \textit{I. A. Blatov} et al., Appl. Numer. Math. 25, No. 4, 321--332 (1997; Zbl 0887.65089) Full Text: DOI
Rachid, Ahmed; Mehdi, Dris Realization, reduction and control of linear systems. (Réalisation réduction et commande des systèmes linéaires.) (French) Zbl 0890.93001 Méthodes et Pratiques de l’Ingénieur. 9. Paris: Éditions Technip. vii, 231 p. (1997). Reviewer: K.Marti (Neubiberg) MSC: 93-01 93B15 93B11 93B55 93C40 49N10 PDFBibTeX XMLCite \textit{A. Rachid} and \textit{D. Mehdi}, Réalisation réduction et commande des systèmes linéaires. Paris: Éditions Technip (1997; Zbl 0890.93001)
Zhuang, Pinghui Uniform second-order accurate difference schemes for non-selfadjoint singular perturbation problem in conservation form. (Chinese. English summary) Zbl 0887.65081 J. Xiamen Univ., Nat. Sci. 36, No. 4, 513-519 (1997). Reviewer: Liu Xinguo (Qingdao) MSC: 65L10 65L12 34B05 34E15 PDFBibTeX XMLCite \textit{P. Zhuang}, J. Xiamen Univ., Nat. Sci. 36, No. 4, 513--519 (1997; Zbl 0887.65081)
Pellicano, F.; Mastroddi, F. Nonlinear dynamics of a beam on elastic foundation. (English) Zbl 0892.73027 Nonlinear Dyn. 14, No. 4, 335-355 (1997). MSC: 74H45 74K10 74B20 PDFBibTeX XMLCite \textit{F. Pellicano} and \textit{F. Mastroddi}, Nonlinear Dyn. 14, No. 4, 335--355 (1997; Zbl 0892.73027) Full Text: DOI
Doedel, Eusebius J. Nonlinear numerics. (English) Zbl 0887.65052 J. Franklin Inst. 334B, No. 5-6, 1049-1073 (1997). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 65H17 PDFBibTeX XMLCite \textit{E. J. Doedel}, J. Franklin Inst. 334B, No. 5--6, 1049--1073 (1997; Zbl 0887.65052) Full Text: DOI
El-Daou, M. K.; Ortiz, E. L. The uniform convergence of the tau method for singularly perturbed problems. (English) Zbl 0883.65066 Appl. Math. Lett. 10, No. 2, 91-94 (1997). MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. El-Daou} and \textit{E. L. Ortiz}, Appl. Math. Lett. 10, No. 2, 91--94 (1997; Zbl 0883.65066) Full Text: DOI
Chen, Jiuhua The \(p\)-version of the finite element method for a singularly perturbed boundary value problem. (English) Zbl 0888.65087 J. Comput. Appl. Math. 84, No. 1, 119-135 (1997). Reviewer: V.V.Strygin (Voronezh) MSC: 65L10 34E15 34B05 65L60 65L70 PDFBibTeX XMLCite \textit{J. Chen}, J. Comput. Appl. Math. 84, No. 1, 119--135 (1997; Zbl 0888.65087) Full Text: DOI
Melenk, Jens Markus On the robust exponential convergence of \(hp\) finite element methods for problems with boundary layers. (English) Zbl 0887.65106 IMA J. Numer. Anal. 17, No. 4, 577-601 (1997). Reviewer: Myron Sussman (Bethel Park) MSC: 65N12 65N50 35B25 35J25 65N30 PDFBibTeX XMLCite \textit{J. M. Melenk}, IMA J. Numer. Anal. 17, No. 4, 577--601 (1997; Zbl 0887.65106) Full Text: DOI
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. The use of defect correction for the solution of parabolic singular perturbation problems. (English) Zbl 0882.65071 Z. Angew. Math. Mech. 77, No. 1, 59-74 (1997). Reviewer: U.Langer (Linz) MSC: 65M06 35B25 35K15 65M12 65M50 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., Z. Angew. Math. Mech. 77, No. 1, 59--74 (1997; Zbl 0882.65071) Full Text: DOI Link
MacGillivray, A. D. A method for incorporating transcendentally small terms into the method of matched asymptotic expansions. (English) Zbl 0888.34051 Stud. Appl. Math. 99, No. 3, 285-310 (1997). Reviewer: J.Šimša (Brno) MSC: 34E20 34B15 34E05 41A60 PDFBibTeX XMLCite \textit{A. D. MacGillivray}, Stud. Appl. Math. 99, No. 3, 285--310 (1997; Zbl 0888.34051) Full Text: DOI
Huang, Weizhang Boundary value problem for a singularly perturbed nonlinear system. (English) Zbl 0887.34053 Appl. Math. Mech., Engl. Ed. 18, No. 6, 575-584 (1997). Reviewer: P.Habets (Louvain-La-Neuve) MSC: 34E15 34B15 PDFBibTeX XMLCite \textit{W. Huang}, Appl. Math. Mech., Engl. Ed. 18, No. 6, 575--584 (1997; Zbl 0887.34053) Full Text: DOI
