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Nonlinear systems of Volterra equations with piecewise smooth kernels: Numerical solution and application for power systems operation

Sidorov D., Tynda A., Muftahov I., Dreglea A., Liu F. Nonlinear systems of Volterra equations with piecewise smooth kernels: Numerical solution and application for power systems operation // Mathematics. Vol.8. №8. ID: 1257. 2020. DOI: 10.3390/MATH8081257 The evolutionary integral dynamical models of storage systems are addressed. Such models are based on systems of weakly regular nonlinear Volterra integral equations with piecewise smooth kernels. These equations can have non-unique solutions that...

Теги: direct discretization , discontinuous kernels , energy storage , inverse problem , load leveling , midpoint rectangles , newton-kantorovich method , nonlinear volterra equations , polynomial-collocation schem
Раздел: ИСЭМ СО РАН
Numeric solution of Volterra integral equations of the first kind with discontinuous kernels

Muftahov I., Tynda A., Sidorov D. Numeric solution of Volterra integral equations of the first kind with discontinuous kernels // Journal of Computational and Applied Mathematics. Vol.313. 2017. P.119-128. DOI: 10.1016/j.cam.2016.09.003 Numeric methods for solution of the weakly regular linear and nonlinear evolutionary (Volterra) integral equations of ...

Теги: volterra integral equations , discontinuous kernels , direct quadrature method , regularization , evolving dynamical systems , midpoint quadrature , model , systems
Раздел: ИСЭМ СО РАН


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