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Showing 1 to 20 of 214 for “"Collocation"”.
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Supporting Collocation Learning
Collocations are of great importance for second language learners. Knowledge of them plays a key role in producing language accurately and fluently. But such knowledge is difficult to acquire, simply because there is so much of it. Collocation resources for learners are limited. Printed …
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Ultracentrifuge simulation using cubic collocation
Photocopy of typescript.
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Ultracentrifuge simulation using cubic collocation
Photocopy of typescript.
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Spectral collocation method for compact integral operators
<p>We propose and analyze a spectral collocation method for integral</p> <p>equations with compact kernels, e.g. piecewise smooth kernels and</p> <p>weakly singular kernels of the form $\frac{1}{|t-s|^\mu}, \;</p> <p>0<\mu<1. $ We prove that 1) for integral equations, the convergence</p> <p>rate …
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Collocation Based Meshless Methods for Microelectromechanical Systems
After the theoretical study of the meshless methods, the FCM and boundary cloud method (BCM) were applied to solve the fluid flow in the MEMS devices. Combining the fluid flow module with the solver for the Poisson and Nernst-Planck (PNP) equations, a tool for the simulation of ion transport in the …
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Uncertainty analysis of power systems using collocation
… a minimal number of simulations. To this end, collocation is employed to compute statistical moments, from which sensitivity can be inferred, and to construct surrogate models with which interpolation can be used to propagate PDF's. These techniques are applied to three large-scale electric …
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Domain Decomposition Preconditioners for Hermite Collocation Problems
… of boundary value problems. Although collocation is a very general and effective discretization technique for many PDE problems, there has been relatively little work on preconditioners for collocation problems. This thesis proposes two preconditioning methods for solving linear …
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Constrained Optimization on SO(3), via Pseudospectral Collocation
<p>Pseudospectral collocation is a widely used direct transcription method that discretizes continuous systems with spectral accuracy and high fidelity while requiring relatively few collocation points. The special orthogonal group, SO(3), is both a Lie group and a manifold, and thus demands …
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Optimization of chemical plant simulation using double collocation
… equations and optimization. Double orthogonal collocation on finite elements is applied to convert the model into an NLP problem that is solved either by the VF 13AD package based on successive quadratic programming, or by the GRG2 package, based on the generalized reduced gradient method. This …
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Predictive Simulation of Musculoskeletal Models Using Direct Collocation
… to develop bespoke implementations of direct collocation, or laboriously manually link multiple software packages. In order to address these limitations, this research aims to develop and critically evaluate a software suite that enables both expert and non-expert users to construct and solve …
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Improved collocation methods with application to direct trajectory optimization
Improved collocation methods for the solution of a set of ordinary differential equations are developed and used to solve minimum-time, Earth-moon orbit transfers. These collocation methods are based on a family of modified Gaussian quadrature rules. This family of rules includes the basic …
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A partial state collocation method for covariance optimal control
… for instrument calibration. The full state collocation method uses Legendre Gauss Radau collocation to discretize the deterministic states and controls as well as the unique elements of the covariance matrix. The problem is then transcribed to a nonlinear progamming problem (NLP) and is …
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Wavelet Collocation Method for Hammerstein Integral Equations of High Dimension
… In the first part, we extend fast wavelets collocation method and multilevel augmentation method on three dimensional Hammerstein equation with both smooth kernel and weakly singular kernel. In this part, self similar partition on d-dimensional (<em>d</em> ≥ 3) unit cube will be introduced …
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ΥΨΗΛΟΥ ΒΑΘΜΟΥ ΜΕΘΟΔΟΙ ΠΑΡΕΜΒΟΛΗΣ (COLLOCATION) ΜΕ SPLINES ΓΙΑ ΕΛΛΕΙΠΤΙΚΕΣ ΕΞΙΣΩΣΕΙΣ
ΠΑΡΟΥΣΙΑΖΟΥΜΕ ΜΙΑ ΝΕΑ ΟΜΑΔΑ ΜΕΘΟΔΩΝ ΠΑΡΕΜΒΟΛΗΣ ΜΕ ΧΡΗΣΗ ΚΥΒΙΚΩΝ SPLINE ΣΥΝΑΡΤΗΣΕΩΝ ΓΙΑ ΤΗΝ ΛΥΣΗ ΕΛΛΕΙΠΤΙΚΩΝ ΔΙΑΦΟΡΙΚΩΝ ΕΞΙΣΩΣΕΩΝ ΜΕ ΜΕΡΙΚΕΣ ΠΑΡΑΓΩΓΟΥΣ. ΤΑ ΥΠΟΛΟΓΙΣΘΕΝΤΑ ΓΙΑ ΤΙΣ ΜΕΘΟΔΟΥΣ ΑΥΤΕΣ ΦΡΑΓΜΑΤΑ ΤΟΥ ΣΦΑΛΜΑΤΟΣ ΕΙΝΑΙ ΤΑ ΒΕΛΤΙΣΤΑ ΔΥΝΑΤΑ. ΟΙ ΜΕΘΟΔΟΙ ΜΟΡΦΟΠΟΙΟΥΝΤΑΙ ΚΑΙ ΜΙΑ ΑΝΑΛΥΣΗ ΣΥΓΚΛΙΣΗΣ …
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Collocation With Nonlinear Programming for Two-Sided Flight Path Optimization
… a saddle-point trajectory. The method of direct collocation with nonlinear programming is extended to find the solution of a zerosum two-person differential game by incorporating the analytical optimality condition for one player into the system equations. The new method is named semi-direct …
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Numerical Solution of Stiff Ordinary Differential Equations Using Collocation Methods
Made available in DSpace on 2014-12-13T18:01:52Z (GMT). No. of bitstreams: 1 7709075.pdf: 2874498 bytes, checksum: 35500be9b4b4d0fe80f9e6e16eb670ad (MD5) Previous issue date: 1976
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The psychological validity of collocation : evidence from event-related brain potentials
… the psychological validity of corpus-derived collocations (e.g. Conklin & Schmitt 2008; McDonald & Shillcock 2003a; 2003b; Underwood et al. 2004; Huang et al. 2012). The results of these studies reveal that sequences of words which form collocations are read more quickly and receive fewer …
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Efficient Stochastic Collocation Based Variability Analysis Using Model-Order Reduction Techniques
… of variability analysis by using the Stochastic Collocation technique. The Sparse Grid algorithm is applied to limit the growth of the computational cost with an increase in the number of stochastic parameters. In addition, the proposed method is based on the Model Order Reduction algorithms …
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