A set-theoretic approach to parameter estimation based on the bounded-error concept is an appropriate choice when incomplete knowledge of observation error statistics and unavoidable structural model error invalidate the presuppositions of stochastic methods. Within this class the estimation of non-linear-in-theparameters models is examined. This situation frequently occurs in modelling natural...

in this paper we propose a relatively new semi-analytical technique to approximate the solution ofnonlinear multi-order fractional differential equations (fdes). we present some results concerning to the uniqueness of solution of nonlinear multi-order fdes and discuss the existence of solution for nonlinear multi-order fdes in reproducing kernel hilbert space (rkhs). we further give an error an...

Although many mathematicians have searched on the fractional calculus since many years ago, but its application in engineering, especially in modeling and control, does not have many antecedents. Since there are much freedom in choosing the order of differentiator and integrator in fractional calculus, it is possible to model the physical systems accurately. This paper deals with time-domain id...

Responding to the severe threat to the space activities from increasing LEO space debris, orbital object surveillance and cataloguing based on ground-based radar has aroused much attention from the world. However, the success of the space debris surveillance system strongly depends on the performance of signal detection and parameter estimation of the radar system. This paper presents a novel m...

Kinetic modeling of metabolic pathways has important applications in metabolic engineering, but significant challenges still remain. The difficulties faced vary from finding best-fit parameters in a highly multidimensional search space to incomplete parameter identifiability. To meet some of these challenges, an ensemble modeling method is developed for characterizing a subset of kinetic parame...

For illdefined systems (like environmental and economical systems) with sparse md uncertain data, Homberger and Spear have proposed, as a variation on Monte Carlo simulation analysis, the so-called regional&d sensitivity analysis (RSA) to determine dominant model parameters. In this paper a minor modification to the RSA is proposed to mitigate the effect of arbitrarily chosen initial parameter ...

The lattice Boltzmann equations for the linear diffusion modeling in cases of D2Q5, D2Q7 and D2Q9 lattices are considered. Families of the numerical schemes with the dependence on scalar parameter are introduced. The stability analysis of schemes is performed in parameter space. The stability is studied numerically by von Neumann method. Optimal parameter values for the presented families are d...

We develop a nonlinear stability method, the energy-enstrophy EZ method, that is specialized to two-dimensional hydrodynamics and basic state flows consisting of a single Helmholtz eigenmode. The method is applied to a -plane flow driven by a sinusoidal body force and retarded by drag with damping time scale −1. The standard energy method H. Fukuta and Y. Murakami, J. Phys. Soc. Jpn. 64, 3725 1...

The finite difference discretization of the Poisson equation with Dirichlet boundary conditions leads to a large, sparse system of linear equations for the solution values at the interior mesh points. This problem is a popular and useful model problem for performance comparisons of iterative methods for the solution of linear systems. To use the successive overrelaxation (SOR) method in these c...

We study space-time symmetries in scalar quantum field theory on an arbitrary static space-time. We first consider Euclidean quantum field theory, and show that the isometry group is generated by one-parameter subgroups which have either selfadjoint or unitary quantizations. We then show that the self-adjoint semigroups thus constructed can be analytically continued to one-parameter unitary gro...