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cs.SC2015
Symbolic-numeric methods for improving structural analysis of differential-algebraic equation systems
Guangning Tan, Ned S. Nedialkov, John D. Pryce
Systems of differential-algebraic equations (DAEs) are generated routinely by simulation and modeling environments such as Modelica and MapleSim. Before a simulation starts and a n…
math.NT2015
On Higher Dimensional Fibonacci Numbers, Chebyshev Polynomials and Sequences of Vector Convergents
Mark W. Coffey, James L. Hindmarsh, Matthew C. Lettington +1
We study higher-dimensional interlacing Fibonacci sequences, generated via both Chebyshev type functions and -dimensional recurrence relations. For each integer , there exist…