the index of matrix a in cn.n is equivalent to the dimension of largest jor-dan block corresponding to the zero eigenvalue of a. in this paper, indicialequations and normal equations for solving inconsistent singular linear systemof equations are investigated.

We examine connections between A-hypergeometric di erential equations and the theory of integer programming. In the rst part, we develop a \hypergeometric sensitivity analysis" for small variations of constraint constants with creation operators and b-functions. In the second part, we study the indicial polynomial (b-function) along the hyperplane x i = 0 via a correspondence between the optima...

An integrated computational  uid dynamics (CFD) and computational structural dynamics (CSD) method is developed for the simulation and prediction of  utter. The CFD solver is based on an unsteady, parallel, multiblock, multigrid Ž nite volume algorithm for the Euler/Navier–Stokes equations. The CSD solver is based on the time integration of modal dynamic equations extracted from full Ž nite e...

By using a combined analytical–computational methodology, a unified modelling of aerodynamic indicial functions covering the incompressible, subsonic compressible, transonic, and supersonic flight speed regimes is presented. The procedure is carried out in conjunction with a computational fluid dynamic analysis. For a plunging–pitching airfoil, selected unsteady aerodynamic load expressions hav...

The index of matrix A in Cn.n is equivalent to the dimension of largest Jor-dan block corresponding to the zero eigenvalue of A. In this paper, indicialequations and normal equations for solving inconsistent singular linear systemof equations are investigated.

In a previous recent paper we discussed the limitations of the Fourier-based model in the prediction of visible moiré effects. Here, we extend the discussion to other mathematical models that are also being used in the moiré theory: the classical indicial equations method for modelling the moiré fringes between periodic or curvilinear gratings, and two methods that are used to model different f...

The singularity structure of a second-order ordinary differential equation with polynomial coefficients often yields the type solution. It is shown that $\theta$-operator method can be used as symbolic computational approach to obtain indicial and recurrence relation. Consequently, leads transformations yield solution in terms special function, if suitable. Hypergeometric Heun-type equations ar...

This paper proposes a method to determine the flutter derivatives of 2-dimensional streamlined cylinders by means of a modified indicial approach adapted to a Navier-Stokes solver using an Arbitrary Lagrangian Eulerian formulation. The method relies on heave or pitch motion imposed to the section according to smoothed ramp time histories and on the computational evaluation of the transient forc...

We will introduce a modified system of A-hypergeometric system (GKZ system) by applying a change of variables for Gröbner deformations and study its Gröbner basis and the indicial polynomial along the “exceptional hypersurface”.