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Jain, A. (author), Marykovskiy, Yuriy (author), Metrikine, A. (author), van Dalen, K.N. (author)Railway transition zones (RTZs) are regions where abrupt track stiffness changes occur that may lead to dynamic amplifications and subsequent track deterioration. The design challenges for these zones arise due to variations in material properties in both the depth (trackbed layers composed of different materials) and longitudinal directions of...journal article 2024
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Huber, Katharina T. (author), van Iersel, L.J.J. (author), Janssen, R. (author), Jones, M.E.L. (author), Moulton, V.L. (author), Murakami, Yukihiro (author), Semple, Charles (author)This paper studies the relationship between undirected (unrooted) and directed (rooted) phylogenetic networks. We describe a polynomial-time algorithm for deciding whether an undirected nonbinary phylogenetic network, given the locations of the root and reticulation vertices, can be oriented as a directed nonbinary phylogenetic network....journal article 2024
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Shang, Y. (author), Nogal Macho, M. (author), Teixeira, Rui (author), Wolfert, A.R.M. (author)The use of sensitivity analysis is essential in model development for the purposes of calibration, verification, factor prioritization, and mechanism reduction. While most contributions to sensitivity methods focus on the average model response, this paper proposes a new sensitivity method focusing on the extreme response and structural limit...journal article 2023
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Takali, Farid (author), Nirwal, Sonal (author), Othmani, Cherif (author), Groves, R.M. (author)It has been shown that the roots of guided waves in laminate plates produced by the ordinary differential equations (ODE) approach may not hold under to some computational conditions. A particular drawback of the 2D formulation of the ODE approach is the lack of reliability in the case of unidirectional laminates due to the decoupling...journal article 2023
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Mulder, W.A. (author)Finite elements with polynomial basis functions on the simplex with a symmetric distribution of nodes should have a unique polynomial representation. Unisolvence not only requires that the number of nodes equals the number of independent polynomials spanning a polynomial space of a given degree, but also that the Vandermonde matrix...journal article 2023
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van Iersel, L.J.J. (author), Moulton, Vincent (author), Murakami, Yukihiro (author)Graph invariants are a useful tool in graph theory. Not only do they encode useful information about the graphs to which they are associated, but complete invariants can be used to distinguish between non-isomorphic graphs. Polynomial invariants for graphs such as the well-known Tutte polynomial have been studied for several years, and...journal article 2023
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Rojo-Santiago, Jesús (author), Korevaar, Erik (author), Perko, Z. (author), Both, Stefan (author), Habraken, S.J.M. (author), Hoogeman, M.S. (author)Background and purpose: In the Netherlands, head-and-neck cancer (HNC) patients are referred for proton therapy (PT) through model-based selection (MBS). However, treatment errors may compromise adequate CTV dose. Our aims are: (i) to derive probabilistic plan evaluation metrics on the CTV consistent with clinical metrics; (ii) to evaluate...journal article 2023
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Tan, Xiaotong (author), Xu, Heyong (author), Tian, R. (author)Delayed detached eddy simulation (DDES) is used to simulate the flow field around the conformal optical window turret and the flat optical window turret. The aero-optical effect and the far-field diffraction result of the two optical windows at 0°, 90° and 180° angles are quantitatively analyzed based on the flow field around the turret....journal article 2023
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Carlet, Claude (author), Picek, S. (author)We derive necessary conditions related to the notions, in additive combinatorics, of Sidon sets and sum-free sets, on those exponents d ∈ Z/(2<sup>n</sup> − 1)Z, which are such that F (x) = x<sup>d</sup> is an APN function over F<sub>2</sub>n (which is an important cryptographic property). We study to what extent these new conditions may...journal article 2023
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Fečkan, Michal (author), Marynets, K. (author)We study a nonlinear fractional boundary value problem (BVP) subject to non-local multipoint boundary conditions. By introducing an appropriate parametrization technique we reduce the original problem to an equivalent one with already two-point restrictions. Using a notion of Chebyshev nodes and Lagrange polynomials we construct a successive...journal article 2023
