Efficient simulation of the helical coiled once-through steam generator (H-OTSG) is crucial in design and safety analysis high-temperature gas-cooled reactor (HTGR). The physical property phase transformation water brings great challenges during simulation. properties calculation routine occupies a large part computational time solution process. Thus, thermohydraulic library developed based on ...

We derive a simple accuracy matching strategy for inexact Gauss Newton methods and apply it to the numerical solution of boundary value problems of ordinary diierential equations by collocation. The matching strategy is based on an aane contravariant convergence theorem, i.e., the characteristic constants are invariant under aane transformations of the domain. The inexact Gauss Newton method is...

This article provides us with a unifying classification of the conformal infinitesimal symmetries of non-relativistic Newton-Cartan spacetime. The Lie algebras of non-relativistic conformal transformations are introduced via the Galilei structure. They form a family of infinite-dimensional Lie algebras labeled by a rational “dynamical exponent”, z. The Schrödinger-Virasoro algebra of Henkel et ...

We consider a problem of simultaneous reduction of a sequence of matrices by means of orthogonal transformations. We show that such reduction can be performed by a series of the deflation steps. At each deflation step a simultaneous eigenvalue problem, which is a direct generalization of the generalized eigenvalue problem, is solved. A fast variant of Gauss-Newton algorithm for its solution was...

The Cayley-Hamilton-Newton identities which generalize both the characteristic identity and the Newton relations have been recently obtained for the algebras of the RTT-type. We extend this result to a wider class of algebras M(R̂, F̂ ) defined by a pair of compatible solutions of the Yang-Baxter equation. This class includes the RTTalgebras as well as the Reflection equation algebras. On leave o...

It is widely accepted that Einstein’s general theory of relativity is an effective four-dimensional theory at lower energies and that it needs modifications at high energies. In the cosmological context, this break down of the theory results in a modification of the Friedmann equation with important consequences in the dynamical evolution at early times (see for example, [1, 2]). There has been...

The theory of scale relativity extends Einstein's principle of relativity to scale transformations of resolutions. It is based on the giving up of the axiom of differentiability of the space-time continuum. Three consequences arise from this withdrawal: (i) The geometry of space-time must be fractal, i.e., explicitly resolutiondependent. (ii) The geodesics of the non-differentiable space-time a...

The minimization problem of an L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints is formulated for a class of two-dimensional (2-D) state-space digital filters. First, the problem is converted into an unconstrained optimization problem by using linear-algebraic techniques. Next, the unconstrained optimization problem is solved by applying an efficient quasi-Newton algo...