Wang, Song A novel exponentially fitted triangular finite element method for an advection-diffusion problem with boundary layers. (English) Zbl 0897.76056 J. Comput. Phys. 134, No. 2, 253-260 (1997). Reviewer: Z.Dżygadło (Warszawa) MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{S. Wang}, J. Comput. Phys. 134, No. 2, 253--260 (1997; Zbl 0897.76056) Full Text: DOI
Li, J. Quasioptimal uniformly convergent finite element methods for the elliptic boundary layer problem. (English) Zbl 0885.65119 Comput. Math. Appl. 33, No. 10, 11-22 (1997). Reviewer: V.V.Kobkov (Novosibirsk) MSC: 65N30 65N12 35J25 35B25 PDFBibTeX XMLCite \textit{J. Li}, Comput. Math. Appl. 33, No. 10, 11--22 (1997; Zbl 0885.65119) Full Text: DOI
Sirotkin, V. V. The solution of singularly perturbed semilinear elliptic problems by iterative domain decomposition algorithms. (English) Zbl 0933.65140 Comput. Math. Appl. 33, No. 11, 99-116 (1997). Reviewer: R.H.W.Hoppe (München) MSC: 65N55 65H10 35B25 35J65 65N06 65N12 PDFBibTeX XMLCite \textit{V. V. Sirotkin}, Comput. Math. Appl. 33, No. 11, 99--116 (1997; Zbl 0933.65140) Full Text: DOI
Artstein, Zvi; Gaitsgory, Vladimir Linear-quadratic tracking of coupled slow and fast targets. (English) Zbl 0889.93036 Math. Control Signals Syst. 10, No. 1, 1-30 (1997). Reviewer: V.Dragan (Bucureşti) MSC: 93C70 49N10 93C73 34D15 PDFBibTeX XMLCite \textit{Z. Artstein} and \textit{V. Gaitsgory}, Math. Control Signals Syst. 10, No. 1, 1--30 (1997; Zbl 0889.93036) Full Text: DOI
Bagagiolo, F.; Bardi, M.; Capuzzo Dolcetta, I. A viscosity solutions approach to some asymptotic problems in optimal control. (English) Zbl 0881.35013 Da Prato, Giuseppe (ed.) et al., Partial differential equation methods in control and shape analysis. Proceedings of the IFIP conference, Pisa, Italy. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 188, 29-39 (1997). Reviewer: E.Barron (Chicago) MSC: 35B37 49L25 PDFBibTeX XMLCite \textit{F. Bagagiolo} et al., Lect. Notes Pure Appl. Math. 188, 29--39 (1997; Zbl 0881.35013)
Bender, Carl M.; Tovbis, Alexander Continuum limit of lattice approximation schemes. (English) Zbl 0902.47008 J. Math. Phys. 38, No. 7, 3700-3717 (1997). Reviewer: A.Kondrat’ev (Pensacola) MSC: 47A55 47E05 81Q15 81T25 PDFBibTeX XMLCite \textit{C. M. Bender} and \textit{A. Tovbis}, J. Math. Phys. 38, No. 7, 3700--3717 (1997; Zbl 0902.47008) Full Text: DOI Link
Dancer, E. N.; Daners, D. Domain perturbation for elliptic equations subject to Robin boundary conditions. (English) Zbl 0886.35063 J. Differ. Equations 138, No. 1, 86-132 (1997). Reviewer: J.Lovíšek (Bratislava) MSC: 35J65 35B20 35B25 35J25 35J20 PDFBibTeX XMLCite \textit{E. N. Dancer} and \textit{D. Daners}, J. Differ. Equations 138, No. 1, 86--132 (1997; Zbl 0886.35063) Full Text: DOI
Huang, Liying; Yen, David H. Y. A Gauss-Galerkin finite-difference method for singular partial differential equations in two space variables. (English) Zbl 0881.65080 Numer. Methods Partial Differ. Equations 13, No. 4, 331-355 (1997). Reviewer: V.V.Strygin (Voronezh) MSC: 65M06 65M12 35K15 35B25 PDFBibTeX XMLCite \textit{L. Huang} and \textit{D. H. Y. Yen}, Numer. Methods Partial Differ. Equations 13, No. 4, 331--355 (1997; Zbl 0881.65080) Full Text: DOI
Huang, Weizhang A class of nonlocal singularly perturbed nonlinear boundary value problems. (English) Zbl 0888.34049 Ann. Differ. Equations 13, No. 2, 140-145 (1997). Reviewer: P.Habets (Louvain-La-Neuve) MSC: 34E15 34B15 PDFBibTeX XMLCite \textit{W. Huang}, Ann. Differ. Equations 13, No. 2, 140--145 (1997; Zbl 0888.34049)
