Results 1  10
of
106
A MODIFIED NEWTON METHOD FOR SOLVING NONLINEAR ALGEBRAIC EQUATIONS
"... nary differential equations, fictitious time integration method (FTIM), modified Newton method (MNM). The Newton algorithm based on the “continuation ” method may be written as being governed by the equation ()jx t + 1 ( ) 0,ij i jB F x − = where Fi (xj) = 0, i, j = 1, …n are nonlinear algebraic e ..."
Abstract
 Add to MetaCart
nary differential equations, fictitious time integration method (FTIM), modified Newton method (MNM). The Newton algorithm based on the “continuation ” method may be written as being governed by the equation ()jx t + 1 ( ) 0,ij i jB F x − = where Fi (xj) = 0, i, j = 1, …n are nonlinear algebraic
NewtonGMRES preconditioning for discontinuous Galerkin discretizations of the NavierStokes equations
 SIAM J. Sci. Comput
, 2008
"... Abstract. We study preconditioners for the iterative solution of the linear systems arising in the implicit time integration of the compressible NavierStokes equations. The spatial discretization is carried out using a Discontinuous Galerkin method with fourth order polynomial interpolations on tri ..."
Abstract

Cited by 39 (11 self)
 Add to MetaCart
on triangular elements. The time integration is based on backward difference formulas resulting in a nonlinear system of equations which is solved at each timestep. This is accomplished using Newton’s method. The resulting linear systems are solved using a preconditioned GMRES iterative algorithm. We consider
CrasyDSE: A framework for solving DysonSchwinger equations
"... DysonSchwinger equations are important tools for nonperturbative analyses of quantum field theories. For example, they are very useful for investigations in quantum chromodynamics and related theories. However, sometimes progress is impeded by the complexity of the equations. Thus automatizing pa ..."
Abstract
 Add to MetaCart
DysonSchwinger equations are important tools for nonperturbative analyses of quantum field theories. For example, they are very useful for investigations in quantum chromodynamics and related theories. However, sometimes progress is impeded by the complexity of the equations. Thus automatizing
COSMOLOGICAL MODELS OF MODIFIED GRAVITY
, 2013
"... The recent discovery of dark energy has prompted an investigation of ways in which the accelerated expansion of the universe can be realized. In this dissertation, we present two separate projects related to dark energy. The first project analyzes a class of braneworld models in which multiple brane ..."
Abstract
 Add to MetaCart
The recent discovery of dark energy has prompted an investigation of ways in which the accelerated expansion of the universe can be realized. In this dissertation, we present two separate projects related to dark energy. The first project analyzes a class of braneworld models in which multiple branes float in a fivedimensional antide Sitter bulk, while the second investigates a class of dark energy models from an effective field theory perspective. Investigations of models including extra dimensions have led to modifications of gravity involving a number of interesting features. In particular, the RandallSundrum model is wellknown for achieving an amelioration of the hierarchy problem. However, the basic model relies on Minkowski branes and is subject to solar system constraints in the absence of a radion stabilization mechanism. We present a method by which a fourdimensional lowenergy description can be obtained for braneworld scenarios, allowing for a number of generalizations to the original models. This method is applied to orbifolded and uncompactified Nbrane models, deriving an effective fourdimensional action. The parameter space of this theory is constrained using observational evidence, and it is found that the generalizations do not weaken solar system constraints on the original model. Furthermore, we find that general
ALGEBRAIC ALGORITHMS1
, 2012
"... This is a preliminary version of a Chapter on Algebraic Algorithms in the up ..."
Abstract
 Add to MetaCart
This is a preliminary version of a Chapter on Algebraic Algorithms in the up
NOTATION Cijkl incremental stress–strain tensor H Hamiltonian + Lagrangian
"... Hamilton equation based symplectic nite element ..."
TreeBole Volume Estimation on Standing Pine Trees Using Cascade Correlation Artificial Neural Network Models
 Agricultural Engineering International: the CIGR Ejournal. Manuscript IT 06
, 2006
"... Total tree volume estimation is an integral part of forest growth and yield forecasting. Complex formulae are used to estimate bole volume by section, based on relationships proposed by Huber, Smalian and Newton. All these relationships require many measurements of bole diameters at certain heights ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
the training of the ANNs, which is a feedforward and supervised learning algorithm. Adaptive gradient and Kalman’s learning rules were used to modify the artificial neural networks weights. Kalman’s learning rule was found superior for the estimation of diameter values at certain heights of the treebole. The
An Analysis and Improvement of the Predictive Control Integrating Component
"... integrator windup and, therefore, it is recommended that separate weighting be used with a modified integrating component predictive controller. The separate weighting also improves the designers intuition with respect to tuning the controller, significantly reducing the time required to generate ..."
Abstract
 Add to MetaCart
integrator windup and, therefore, it is recommended that separate weighting be used with a modified integrating component predictive controller. The separate weighting also improves the designers intuition with respect to tuning the controller, significantly reducing the time required to generate
doi:10.1155/2011/849894 Research Article A Contrast Source Inversion Algorithm Formulated Using the LogPhase Formulation
"... Copyright © 2011 Tonny Rubæk et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The contrast source inversion (CSI) algorithm was ..."
Abstract
 Add to MetaCart
was introduced for microwave imaging in 1997 and has since proven to be one of the most successful algorithms for nonlinear microwave tomography. In the CSI algorithm, the nonlinear integral equation, which must be solved to extract the constitutive electromagnetic parameters of the object under test from
Results 1  10
of
106