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pro vyhledávání: '"35"'
Autor:
Vigneron, François, Mihalache, Nicolae
This article presents a new algorithm to compute all the roots of two families of polynomials that are of interest for the Mandelbrot set $\mathcal{M}$ : the roots of those polynomials are respectively the parameters $c\in\mathcal{M}$ associated with
Externí odkaz:
http://arxiv.org/abs/2402.06083
Autor:
Mueller, Andreas
Publikováno v:
Mechanism and Machine Theory, Vol. 142, 2019, 103594, 35 pages
The motions of mechanisms can be described in terms of screw coordinates by means of an exponential mapping. The product of exponentials (POE) describes the configuration of a chain of bodies connected by lower pair joints. The kinematics is thus giv
Externí odkaz:
http://arxiv.org/abs/2309.05055
Many multiscale wave systems exhibit macroscale emergent behaviour, for example, the fluid dynamics of floods and tsunamis. Resolving a large range of spatial scales typically requires a prohibitively high computational cost. The small dissipation in
Externí odkaz:
http://arxiv.org/abs/2210.15823
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gauss-type quadrature formula is used to approximate integrals during the discretisation
Externí odkaz:
http://arxiv.org/abs/2111.11706
The Equation-Free approach to efficient multiscale numerical computation marries trusted micro-scale simulations to a framework for numerical macro-scale reduction -- the patch dynamics scheme. A recent novel patch scheme empowered the Equation-Free
Externí odkaz:
http://arxiv.org/abs/2108.11568
Since they were introduced in the 1990s, Lie group integrators have become a method of choice in many application areas. These include multibody dynamics, shape analysis, data science, image registration and biophysical simulations. Two important cla
Externí odkaz:
http://arxiv.org/abs/2102.12778
Publikováno v:
Nonlinearity 35 (2022) 1500-1520
Using the recently developed theory of rigorously validated numerics, we address the Phase-Field-Crystal (PFC) model at the microscopic (atomistic) level. We show the existence of critical points and local minimizers associated with "classical" candi
Externí odkaz:
http://arxiv.org/abs/2102.02338
Publikováno v:
Discrete Contin. Dyn. Syst., 35 (5), 2079-2098, 2015
In this paper we study linear projection methods for approximating the solution and simultaneously preserving first integrals of autonomous ordinary differential equations. We show that (linear) projection methods are a subset of discrete gradient me
Externí odkaz:
http://arxiv.org/abs/1302.2713
Publikováno v:
SIAM Journal on Scientific Computing, Vol. 35, Iss. 5, pp. B1010-B1033, 2013
In this paper, we investigate interpolatory projection framework for model reduction of descriptor systems. With a simple numerical example, we first illustrate that employing subspace conditions from the standard state space settings to descriptor s
Externí odkaz:
http://arxiv.org/abs/1301.4524
Autor:
Kirillov, Oleg N., Verhulst, Ferdinand
Publikováno v:
Zeitschrift fuer angewandte Mathematik und Mechanik-ZAMM, 90, No. 6, 462--488 (2010)
The paradox of destabilization of a conservative or non-conservative system by small dissipation, or Ziegler's paradox (1952), has stimulated an ever growing interest in the sensitivity of reversible and Hamiltonian systems with respect to dissipativ
Externí odkaz:
http://arxiv.org/abs/0906.1650