Eigenvalue optimisation problems involve identifying design or material configurations that either maximise or minimise the eigenvalues associated with differential operators under given boundary ...
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Abstract: This paper shows that a combination of: 1) the computation time-saving transfer function and eigenfunction analysis (TFEA) method, 2) eigenvalue sensitivity concept, and 3) optimization ...
In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. A group of nine mathematicians has proved the ...
Linear finite-element analysis does not provide enough information about buckling to make correct design decisions, especially when designing lightweight components ...
Eigenvalues play a crucial role in various fields of study like physics, engineering, and mathematics. They are essential for understanding matrix diagonals, linear transformations, and eigenfunction ...
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