Piecewise linear transformation in diffusive flux discretization

Piecewise Linear AD via Source Transformation

y m i = vl i for i = 0, . . . ,m 1 Extraction . Here, x 2 X ✓ R denotes a vector of input variables, y = y(x) 2 R the corresponding output variables, and ' some smooth intermediate assignments from a library ⌘ +, , ⇤, /, p ·, exp, sin, cos, . . . . However, the smoothness assumption is violated in most real applications. For example, the evaluation routines of many physical applications contain...

Preservation of piecewise-linear Lyapunov function under Padé discretization

In this paper we show that certain piecewiselinear Lyapunov functions are preserved for LTI systems under Padé approximations. In particular, we present a simple method to find a piecewise-linear Lyapunov function that is so preserved under the Padé discretization of any order and sampling time. This result may be of interest in the discretisation of switched linear systems for both simulation ...

Piecewise-linear transformation-based HMM adaptation for noisy speech

This paper proposes a new method using piecewise-linear transformation for adapting phone HMMs to noisy speech. Various noises are clustered according to their acoustical property and signal-to-noise ratios (SNRs), and noisy speech HMM corresponding to each clustered noise is made. Based on the likelihood maximization criterion, the HMM which best matches an input speech is selected and further...

Piecewise Constant Controlled Linear Fuzzy Systems

A robust and efficient finite volume scheme for the discretization of diffusive flux on extremely skewed meshes in complex geometries

In this paper an improved finite volume scheme to discretize diffusive flux on a non-orthogonal mesh is proposed. This approach, based on an iterative technique initially suggested by Khosla and known as deferred correction, has been intensively utilized by Muzaferija and later Fergizer and Peric to deal with the non-orthogonality of the control volumes. Using a more suitable decomposition of t...