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An optimization approach to finding roots of systems of nonlinear equations

Khamisov O., Kolosnitsyn A. An optimization approach to finding roots of systems of nonlinear equations // IOP Conference Series: Materials Science and Engineering. Vol.537. No.4. ID: 042007. 2019. DOI: 10.1088/1757-899X/537/4/042007 We describe and test an approach to finding roots of systems of nonlinear equations. This ...

Теги: optimization , computational experiment , local search techniques , nonconvex optimization problem , optimization approach , optimization problems , stationary points , system of nonlinear equations , systems
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 the first kind are proposed. The kernels of such equations have jump discontinuities along the continuous curves (endogenous delays) which start...

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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