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Hodograph method for solving the overturned shallow water problem. (English. Russian original) Zbl 07491039

Comput. Math. Math. Phys. 62, No. 1, 106-116 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 1, 113-123 (2022).
MSC:  76-XX 35-XX
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Assessing the frequency dispersion influence on the solitary-wave interaction with a constant sloping beach. (English. Russian original) Zbl 07502481

J. Appl. Mech. Tech. Phys. 62, No. 4, 624-632 (2021); translation from Prikl. Mekh. Tekh. Fiz. 62, No. 5, 114-123 (2021).
MSC:  76-XX 86-XX
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A generalised Serre-Green-Naghdi equations for variable rectangular open channel hydraulics and its finite volume approximation. (English) Zbl 1481.76028

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, 251-268 (2021).
MSC:  76B07 76M12
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Pseudo-compressibility, dispersive model and acoustic waves in shallow water flows. (English) Zbl 07451993

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, 209-250 (2021).
MSC:  35Qxx 76-XX
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Residual based method for sediment transport. (English) Zbl 1481.76148

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, 193-206 (2021).
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Structure-preserving reduced-order modeling of non-traditional shallow water equation. (English) Zbl 1480.93068

Benner, Peter (ed.) et al., Model reduction of complex dynamical systems. Selected papers based on the presentations at the workshop, University of Graz, Graz, Austria, August 28–30, 2019. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 171, 327-345 (2021).
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Symmetries and conservation laws of the equations of two-dimensional shallow water over uneven bottom. (English) Zbl 1479.35034

Sadovnichiy, Victor A. (ed.) et al., Contemporary approaches and methods in fundamental mathematics and mechanics. Cham: Springer. Underst. Complex Syst., 113-163 (2021).
MSC:  35B06 35Q35 76M60
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The water wave problem and Hamiltonian transformation theory. (English) Zbl 1479.76013

Bodnár, Tomáš (ed.) et al., Waves in flows. Based on lectures given at the summer school, Prague, Czech Republic, August 27–31, 2018. Cham: Birkhäuser. Adv. Math. Fluid Mech., 113-196 (2021).
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