Nature CommunicationsThe rapid evolution of quantum devices fuels concerted efforts to experimentally establish quantum advantage over classical computing. Many demonstrations of quantum advantage, however, rely on computational assumptions and face verification challenges ...
Michael de Oliveira +3 more
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Using rational logarithmic basis functions to solve singular differential equations
Electronic Journal of Differential Equations, 2016 Numerical methods based on polynomial approximation perform poorly when applied to singular initial value problems (IVPs). Hence, we are motivated to derive and implement numerical methods involving non-polynomial basis functions such as logarithmic ...
John J. Garwood, Samuel N. Jato
doaj
Heat polynomial analogs for higher order evolution equations
Electronic Journal of Differential Equations, 2001 Polynomial solutions analogous to the heat polynomials are demonstrated for higher order linear homogeneous evolution equations with coefficients depending on the time variable.
G. N. Hile, Alexander Stanoyevitch
doaj
Nonzero Constant Wronskians of Polynomials and Laurent Polynomials, and Geometric Consequences
We characterize the polynomials $p_1(t), ... , p_n(t)$ whose Wronskian $W(p_1, ... , p_n)$ is a nonzero constant. Then, we generalize our results to characterize the Laurent polynomials with the same property. Finally, for rational functions we prove an impossibility result for $n=2$, and pose the case $n \geq 3$ as an open question, although we ...
Hermoso, Carlos, Alcázar, Juan Gerardo
openaire +2 more sources
On hyperbolic polynomial with constant coefficients
Rocky Mountain Journal of Mathematics, 1978 openaire +2 more sources
NP-hardness of testing equivalence to sparse polynomials and to constant-support polynomials
An $s$-sparse polynomial has at most $s$ monomials with nonzero coefficients. The Equivalence Testing problem for sparse polynomials (ETsparse) asks to decide if a given polynomial $f$ is equivalent to (i.e., in the orbit of) some $s$-sparse polynomial.
Baraskar, Omkar +3 more
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Tight Approximation and Kernelization Bounds for Vertex-Disjoint Shortest Paths. [PDF]
Theory Comput SystBentert M, Fomin FV, Golovach PA.
europepmc +1 more source
Sustainable metal recovery from waste printed circuit boards through citric acid leaching using response surface methodology and predictive modelling. [PDF]
RSC AdvIqbal SS, Shah OI, Dutta D.
europepmc +1 more source
Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation. [PDF]
J Sci ComputGómez S, Perinati C, Stocker P.
europepmc +1 more source
Quantifying germination cardinal temperatures of ten forage legumes using non-linear regression models. [PDF]
Front Plant SciShi M +12 more
europepmc +1 more source