Searched for: subject:"splines"
(1 - 20 of 42)

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Wobbes, E. D. (author), Möller, M. (author), Galavi, V. (author), Vuik, Cornelis (author)
The material point method (MPM) is an effective computational tool for simulating problems involving large deformations. However, its direct mapping of the material-point data to the background grid frequently leads to severe inaccuracies. The standard function reconstruction techniques can considerably decrease these errors, but do not...
conference paper 2020
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Wobbes, Elizaveta (author), Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author)
Both the material-point method (MPM) and optimal transportation meshfree (OTM) method have been developed to efficiently solve partial differential equations that are based on the conservation laws from continuum mechanics. However, the methods are derived in a different fashion and have been studied independently of one another. In this...
journal article 2020
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Wobbes, E.D. (author)
The material-point method (MPM) is a continuum-based numerical tool to simulate problems that involve large deformations. Within MPM, a continuum is discretized by defining a set of Lagrangian particles, called material points, which store all relevant material properties. Themethod adopts an Eulerian background grid, where the equations of...
doctoral thesis 2019
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Amiri Simkooei, A. (author), Koop, L. (author), van der Reijden, Karin J. (author), Snellen, M. (author), Simons, D.G. (author)
Seafloor characterization using multibeam echosounder (MBES) backscatter data is an active field of research. The observed backscatter curve (OBC) is used in an inversion algorithm with available physics-based models to determine the seafloor geoacoustic parameters. A complication is that the OBC cannot directly be coupled to the modeled...
journal article 2019
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Olivares-Pulido, G. (author), Terkildsen, M. (author), Arsov, K. (author), Teunissen, P.J.G. (author), Khodabandeh, A. (author), Janssen, V. (author)
Successful implementation of integer ambiguity resolution enabled precise point positioning (aka PPP-RTK) algorithms is inextricably linked to the ability of a user to perform near real-time positioning by quickly and reliably resolving the integer carrier-phase ambiguities. In the PPP-RTK technique, a major barrier to successful ambiguity...
journal article 2019
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Le Floch, F.L.Y. (author), Oosterlee, C.W. (author)
This paper explores the stochastic collocation technique, applied on a monotonic spline, as an arbitrage-free and model-free interpolation of implied volatilities. We explore various spline formulations, including B-spline representations. We explain how to calibrate the different representations against market option prices, detail how to...
journal article 2019
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Tran, Quoc-Anh (author), Wobbes, E.D. (author), Sołowski, Wojciech (author), Möller, M. (author), Vuik, C. (author)
The paper shows a moving least squares reconstruction technique applied to the B-spline Material Point Method (B-spline MPM). It has been shown previously that B-spline MPM can reduce grid-crossing errors inherent in the original Material Point Method. However, in the large deformation regime where the gridcrossing occurs more frequently, the...
conference paper 2019
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Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, C. (author)
The Material Point Method (MPM) has been applied successfully to problems in engineering which involve large deformations and history-dependent material behavior. However, the classical method suffers from some shortcomings which influence the quality of the numerical solution significantly. High-order B-spline basis functions solve the problem...
conference paper 2019
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Wobbes, E.D. (author), Möller, M. (author), Galavi, Vahid (author), Vuik, C. (author)
Within the standard material point method (MPM), the spatial errors are partially caused by the direct mapping of material-point data to the background grid. In order to reduce these errors, we introduced a novel technique that combines the least squares method with the Taylor basis functions, called the Taylor least squares (TLS), to...
journal article 2019
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Hill, Robert J. (author), Melser, Daniel (author)
While residential real estate is a key component of household wealth little is known about the investment characteristics of different types of properties. This paper outlines and applies a methodology for examining the variation in risk and return of individual homes. We use large data sets of home prices and rents for Sydney, Australia, from...
conference paper 2017
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van Erp, H.R.N. (author), Linger, R.O. (author), van Gelder, P.H.A.J.M. (author)
It is a relatively well-known fact that in problems of Bayesian model selection, improper priors should, in general, be avoided. In this paper we will derive and discuss a collection of four proper uniform priors which lie on an ascending scale of informativeness. It will turn out that these priors lead us to evidences that are closely...
journal article 2017
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Tielen, R.P.W.M. (author), Wobbes, Elizaveta (author), Möller, M. (author), Beuth, Lars (author)
The classical material point method (MPM) developed in the 90s is known for drawbacks which affect the quality of results. The movement of material points from one element to another leads to non-physical oscillations known as ‘grid crossing errors’. Furthermore, the use of material points as integration points renders a numerical quadrature...
journal article 2017
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Tol, H.J. (author), de Visser, C.C. (author), Kotsonis, M. (author)
A new methodology is presented for model reduction of linear parabolic partial differential equations (PDEs) on general geometries using multivariate splines on triangulations. State-space descriptions are derived that can be used for control design. This method uses Galerkin projection with B-splines to derive a finite set of ordinary...
journal article 2016
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Lashkarbolok, M. (author), Izadi, S. (author), Alemi, H. (author), Drost, S. (author)
Fitting an explicit curve over some discrete data extracted from a rheometer is the usual way of writing a rheological model for generalized Newtonian fluids. These explicit models may not match totally with the extracted data and may ignore some features of the rheological behavior of the fluids. In this paper, a cubicspline curve fitting is...
journal article 2015
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Sun, L.G. (author)
Consensus exists that many loss-of-control (LOC) in flight accidents caused by severe aircraft damage or system failure could be prevented if flight performance could be recovered using the valid and remaining control authorities. However, the safe maneuverability of a post-failure aircraft will inevitably be reduced due to the malfunction. Non...
doctoral thesis 2014
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Govindarajan, N. (author), De Visser, C.C. (author), Krishnakumar, K. (author)
This paper presents a sparse collocation method for solving the time-dependent Hamilton–Jacobi–Bellman (HJB) equation associated with the continuous-time optimal control problem on a fixed, finite timehorizon with integral cost functional. Through casting the problem in a recursive framework using the value iteration procedure, the value...
journal article 2014
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Govindarjan, N. (author), De Visser, C.C. (author), Van Kampen, E. (author), Krishnakumar, K. (author), Barlow, J. (author), Stepanyan, V. (author)
This paper presents an optimal control framework to determine a collection of open-loop command signals that mathematically guarantees operation of an aircraft within certain prescribed state constraints. The framework is specifically applied to estimate margins for the reference command inputs of aircraft autopilot systems, so that safe...
journal article 2014
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Tol, H.J. (author), De Visser, C.C. (author), Van Kampen, E. (author), Chu, Q.P. (author)
High performance flight control systems based on the nonlinear dynamic inversion (NDI) principle require highly accurate models of aircraft aerodynamics. In general, the accuracy of the internal model determines to what degree the system nonlinearities can be canceled; the more accurate the model, the better the cancellation, and with that, the...
journal article 2014
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Ortiz-Gracia, L. (author), Oosterlee, C.W. (author)
We present a novel method for pricing European options based on the wavelet approximation method and the characteristic function. We focus on the discounted expected payoff pricing formula and compute it by means of wavelets. We approximate the density function associated to the underlying asset price process by a finite combination of jth order...
journal article 2013
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Malagu, M. (author), Benvenuti, E. (author), Simone, A. (author)
In this article we investigate the application of high order approximation techniques to one-dimensional boundary layer problems. In particular, we use second order differential equations and coupled second order differential equations as case studies. The accuracy and convergence rate of numerical solutions obtained with Lagrange, Hermite, B...
conference paper 2013
Searched for: subject:"splines"
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