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Found 254 Documents (Results 1–100)

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).
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On a mixed problem for a system of differential equations of the hyperbolic type with rotation points. (English) Zbl 0948.35074

Shkil, Mykola (ed.) et al., Symmetry in nonlinear mathematical physics. Proceedings of the second international conference, Kyiv, Ukraine, July 7-13, 1997. Memorial Prof. W. Fushchych conference. Vol. 2. Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine. 297-306 (1997).
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Solutions to boundary value problems for singularly perturbed linear systems on an infinite interval. (English. Russian original) Zbl 0952.34024

Differ. Equations 33, No. 12, 1713-1714 (1997); translation from Differ. Uravn. 33, No. 12, 1706-1707 (1997).
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Global solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems with variational structure in the case of two spatial variables. (English. Russian original) Zbl 0953.35059

J. Math. Sci., New York 92, No. 6, 4231-4255 (1998); translation from Probl. Mat. Anal. 16, 3-40 (1997).
MSC:  35K50 35B40 35K55 35B65
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Stability of stationary solutions of the Gierer-Meinhardt system. (English) Zbl 0966.35018

Li, T.-T. (ed.) et al., China-Japan symposium on reaction-diffusion equations and their applications and computational aspects, Shanghai, China, October 30-November 4, 1994. Singapore: World Scientific. 191-198 (1997).
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An improvement in construction of internal transition layers. (English) Zbl 0957.34053

Li, T.-T. (ed.) et al., China-Japan symposium on reaction-diffusion equations and their applications and computational aspects, Shanghai, China, October 30-November 4, 1994. Singapore: World Scientific. 151-158 (1997).
MSC:  34E10 34B15 34D15
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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).
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Selected works. III: Spectral string theory and stability problems. (Избранные труды. III: Спектральная теория струны и вопросы устойчивости.) (Russian) Zbl 0945.01015

Kyiv: Instytut Matematyky NAN Ukrainy. 320 p. (1997).
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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).
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Uniform asymptotics of a solution to a singularly perturbed parabolic equation with the angular characteristic of the degenerate equation. (English. Russian original) Zbl 0940.35103

Comput. Math. Math. Phys. 37, No. 2, 189-197 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 2, 193-201 (1997).
MSC:  35K20 35B25 35C10
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Numerical determination of a boundary condition near a singularity. (English. Russian original) Zbl 0945.34010

Comput. Math. Math. Phys. 37, No. 5, 529-538 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 5, 543-552 (1997).
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Singularly perturbed boundary value problems with concentrated sources and discontinuous initial conditions. (English. Russian original) Zbl 0940.35104

Comput. Math. Math. Phys. 37, No. 4, 417-434 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 4, 429-446 (1997).
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Spikelike contrast structures in the parabolic system of two singularly perturbed equations. (English. Russian original) Zbl 0940.35023

Comput. Math. Math. Phys. 37, No. 4, 403-416 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 4, 415-428 (1997).
MSC:  35B25 35C20 35K57 35K50
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The asymptotic behavior of the solution to a parabolic equation with singularly perturbed boundary conditions. (English. Russian original) Zbl 0940.35024

Comput. Math. Math. Phys. 37, No. 9, 1051-1057 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 9, 1087-1093 (1997).
MSC:  35B25 35C20 35K20
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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).
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New methods in the dynamic linear theory of open waveguide resonators. (English. Russian original) Zbl 0945.34044

Comput. Math. Math. Phys. 37, No. 7, 845-853 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 7, 869-877 (1997).
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Impact of liquid and solid masses. Ed. and with a preface by V. M. Teshukov. (Soudarenie zhidkikh i tverdykh mass.) (Russian) Zbl 0942.76002

Novosibirsk: Izdatel’stvo Rossijskoj Akademii Nauk, Sibirskoe Otdelenie. 200 p. (1997).
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On the effect of domain geometry and boundary geometry in some singular perturbation problems. (English) Zbl 0939.35018