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Rojo-Santiago, Jesús (author), Habraken, S.J.M. (author), Romero, Alejandra Méndez (author), Lathouwers, D. (author), Wang, Yibing (author), Perko, Z. (author), Hoogeman, M.S. (author)Objective. The Dutch proton robustness evaluation protocol prescribes the dose of the clinical target volume (CTV) to the voxel-wise minimum (VWmin) dose of 28 scenarios. This results in a consistent but conservative near-minimum CTV dose (D98%,CTV). In this study, we analyzed (i) the correlation between VWmin/voxel-wise maximum (VWmax)...journal article 2023
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Groenevelt, W.G.M. (author), Wagenaar, C.C.M.L. (author)An algebra is introduced which can be considered as a rank 2 extension of the Askey–Wilson algebra. Relations in this algebra are motivated by relations between coproducts of twisted primitive elements in the two-fold tensor product of the quantum algebra U<sub>q</sub> (sl(2, C)). It is shown that bivariate q-Racah polynomials appear as...journal article 2023
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Zhang, Xiang (author), Blaauboer, M. (author)We theoretically investigate the enhancement of the charging power in a Dicke quantum battery which consists of an array of N two-level systems (TLS)coupled to a single mode of cavity photons. In the limit of small N, we analytically solve the time evolution for the full charging process. The eigenvectors of the driving Hamiltonian are found...journal article 2023
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Marinescu, M. (author), Olivares, Alberto (author), Staffetti, Ernesto (author), Sun, Junzi (author)This paper addresses the problem of spatiotemporal wind velocity field estimation for air traffic management applications. Using data obtained from aircraft, the eastward and northward components of the wind velocity field inside a specific air space are calculated as functions of time. Both short-term wind velocity field forecasting and wind...journal article 2023
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Markovich, L. (author), Migliore, Agostino (author), Messina, Antonino (author)We introduce the concept of the almost-companion matrix (ACM) by relaxing the non-derogatory property of the standard companion matrix (CM). That is, we define an ACM as a matrix whose characteristic polynomial coincides with a given monic and generally complex polynomial. The greater flexibility inherent in the ACM concept, compared to CM,...journal article 2023
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van der Toorn, R. (author)Legendre’s equation is key in various branches of physics. Its general solution is a linear function space, spanned by the Legendre functions of the first and second kind. In physics, however, commonly the only acceptable members of this set are Legendre polynomials. The quantization of the eigenvalues of Legendre’s operator is a consequence of...journal article 2022
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Jansen, J.D. (author), Meulenbroek, B.J. (author)We address aseismic fault slip and the onset of seismicity resulting from depletion-induced or injection-induced stresses in reservoirs with pre-existing vertical or inclined faults. Building on classic results, we discuss semi-analytical modelling techniques for fault slip including dislocation theory, Cauchy-type singular integral equations...journal article 2022
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Yang, Maosheng (author), Isufi, E. (author), Schaub, Michael T. (author), Leus, G.J.T. (author)We study linear filters for processing signals supported on abstract topological spaces modeled as simplicial complexes, which may be interpreted as generalizations of graphs that account for nodes, edges, triangular faces, etc. To process such signals, we develop simplicial convolutional filters defined as matrix polynomials of the lower and...journal article 2022
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Lager, I.E. (author), Stumpf, Martin (author), Vandenbosch, Guy A.E. (author), Antonini, Giulio (author)The late-time evaluation of electromagnetic (EM) field quantities yielded by convolution integrals that combine Green's functions available at discrete time samples and strictly causal excitations is critically revisited. A typical situation is used for tracing the causes of the divergent late-time behavior that is often experienced. A...journal article 2022
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van Iersel, L.J.J. (author), Kole, Sjors (author), Moulton, Vincent (author), Nipius, L. (author)Evolutionary histories for species that cross with one another or exchange genetic material can be represented by leaf-labelled, directed graphs called phylogenetic networks. A major challenge in the burgeoning area of phylogenetic networks is to develop algorithms for building such networks by amalgamating small networks into a single large...journal article 2022