## Found 436 Documents (Results 1–100)

### Hybrid absorbing scheme based on hyperelliptical layers with non-reflecting boundary conditions in scalar wave equations.(English)Zbl 07636523

MSC:  65M60 35M10 86-08
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### Semi-analytic shooting methods for Burgers’ equation.(English)Zbl 1496.65085

MSC:  65L04 34E15 76R50
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### 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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### Parallel high-order resolution of the shallow-water equations on real large-scale meshes with complex bathymetries.(English)Zbl 07605599

MSC:  76Mxx 65Mxx 76Bxx
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### A second-order fractional step method for two-dimensional delay parabolic partial differential equations with a small parameter.(English)Zbl 1495.65134

MSC:  65M06 65M12
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### Analysis and application of a spatial fourth-order finite difference scheme for the Ziolkowski’s PML model.(English)Zbl 07540377

MSC:  65Mxx 78Mxx 78Axx
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### Perfectly matched layers for nonlocal Helmholtz equations. II: Multi-dimensional cases.(English)Zbl 07540346

MSC:  65Nxx 78Axx 65Mxx
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### Homogenization of the system of acoustic equations for layered viscoelastic media.(English. Russian original)Zbl 1486.35030

J. Math. Sci., New York 261, No. 3, 488-501 (2022); translation from Probl. Mat. Anal. 114, 109-120 (2022).
MSC:  35B27 35L53 74Q10
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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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### Parabolic problem with a power-law boundary layer.(English. Russian original)Zbl 1458.35033

Differ. Equ. 57, No. 1, 75-85 (2021); translation from Differ. Uravn. 57, No. 1, 76-86 (2021).
MSC:  35B25 35K20
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### A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems.(English)Zbl 1480.65224

MSC:  65M06 65M12
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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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### Adaptive finite element method for the sound wave problems in two kinds of media.(English)Zbl 1443.65224

MSC:  65M60 76Q05
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### Enriched finite volume approximations of the plane-parallel flow at a small viscosity.(English)Zbl 1447.65051

MSC:  65M08 65N08 76M12
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### Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay.(English)Zbl 1436.35028

MSC:  35B25 65M12 35K57
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MSC:  65M70
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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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### Multi-directional approach of perfectly matched layers.(English)Zbl 1438.65226

MSC:  65M38 35L20

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### A parameter uniform essentially first-order convergent numerical method for a parabolic system of singularly perturbed differential equations of reaction-diffusion type with initial and Robin boundary conditions.(English)Zbl 07012060

MSC:  35K51 35K57 65M06
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### Vanishing viscosity limit of 1D quasilinear parabolic equation with multiple boundary layers.(English)Zbl 1404.35018

MSC:  35B25 35L50 35K51
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### Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers.(English)Zbl 1427.65186

MSC:  65M06 65M12 65M15
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### Fractional step method for singularly perturbed 2D delay parabolic convection diffusion problems on Shishkin mesh.(English)Zbl 1401.65092

MSC:  65M06 65M12 65M15
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### Reproducing kernel method for singularly perturbed one-dimensional initial-boundary value problems with exponential initial layers.(English)Zbl 1448.65079

MSC:  65L11 65L03
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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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### ALE-SUPG finite element method for convection-diffusion problems in time-dependent domains: conservative form.(English)Zbl 1411.65127

MSC:  65M60 65M12
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### Stability of finite difference schemes for hyperbolic initial boundary value problems: numerical boundary layers.(English)Zbl 1399.65203

MSC:  65M12 65M06
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### Nearly perfectly matched layer boundary conditions for operator upscaling of the acoustic wave equation.(English)Zbl 1383.65091

MSC:  65M06 35L05
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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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### A second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film.(English)Zbl 1359.65161

MSC:  65M06 65M12 35K05
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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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