Interior Dual Optimization Software Engineering with Applications in BCS Electronics Superconductivity Interior Dual Optimization Software Engineering with Applications in BCS Electronics Superconductivity
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Abstract
Interior optimization software and algorithms programming methods provide a computational tool with
a number of applications. Theory and computational demonstrations/techniques were primarily shown
in previous articles. The mathematical framework of this new method, (Casesnoves, 2018–2020), was
also proven.The links among interior optimization, graphical optimization (Casesnoves, 2016–7), and
classical methods in non-linear equations systems were developed. This paper is focused on software
engineering with mathematical methods implementation in programming as a primary subject. The
specific details for interior optimization computational adaptation on every specific problem, such as
engineering, physics, and electronics physics, are explained. Second subject is electronics applications
of software in the field of superconductors. It comprises a series of new BCS equation optimization
for Type I superconductors, based on previous research for other different Type I superconductors
previously published. A new dual optimization for two superconductors is simulated. Results are
acceptable with low errors and imaging demonstrations of the interior optimization utility.
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