Results 1 to 10 of about 68,596 (125)
Crosstalk statistics via collocation method [PDF]
2009 IEEE International Symposium on Electromagnetic Compatibility, 2009 A probabilistic model for the evaluation of transmission lines crosstalk is proposed. The geometrical parameters are assumed to be unknown and the exact solution is decomposed into two functions, one depending solely on the random parameters and the other on the frequency.
Diouf F., CANAVERO, Flavio
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ISOGEOMETRIC COLLOCATION METHODS [PDF]
Mathematical Models and Methods in Applied Sciences, 2010 We initiate the study of collocation methods for NURBS-based isogeometric analysis. The idea is to connect the superior accuracy and smoothness of NURBS basis functions with the low computational cost of collocation. We develop a one-dimensional theoretical analysis, and perform numerical tests in one, two and three dimensions.
F Auricchio +4 more
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Reduced Collocation Methods: Reduced Basis Methods in the Collocation Framework [PDF]
Journal of Scientific Computing, 2012 In this paper, we present the first reduced basis method well-suited for the collocation framework. Two fundamentally different algorithms are presented: the so-called Least Squares Reduced Collocation Method (LSRCM) and Empirical Reduced Collocation Method (ERCM). This work provides a reduced basis strategy to practitioners who {prefer} a collocation,
Sigal Gottlieb, Yanlai Chen
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Spectral collocation methods [PDF]
Applied Numerical Mathematics, 1989 This review covers the theory and application of spectral collocation methods. Section 1 describes the fundamentals, and summarizes results pertaining to spectral approximations of functions. Some stability and convergence results are presented for simple elliptic, parabolic, and hyperbolic equations.
Anthony T. Patera +2 more
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A fractional spline collocation method for the fractional order logistic equation [PDF]
, 2017 We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivative, i.e. the fractional order logistic equation.
Pezza, L., Pitolli, F.
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A multiscale collocation method for fractional differential problems [PDF]
, 2018 We introduce a multiscale collocation method to numerically solve differential problems involving both ordinary and fractional derivatives of high order.
Pezza, L., Pitolli, F.
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A point collocation approach to modelling large dissipative silencers [PDF]
, 2005 A numerical matching technique known as point collocation is used to model mathematically large dissipative splitter silencers of a type commonly found in HVAC ducts. Transmission loss predictions obtained using point collocation are compared with exact
Allard +18 more
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Stability of Chebyshev collocation methods
Computers & Mathematics with Applications, 2004 AbstractIn [1], a class of global collocation methods for the numerical solution of systems of nonlinear first-order ordinary differential equations was derived.The favorable comparison with other existing methods stimulated us to study them in depth.
COSTABILE F, NAPOLI, Anna
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Collocation Methods for Second Order Systems
Robotics: Science and Systems XVIII, 2022 Trabajo presentado en el Robotics: Science and Systems, celebrado en Nueva York (Estados Unidos), del 27 de junio al 1 de julio de ...
Moreno Martín, Siro +2 more
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On the asymptotic convergence of collocation methods [PDF]
Mathematics of Computation, 1983 We prove quasioptimal and optimal order estimates in various Sobolev norms for the approximation of linear strongly elliptic pseudodifferential equations in one independent variable by the method of nodal collocation by odd degree polynomial splines.
Douglas N. Arnold, Wolfgang L. Wendland
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