de Oliveira, P.; Patricio, F. Monotonicity on nonuniform grids. (English) Zbl 0879.65056 J. Comput. Appl. Math. 80, No. 2, 171-181 (1997). Reviewer: V.V.Kobkov (Novosibirsk) MSC: 65L10 34E15 34B05 65L50 PDFBibTeX XMLCite \textit{P. de Oliveira} and \textit{F. Patricio}, J. Comput. Appl. Math. 80, No. 2, 171--181 (1997; Zbl 0879.65056) Full Text: DOI
Shishkin, G. I. On finite difference fitted schemes for singularly perturbed boundary value problems with a parabolic boundary layer. (English) Zbl 0876.65075 J. Math. Anal. Appl. 208, No. 1, 181-204 (1997). Reviewer: E.Emmrich (Magdeburg) MSC: 65N06 35B25 35K20 35J25 65N12 PDFBibTeX XMLCite \textit{G. I. Shishkin}, J. Math. Anal. Appl. 208, No. 1, 181--204 (1997; Zbl 0876.65075) Full Text: DOI
Bai, Qingyuan; Xie, Licong; Lin, Pengcheng Difference scheme of uniform convergence in the \(L^ \infty\) norm for singular perturbation of the third BVP. (English) Zbl 0874.34009 Ann. Differ. Equations 13, No. 1, 85-93 (1997). Reviewer: V.Burjan (Praha) MSC: 34A45 34E20 PDFBibTeX XMLCite \textit{Q. Bai} et al., Ann. Differ. Equations 13, No. 1, 85--93 (1997; Zbl 0874.34009)
Shutyaev, V. P. Solvability of the data assimilation problem in the scale of Hilbert spaces for quasilinear singularly perturbed evolutionary problems. (English) Zbl 0872.65046 Russ. J. Numer. Anal. Math. Model. 12, No. 1, 53-66 (1997). Reviewer: E.Emmrich (Magdeburg) MSC: 65J15 76D05 86A10 35G10 35K25 34G20 65M12 65M15 PDFBibTeX XMLCite \textit{V. P. Shutyaev}, Russ. J. Numer. Anal. Math. Model. 12, No. 1, 53--66 (1997; Zbl 0872.65046) Full Text: DOI
Frank, Leonid S. Singular perturbations in elasticity theory. (English) Zbl 0963.74001 Analysis and its Applications. 1. Amsterdam: IOS Press. Tokyo: Ohmsha. 250 p. (1997). Reviewer: Gustavo A.Perla Menzala (Petropolis) MSC: 74-01 74G10 74K20 74G60 74K10 35B25 PDFBibTeX XMLCite \textit{L. S. Frank}, Singular perturbations in elasticity theory. Amsterdam: IOS Press; Tokyo: Ohmsha (1997; Zbl 0963.74001)
Barcilon, V.; Chen, D.-P.; Eisenberg, R. S.; Jerome, J. W. Qualitative properties of steady-state Poisson-Nernst-Planck systems: perturbation and simulation study. (English) Zbl 0874.34018 SIAM J. Appl. Math. 57, No. 3, 631-648 (1997). MSC: 34B15 92C35 34D15 92C05 34A34 65J99 78A35 PDFBibTeX XMLCite \textit{V. Barcilon} et al., SIAM J. Appl. Math. 57, No. 3, 631--648 (1997; Zbl 0874.34018) Full Text: DOI
Lee, June-Yub; Greengard, Leslie A fast adaptive numerical method for stiff two-point boundary value problems. (English) Zbl 0882.65066 SIAM J. Sci. Comput. 18, No. 2, 403-429 (1997). Reviewer: J.B.Butler jun.(Portland) MSC: 65L10 65L15 34E13 34E15 34B27 34B05 34L15 PDFBibTeX XMLCite \textit{J.-Y. Lee} and \textit{L. Greengard}, SIAM J. Sci. Comput. 18, No. 2, 403--429 (1997; Zbl 0882.65066) Full Text: DOI
Tuan, H. D.; Hosoe, S. A new design method for regulator problems for singularly perturbed systems with constrained control. (English) Zbl 0870.93018 IEEE Trans. Autom. Control 42, No. 2, 260-264 (1997). Reviewer: V.A.Sobolev (Samara) MSC: 93B51 93C73 49N10 PDFBibTeX XMLCite \textit{H. D. Tuan} and \textit{S. Hosoe}, IEEE Trans. Autom. Control 42, No. 2, 260--264 (1997; Zbl 0870.93018) Full Text: DOI
Vigodner, Alexander Limits of singularly perturbed control problems with statistical dynamics of fast motions. (English) Zbl 0882.49001 SIAM J. Control Optimization 35, No. 1, 1-28 (1997). Reviewer: S.Migorski (Krakow) MSC: 49J15 37-XX 34D15 PDFBibTeX XMLCite \textit{A. Vigodner}, SIAM J. Control Optim. 35, No. 1, 1--28 (1997; Zbl 0882.49001) Full Text: DOI
López-Gómez, Julián On the linear damped wave equation. (English) Zbl 0959.35109 J. Differ. Equations 134, No. 1, 26-45 (1997). MSC: 35L20 35B30 35P15 35B40 35B25 PDFBibTeX XMLCite \textit{J. López-Gómez}, J. Differ. Equations 134, No. 1, 26--45 (1997; Zbl 0959.35109) Full Text: DOI