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MCS
2006
Springer
13 years 10 months ago
Variable projections neural network training
8 The training of some types of neural networks leads to separable non-linear least squares problems. These problems may be9 ill-conditioned and require special techniques. A robus...
V. Pereyra, G. Scherer, F. Wong
MCS
2007
Springer
13 years 10 months ago
The pricing of options for securities markets with delayed response
The analogue of Black–Scholes formula for vanilla call option price in conditions of (B, S)-securities market with delayed response is derived. A special case of continuous-time...
Yuriy Kazmerchuk, Anatoliy Swishchuk, Jianhong Wu
MCS
2006
Springer
13 years 10 months ago
Lattice Boltzmann simulations of drop dynamics
We present a free energy lattice Boltzmann approach to modelling the dynamics of liquid drops on chemically patterned substrates. We start by describing a choice of free energy th...
H. Kusumaatmaja, A. Dupuis, Julia M. Yeomans
MCS
2006
Springer
13 years 10 months ago
A fractional step lattice Boltzmann method for simulating high Reynolds number flows
A fractional step lattice Boltzmann scheme is presented to greatly improve the stability of the lattice Boltzmann method (LBM) in modelling incompressible flows at high Reynolds n...
C. Shu, X. D. Niu, Y. T. Chew, Q. D. Cai
MCS
2007
Springer
13 years 10 months ago
Computing the principal eigenvalue of the Laplace operator by a stochastic method
We describe a Monte Carlo method for the numerical computation of the principal eigenvalue of the Laplace operator in a bounded domain with Dirichlet conditions. It is based on th...
Antoine Lejay, Sylvain Maire