In this paper, we introduce two split least-squares Galerkin finite element procedures for pseudohyperbolic equations arising in the modelling of nerve conduction process. By selecting the ...least-squares functional properly, the procedures can be split into two sub-procedures, one of which is for the primitive unknown variable and the other is for the flux. The convergence analysis shows that both the two methods yield the approximate solutions with optimal accuracy in
L
2
(
Ω
)
norm for
u
and
u
t
and
(
L
2
(
Ω
)
)
2
norm for the flux
σ
. Moreover, the two methods get approximate solutions with first-order and second-order accuracy in time increment, respectively. A numerical example is given to show the efficiency of the introduced schemes.
In this paper, we suggest and analyze a new iterative method for finding approximate solution of the nonlinear equation
f(
x)
=
0. It is shown that proposed method has fourth-order convergence. ...Several numerical examples are given to illustrate that the method developed in this paper give better results than the other methods including Newton method.
The problem of robust training sequence design for the purpose of multiple-input multiple-output (MIMO) channel estimation is considered. In particular, we aim to minimize the worst-case mean squared ...error of the channel estimates which is formulated as a minimax optimization problem. This problem is addressed efficiently using an extended barrier method under the general assumption of an arbitrary compact convex uncertainty set. Moreover, assuming a Kronecker MIMO channel and a unitarily invariant uncertainty set, the robust design problem is diagonalized which significantly lowers the dimensionality of the optimization problem. We provide numerical examples to illustrate the performance of the proposed design.
In this paper, the two-dimensional inverse heat conduction problem governed by the equation with the non-homogeneous term and unknown Neumann boundary condition will be considered, this problem can ...be divided into two separate problems, which are direct and inverse parabolic problems, finite difference method and finite volume method combined with weight coefficient method are used to solve these two problems, based on the overspecified data, and numerical example will also be presented.
Estimation of variance components is a method often used in population genetics and applied in animal breeding. Even experienced population geneticists nowadays feel lost if confronted with the huge ...set of different methods of variance component estimation. Especially because there exists no uniformly best method, a decision which method should be used is often difficult to take. This paper gives a complete overview of methods existing in the simplest case of a one-way lay-out and demonstrates some of them by a numerical example for which the true situation is known. Of course, the one-way lay-out is of limited practical interest but can best be used to explain animal scientists the basic principles of the methods. These basic principles are principally also valid for higher classifications. Advantages and disadvantages of the methods are discussed. The symbols used are the standard biometric symbols as given in Rasch et al. (1994). We can say that all the methods offered by SPSS can be recommended.
A heat-conduction problem is formulated for laminated plates and shells with a heat-conducting layer and debonding between laminas. The approach consists in analyzing how the layer thickness changes ...in the process of debonding of laminas and deformation of plates and shells. The three-dimensional thermoelastic and heat-conduction equations are expanded into polynomial Legendre series in thickness. The first-order, Timoshenko's, and Kirchhoff-Love equations are examined. A numerical example of laminated shells with a heat-conducting layer is considered
This paper considers real-time packet forwarding over wireless multi-hop networks with lossy and bursty links. Our objective is to maximize the probability that individual packets reach their ...destination before a hard deadline. The loss processes on links are modeled by finite-state Markov chains. While the parameters of the Markov chains are assumed to be known, the instantaneous channel states are not accessible but have to be estimated from observations of successes and failures of actual packet transmissions. We formulate the forwarding problem as a partially observable Markov decision process and derive the optimal forwarding policy. A novel technique, based on maximum-volume inscribed ellipsoids, for computing approximate solutions with reduced implementation complexity is proposed. We further discuss structural properties of the value function and the optimal actions. Finally, numerical examples illustrate the power of the developed techniques.
We study a relaxation scheme of the Jin and Xin type for conservation laws with a flux function that depends discontinuously on the spatial location through a coefficient k(x). If k\in BV, we show ...that the relaxation scheme produces a sequence of approximate solutions that converge to a weak solution. The Murat--Tartar compensated compactness method is used to establish convergence. We present numerical experiments with the relaxation scheme, and comparisons are made with a front tracking scheme based on an exact 2\times 2 Riemann solver.
Record values can be viewed as order statistics from a sample whose size is determined by the values and the order of occurrence of observations. Bayes and empirical Bayes estimators for the unknown ...parameter of the generalized exponential distribution are derived based on record statistics. These estimates are obtained based on squared error and LINEX loss functions. Prediction bounds for future lower record values are obtained by using Bayes and empirical Bayes techniques. Numerical example is given to illustrate the results.
In the past decade, parallel manipulators began gaining more attention since they can outperform their serial counterparts at several areas. The use of common parallel delta robot mechanisms is ...wide-spread within the industry, especially for fast pick and place applications. There is a new type of parallel mechanism on the rise, called the Generalized Triangle Parallel Robot (GTPR), where the parameters of the robot may differ from arm to arm. Due to the asymmetric structure, the kinematic description of such a mechanism is less trivial. For this reason, we wish to show that many mechanical problems become more straightforward by using screw theory througout the formalism. Screw theory uses the Plücker coordinate representation of mechanical structures. This representation leads to an elegant and tractable form of the kinematics equations. This paper presents a compact tutorial about screw theory and a joint velocity calculation example, with the complete derivation of screws and numerical results.
PDF
