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Prins, Peter J. (author), Wahls, S. (author)Non-linear Fourier Transforms (NFTs) enable the analysis of signals governed by certain non-linear evolution equations in a way that is analogous to how the conventional Fourier transform is used to analyse linear wave equations. Recently, fast numerical algorithms have been derived for the numerical computation of certain NFTs. In this paper,...conference paper 2018
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Smirnova, Vera B. (author), Proskurnikov, A.V. (author)Singularly perturbed integro-differential Volterra equations with MIMO periodic nonlinearities are considered, which describe synchronization circuits (such as phase- and frequency-locked loops) and many other “pendulum-like” systems. Similar to the usual pendulum equation, such systems are typically featured by infinite sequences of...conference paper 2017
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Le, Q.T. (author), van den Boom, A.J.J. (author), Baldi, S. (author)This paper investigates the identification of continuous piecewise affine systems in state space form with jointly unknown partition and subsystem matrices. The partition of the system is generated by the so-called centers. By representing continuous piecewise affine systems in the max-form and using a recursive Gauss-Newton algorithm for a...conference paper 2016
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Qiu, Y. (author), Van Gijzen, M.B. (author), Van Winderden, J.W. (author), Verhaegen, M.H.G. (author)This paper presents a class of preconditioners for sparse systems arising from discretized partial differential equations (PDEs). In this class of preconditioners, we exploit the multilevel sequentially semiseparable (MSSS) structure of the system matrix. The off-diagonal blocks of MSSS matrices are of low-rank, which enables fast computations...conference paper 2013
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Vos, P.E.J. (author), Gerritsma, M.I. (author)This papers describes the use of the Least-Squares Spectral Element Method to polynomial Chaos to solve stochastic partial differential equations. The method will be described in detail and a comparison will be presented between the least-squares projection and the conventional Galerkin projection.conference paper 2006
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Vos, P.E.J. (author), Gerritsma, M.I. (author)This papers describes the use of the Least-Squares Spectral Element Method to polynomial Chaos to solve stochastic partial differential equations. The method will be described in detail and a comparison will be presented between the least-squares projection and the conventional Galerkin projection.conference paper 2006
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Soulard, O. (author), Sabel'nikov, V. (author)In the field of turbulent combustion, Lagrangian Monte Carlo (LMC) methods (Pope, 85) have become an essential component of the probability density function (PDF) approach. LMC methods are based on stochastic particles, which evolve from prescribed stochastic ordinary differential equations (SODEs). They are used to compute the one-point...conference paper 2006
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- Hemker, P.W. (author), Wesseling, P. (author), De Zeeuw, P.W. (author) conference paper 1984