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Titlebook: Computer Algebra in Scientific Computing; 22nd International W François Boulier,Matthew England,Evgenii V. Vorozh Conference proceedings 20

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Systems of Commercial Turbofan Enginesblem to the product of bivariate polynomials with balanced coefficients, Toom–Cook approach is shown, pointing out some optimizations in order to reduce the computational cost. As a byproduct, univariate sparse Toom–Cook is also sketched. Lastly, some experimental results concerning performance comp
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https://doi.org/10.1007/978-3-540-73619-6tions within the Basic Polynomial Algebra Subprograms (BPAS) Library. This implementation employs lazy variations of Weierstrass preparation and the factorization of univariate polynomials over power series following Hensel’s lemma. Our implementation is lazy in that power series terms are only comp
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Systems of Commercial Turbofan Engines work has, finally, fully validated. Lazard’s method works for any set of input polynomials, but is less efficient than the method of Brown (2001) which, however, fails for input sets that are not “well-oriented”. The present work improves Lazard’s method so that it is as efficient for well-oriented
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One-dimensional Scalar Equationsble representations of the . and . partner groups in the laboratory and intrinsic frames, respectively. The required orthonormal bases are labelled by the set of the number of bosons ., seniority ., missing label . denoting the maximal number of boson triplets coupled to the angular momentum ., and
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One-dimensional Scalar Equationsion of the phase of vector fields describing guided-wave propagation in inhomogeneous waveguide structures in the adiabatic approximation. The main result of the work was obtained using the model of adiabatic waveguide modes. Highly analytical solution procedure makes it possible to obtain symbolic
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The Two-dimensional Burgers Equationsintrinsic complexity bound for the construction of zero-dimensional Gröbner bases is given. Our complexity bound is in terms of the degree of the input ideal as well as the degrees of its generators. Finally, as an application of the presented method, we exhibit and analyze a (Monte Carlo) probabili
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Plausible Structures for 2-D Euler Systemsstruct the symbolic characteristic function of the system and use it as a starting point for deriving the equations of motion. Stationary solutions of the equations which correspond to permanent rotations of the system are found and their stability in the sense of Lyapunov is investigated. The compu
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