Bates, P. W. (ed.) et al., Proceedings of the US-Chinese conference: Differential equations and applications, Hangzhou, China, June 24-29, 1996. Cambridge, MA: International Press. 326-339 (1997).
Reviewer: H.S.Nur (Fresno)
MSC:  35B25 35J65 35B05
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An asymptotic-domain decomposition method for a time-dependent singularly perturbed system. (English) Zbl 0944.76070

Bates, P. W. (ed.) et al., Proceedings of the US-Chinese conference: Differential equations and applications, Hangzhou, China, June 24-29, 1996. Cambridge, MA: International Press. 269-276 (1997).
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Uniform convergence, with respect to a small parameter, of a difference scheme for an elliptic problem in a band. (English. Russian original) Zbl 0914.35010

Mosc. Univ. Comput. Math. Cybern. 1997, No. 2, 7-12 (1997); translation from Vestn. Mosk. Univ., Ser. XV 1997, No. 2, 6-9 (1997).
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Nontrivial solutions for a fourth order O. D. E. with singular boundary conditions. (English) Zbl 0956.34016

Bainov, D. (ed.), Proceedings of the 7th international colloquium on differential equations, Plovdiv, Bulgaria, August 18-23, 1996. Utrecht: VSP. 123-130 (1997).
MSC:  34B15
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Analysis of bifurcation points and nontrivial branches of solutions to the stationary Vlasov-Maxwell system. (English. Russian original) Zbl 0921.35010

Math. Notes 62, No. 2, 223-243 (1997); translation from Mat. Zametki 62, No. 2, 268-292 (1997).
Reviewer: A.Steindl (Wien)
MSC:  35B25 35J55 78A35 35Q60 76X05
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An application of the method of boundary integral equations to the construction of the boundary-layer asymptotics of the solution to a nonlinear singularly perturbed boundary value problem for the heat equation. (English. Russian original) Zbl 0932.35036

Differ. Equations 33, No. 9, 1178-1183 (1997); translation from Differ. Uravn. 33, No. 9, 1174-1180 (1997).
MSC:  35C20 35K20 35B25
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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).
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On the parallel solution of three-dimensional elasticity problems using boundary element collocation methods. (Zur parallelen Lösung von dreidimensionalen Elastizitätsproblemen mit Randelement-Kollokationsverfahren.) (German) Zbl 0927.74077

Stuttgart: Univ. Stuttgart, Fakultät Mathematik, 159 S. (1997).
MSC:  74S15 74S30 74-02 74B99 65Y05
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Boundary element analysis of inverse problems in corrosion engineering. (English) Zbl 0909.65123

Ingham, D. B. et al., Boundary integral formulations for inverse analysis. Southampton: CMP, Computational Mechanics Publications. Advances in Boundary Elements Series. 151-169 (1997).
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Automatic differentiation for the evaluation of singular integrals in two-dimensional boundary element computations. (English) Zbl 0909.65010

Marchetti, M. (ed.) et al., Boundary elements XIX. Proceedings of the 19th international conference on boundary element methods (BEM 19), Rome, Italy, September 9-11, 1997. Southampton: CMP, Computational Mechanics Publications. 677-686 (1997).
MSC:  65D25 65D32 65N38
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A study on evaluation of hypersingular integral representation of boundary potential gradients. (English) Zbl 0909.65014

Marchetti, M. (ed.) et al., Boundary elements XIX. Proceedings of the 19th international conference on boundary element methods (BEM 19), Rome, Italy, September 9-11, 1997. Southampton: CMP, Computational Mechanics Publications. 667-676 (1997).
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The Neumann series as a new challenge for the BEM – a concept for two- and three-dimensional problems in elasticity. (English) Zbl 0921.73257

Marchetti, M. (ed.) et al., Boundary elements XIX. Proceedings of the 19th international conference on boundary element methods (BEM 19), Rome, Italy, September 9-11, 1997. Southampton: CMP, Computational Mechanics Publications. 3-12 (1997).
Reviewer: P.Narain (Bombay)
MSC:  74S15 74B05 65N38
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