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Found 436 Documents (Results 1–100)

Asymptotic solution of the boundary control problem for a Burgers-type equation with modular advection and linear gain. (English. Russian original) Zbl 07626878

Comput. Math. Math. Phys. 62, No. 11, 1849-1858 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 11, 1851-1860 (2022).
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A parameter-uniform essentially first-order convergence of a fitted mesh method for a class of parabolic singularly perturbed system of Robin problems. (English) Zbl 07615243

Sigamani, Valarmathi (ed.) et al., Differential equations and applications. Selected papers based on the presentations at the international conference on applications of basic science, ICABS 2019, Tiruchirappalli, India, November 19–21, 2019. Singapore: Springer. Springer Proc. Math. Stat. 368, 117-145 (2021).
MSC:  65M06 35K57 65M12
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Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications. (English. Russian original) Zbl 1481.35009

Comput. Math. Math. Phys. 61, No. 12, 2068-2087 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 12, 2074-2094 (2021).
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On unstable solutions with a nonmonotone boundary layer in a two-dimensional reaction-diffusion problem. (English. Russian original) Zbl 1481.35028

Math. Notes 110, No. 6, 922-931 (2021); translation from Mat. Zametki 110, No. 6, 899-910 (2021).
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Existence and stability of the solution to a system of two nonlinear diffusion equations in a medium with discontinuous characteristics. (English. Russian original) Zbl 07444580

Comput. Math. Math. Phys. 61, No. 11, 1811-1833 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 11, 1850-1872 (2021).
MSC:  35B25 35K51 35K58
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On the motion, amplification, and blow-up of fronts in Burgers-type equations with quadratic and modular nonlinearity. (English. Russian original) Zbl 1477.35017

Dokl. Math. 102, No. 1, 283-287 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 26-31 (2020).
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On a periodic inner layer in the reaction-diffusion problem with a modular cubic source. (English. Russian original) Zbl 1451.35017

Comput. Math. Math. Phys. 60, No. 9, 1461-1479 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 9, 1513-1532 (2020).
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Asymptotic stability of a stationary solution of a multidimensional reaction-diffusion equation with a discontinuous source. (English. Russian original) Zbl 1423.35232

Comput. Math. Math. Phys. 59, No. 4, 573-582 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 4, 611-620 (2019).
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On a reliable numerical method for a singularly perturbed parabolic reaction-diffusion problem in a doubly connected domain. (English) Zbl 1434.65139

Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 558-565 (2019).
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Numerical approximation of a time fractional-derivative initial-boundary value problem with boundary layers. (English) Zbl 1448.65100

López de Silanes, M. C. (ed.) et al., Fourteenth international conference Zaragoza-Pau on mathematics and its applications. Proceedings of the conference, Jaca, Spain, September 12–15, 2016. Zaragoza: Prensas de la Universidad de Zaragoza. Monogr. Mat. García Galdeano 41, 95-105 (2018).
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Asymptotic-numerical method for the location and dynamics of internal layers in singular perturbed parabolic problems. (English) Zbl 1368.65167

Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 721-729 (2017).
MSC:  65M22 35K57 35B25
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Finite element and discontinuous Galerkin methods for transient wave equations. (English) Zbl 1360.65233

Scientific Computation. Dordrecht: Springer (ISBN 978-94-017-7759-9/hbk; 978-94-017-7761-2/ebook). xvii, 381 p. (2017).
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