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El Profesor Daniele Mortari (Texas A&M University) impartirá el Short Course: “Applications of Functional Interpolation to Optimization”

Short Course: “Applications of Functional Interpolation to Optimization”
 

Imparte:
 

Professor Daniele Mortari (Texas A&M University)



Abstract:
This short course describes how to perform functional interpolation and how to use it to solve constrained optimization problems.
The course is made of two parts:
The theorical part of this course includes:
1)    Univariate functional interpolation by the “η” and the “switching-projection” formulations. Interpolation subject to points, derivatives, integrals, linear operators, components, infinite, and simple nonlinear.
2)    Hard and smooth inequality constraints;
3)    Bivariate/multivariate functional interpolation by the tensor and the recursive formulations;
4)    Domain mapping;

The applications part of this course includes:
5)    Differential and integro-differential equations,
6)    Homotopy continuation,
7)    Under-determined systems (QP and NLP)
8)    Indirect optimal control
9)    Geodesic (curved spaces)
10)    Extension to fractional constraints.
 


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Días: Lunes, martes y miércoles (7,8 y 9 de octubre de 2024)
Hora: 12:00 h.
Lugar: Seminario “Rafael Cid”. Edificio de  Matemáticas, 3ª planta
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