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Botoroeva, M. N.; Bulatov, M. V.

Stability analysis of nonclassical difference schemes for nonlinear Volterra integral equations of the second kind. (English. Russian original) Zbl 07723269

Comput. Math. Math. Phys. 63, No. 6, 919-928 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 6, 881-890 (2023).
MSC:  65R20 45D05
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\textit{M. N. Botoroeva} and \textit{M. V. Bulatov}, Comput. Math. Math. Phys. 63, No. 6, 919--928 (2023; Zbl 07723269); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 6, 881--890 (2023)
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Vabishchevich, P. N.

On stability of an approximate solution of the Cauchy problem for some first-order integrodifferential equations. (English. Russian original) Zbl 07681794

Comput. Math. Math. Phys. 63, No. 2, 311-318 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 2, 328-335 (2023).
MSC:  65-XX 35-XX
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\textit{P. N. Vabishchevich}, Comput. Math. Math. Phys. 63, No. 2, 311--318 (2023; Zbl 07681794); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 2, 328--335 (2023)
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Ladonkina, Marina Evgen’evna; Poveshchenko, Yuriĭ Andreevich; Ragimli, Orkhan Ragimovich; Zhang, Haochen

Theoretical study of stability of nodal completely conservative difference schemes with viscous filling for gas dynamics equations in Euler variables. (Russian. English summary) Zbl 07663128

Zh. Sredn. Mat. Obshch. 24, No. 3, 317-330 (2022).
MSC:  65M22
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\textit{M. E. Ladonkina} et al., Zh. Sredn. Mat. Obshch. 24, No. 3, 317--330 (2022; Zbl 07663128)
Full Text: DOI MNR
Vabishchevich, P. N.

Splitting schemes for one class of operator differential equations. (English. Russian original) Zbl 1496.65131

Comput. Math. Math. Phys. 62, No. 7, 1033-1040 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 7, 1059-1066 (2022).
MSC:  65M06 65N06 35K70 76A10 35Q35
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\textit{P. N. Vabishchevich}, Comput. Math. Math. Phys. 62, No. 7, 1033--1040 (2022; Zbl 1496.65131); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 7, 1059--1066 (2022)
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De Luna, Manuel Quezada; Ketcheson, David I.

Maximum principle preserving space and time flux limiting for diagonally implicit Runge-Kutta discretizations of scalar convection-diffusion equations. (English) Zbl 1503.65198

J. Sci. Comput. 92, No. 3, Paper No. 102, 28 p. (2022).
Reviewer: Abdallah Bradji (Annaba)
MSC:  65M08 65M06 65L06 65N08 65M12 35L65 76R50 76M12 76M20
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\textit{M. Q. De Luna} and \textit{D. I. Ketcheson}, J. Sci. Comput. 92, No. 3, Paper No. 102, 28 p. (2022; Zbl 1503.65198)
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Beshtokova, Zar’yana Vladimirovna

Numerical method for solving an initial-boundary value problem for a multidimensional loaded parabolic equation of a general form with conditions of the third kind. (Russian. English summary) Zbl 1499.65607

Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 26, No. 1, 7-35 (2022).
MSC:  65N06 65N12 35K20
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\textit{Z. V. Beshtokova}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 26, No. 1, 7--35 (2022; Zbl 1499.65607)
Full Text: DOI MNR
Li, Jian; Wang, Xue; Al Mahbub, Md. Abdullah; Zheng, Haibiao; Chen, Zhangxin

Local and parallel efficient BDF2 and BDF3 rotational pressure-correction schemes for a coupled Stokes/Darcy system. (English) Zbl 1491.65098

J. Comput. Appl. Math. 412, Article ID 114326, 18 p. (2022).
Reviewer: Bülent Karasözen (Ankara)
MSC:  65M60 65M06 65N30 65M12 65M55 65Y05 76S05 76D07 35J05
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\textit{J. Li} et al., J. Comput. Appl. Math. 412, Article ID 114326, 18 p. (2022; Zbl 1491.65098)
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Ishwariya, R.; Miller, John J. H.; Sigamani, Valarmathi

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 1506.65123

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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\textit{R. Ishwariya} et al., Springer Proc. Math. Stat. 368, 117--145 (2021; Zbl 1506.65123)
Full Text: DOI arXiv
Mariappan, Manikandan; Miller, John J. H.; Sigamani, Valarmathi

A first-order convergent parameter-uniform numerical method for a singularly perturbed second-order delay-differential equation of reaction-diffusion type with a discontinuous source term. (English) Zbl 1506.65092

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, 73-94 (2021).
MSC:  65L03 34K26 65L10 65L11 65L12 65L20
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\textit{M. Mariappan} et al., Springer Proc. Math. Stat. 368, 73--94 (2021; Zbl 1506.65092)
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Michel-Dansac, Victor; Thomann, Andrea

On high-precision \(L^\infty \)-stable IMEX schemes for scalar hyperbolic multi-scale equations. (English) Zbl 1482.65150

Muñoz-Ruiz, María Luz (ed.) et al., Recent advances in numerical methods for hyperbolic PDE systems. NumHyp 2019. Selected papers based on the presentations at the 6th international conference on numerical methods for hyperbolic problems, Málaga, Spain, June 17–21, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 28, 79-94 (2021).
Reviewer: Bülent Karasözen (Ankara)
MSC:  65M06 65N06 65M20 65M12 65L06 35B45
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\textit{V. Michel-Dansac} and \textit{A. Thomann}, SEMA SIMAI Springer Ser. 28, 79--94 (2021; Zbl 1482.65150)
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Alikhanov, A. A.; Beshtokov, M. Kh.; Shkhanukov-Lafishev, M. Kh.

Local one-dimensional scheme for the first initial-boundary value problem for the multidimensional fractional-order convection-diffusion equation. (English. Russian original) Zbl 1496.65102

Comput. Math. Math. Phys. 61, No. 7, 1075-1093 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 7, 1082-1100 (2021).
MSC:  65M06 65N06 65M12 35B50 35B45 26A33 35R11 76R50 35Q35
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\textit{A. A. Alikhanov} et al., Comput. Math. Math. Phys. 61, No. 7, 1075--1093 (2021; Zbl 1496.65102); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 7, 1082--1100 (2021)
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Matus, P. P.; Hoang Thi Kieu Anh

Compact difference schemes on a three-point stencil for second-order hyperbolic equations. (English. Russian original) Zbl 1496.65124

Differ. Equ. 57, No. 7, 934-946 (2021); translation from Differ. Uravn. 57, No. 7, 963-975 (2021).
MSC:  65M06 65N06 65M12 35L10 35L72 35B20 35Q53
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\textit{P. P. Matus} and \textit{Hoang Thi Kieu Anh}, Differ. Equ. 57, No. 7, 934--946 (2021; Zbl 1496.65124); translation from Differ. Uravn. 57, No. 7, 963--975 (2021)
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