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Solving Large-Scale Generalized Algebraic Bernoulli Equations via the Matrix Sign FunctionBarrachina, Sergio, Benner, Peter, Quintana-Ortí, Enrique S. 11 September 2006 (has links) (PDF)
We investigate the solution of large-scale generalized algebraic Bernoulli equations as those arising in control and systems theory in the context of stabilization of linear dynamical systems, coprime factorization of rational matrix-valued functions, and model reduction. The algorithms we propose, based on a generalization of the Newton iteration for the matrix sign function, are easy to parallelize, yielding an efficient numerical tool to solve large-scale problems. Both the accuracy and the parallel performance of our implementations on a cluster of Intel Xeon processors are reported.
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Solving Large-Scale Generalized Algebraic Bernoulli Equations via the Matrix Sign FunctionBarrachina, Sergio, Benner, Peter, Quintana-Ortí, Enrique S. 11 September 2006 (has links)
We investigate the solution of large-scale generalized algebraic Bernoulli equations as those arising in control and systems theory in the context of stabilization of linear dynamical systems, coprime factorization of rational matrix-valued functions, and model reduction. The algorithms we propose, based on a generalization of the Newton iteration for the matrix sign function, are easy to parallelize, yielding an efficient numerical tool to solve large-scale problems. Both the accuracy and the parallel performance of our implementations on a cluster of Intel Xeon processors are reported.
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Aerodynamické měření / Aerodynamic measurementHEJNA, Tomáš January 2014 (has links)
This MA thesis focuses on the aerodynamic measurement in the teaching of physics using the Leybold Didactic didactic set. The thesis consists of instructions for solving 4 basic problems using the Leybold set; every problem comprises theoretical instructions for students and an experimental verification of the problem. The thesis should contribute to wider use of experimental teaching of physics in schools; also, it is supposed to serve teachers and students as a source of interesting laboratory assignments verifying aerodynamic laws and quantities. After minor adjustments, the thesis can be used in all types of schools, from elementary physics at primary schools to advanced physics at technical universities.
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Analysis of Unsteady Incompressible Potential Flow Over a Swimming Slender Fish and a Swept Wing TailNathan, Vinay January 2015 (has links) (PDF)
This thesis deals with computing the pressure distribution around a swimming slender fish
and the thrust generated by its flapping motion. The body of the fish is modeled as a missile like slender body to which a tail is attached that is modeled as a swept wing. The tail is attached to the tip of the slender body and maintains its slope with it. The motion for the swimming fish is prescribed. The fluid flow is modeled as an unsteady potential flow problem with the flow around the slender body modeled as flow over an array of cylinders of varying radii and the flow over the swept wing modeled using the vortex panel method.
The pressure distribution is computed using the unsteady Bernoulli equation. The overall
thrust & drag for different parameters are studied and compared
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