2 problems

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Tadmor's strong-stability conjecture for the four-stage Runge–Kutta method
Tadmor's strong-stability conjecture. The four-stage Runge–Kutta method fails strong stability: it is not uniformly similar to a contraction. Equivalently, there is no symmetrizer…
Conjecturesolvednumerical-stability runge-kutta-methods symmetrizersarXiv posted 2 days ago
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The simple-root conjecture for minimal polynomials of adjacent symmetrizer products
Let $S^{(n)}_{1,2,\dots,n}$ be the $n$ th symmetrizer and let $m_n(x)$ be the minimal polynomial of the operator … The construction defines the next symmetrizer by evaluating…
Conjectureopenquantum-groups quantum-matrix-algebras symmetrizersarXiv posted 2 days ago

Tadmor's strong-stability conjecture for the four-stage Runge–Kutta method