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Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography

Sizikov V., Sidorov D. Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography // Applied Numerical Mathematics. Vol.106. 2016. P.69-78. DOI: 10.1016/j.apnum.2016.03.004 http://www.sciencedirect.com/science/article/pii/S0168927416300344 We propose the generalized quadrature methods for numerical solution of singular integral equation of Abel type. We overcome the singularity using the analytic computation of the singular integral. The problem...

Теги: linear algebra , linear equations , numerical methods , tomography , abel equation , generalized quadrature , infrared tomography , quadrature , regularization , singular kernel , integral equations
Раздел: ИСЭМ СО РАН
Using the Interior Point Method to Find Normal Solutions to a System of Linear Algebraic Equations with Bilateral Constraints on Variables*

... Algebraic Equations with Bilateral Constraints on Variables* // Cybernetics and Systems Analysis. Vol.51. No.6. 2015. P.896-904. DOI: 10.1007/s10559-015-9782-1 The authors consider primal interior point algorithms to find normal solutions to systems of linear equations with bilateral constraints on variables. Analyzing this problem and the methods of its solution is important to develop the theory of mathematical modeling (in particular, to solve power engineering problems) and to create efficient computational ...

Теги: algorithms , computation theory , computational efficiency , linear algebra , linear equations , linear programming , problem solving , bilateral constraints , computational algorithm , experimental analysis
Раздел: ИСЭМ СО РАН


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