Publications related to A comparative study of the harmonic balance method and the orthogonal collocation method on stiff nonlinear systems

Markov cubature rules for polynomial processes

Damir Filipovic, Martin Larsson, Sergio Andres Pulido Nino

We study discretizations of polynomial processes using finite state Markov processes satisfying suitable moment matching conditions. The states of these Markov processes together with their transition probabilities can be interpreted as Markov cubature rul ...

ELSEVIER2020

Shape constrained splines as transparent black-box models for bioprocess modeling

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan

Empirical model identification for biological systems is a challenging task due to the combined effects of complex interactions, nonlinear effects, and lack of specific measurements. In this context, several researchers have provided tools for experimental ...

Elsevier2017

Distinct distances on regular varieties over finite fields

Van Thang Pham

In this paper we study some generalized versions of a recent result due to Covert, Koh, and Pi (2015). More precisely, we prove that if a subset in a regular variety satisfies vertical bar epsilon vertical bar >> q(d-1/2 + 1/k-1), then Delta(k,F)(epsilon) ...

Elsevier2017

Polynomiality of Hurwitz numbers, Bouchard-Marino conjecture, and a new proof of the ELSV formula

Nicolas Gerson Orantin

In this paper we give a new proof of the ELSV formula. First, we refine an argument of Okounkov and Pandharipande in order to prove (quasi-)polynomiality of Hurwitz numbers without using the ELSV formula (the only way to do that before used the ELSV formul ...

Academic Press Inc Elsevier Science2015

A stochastic collocation method for the second order wave equation with a discontinuous random speed

Fabio Nobile

In this paper we propose and analyze a stochastic collocation method for solving the second order wave equation with a random wave speed and subjected to deterministic boundary and initial conditions. The speed is piecewise smooth in the physical space and ...

Springer2013

Chebyshev Polynomial Approximation for Distributed Signal Processing

Pascal Frossard, Pierre Vandergheynst, David Shuman

Unions of graph Fourier multipliers are an important class of linear operators for processing signals defined on graphs. We present a novel method to efficiently distribute the application of these operators to the high-dimensional signals collected by sen ...

2011

Comparative Analysis of Various Single-tone Frequency Estimation Techniques in High-order Instantaneous Moments Based Phase Estimation Method

Pramod Rastogi, Sai Siva Gorthi, Rajshekhar Gannavarpu

For phase estimation in digital holographic interferometry, a high-order instantaneous moments (HIM) based method was recently developed which relies on piecewise polynomial approximation of phase and subsequent evaluation of the polynomial coefficients us ...

AIP Conf. Proc.2010

Phase estimation in digital holographic interferometry using cubic phase function based method

Pramod Rastogi, Sai Siva Gorthi

The paper introduces a cubic-phase-function based method to estimate interference phase in digital holographic interferometry. The proposed method relies on piecewise polynomial approximation of phase by dividing an arbitrary row/column of the complex reco ...

Taylor & Francis2010

Space-time adaptive algorithms for parabolic problems : a posteriori error estimates and application to microfluidics

Virabouth Prachittham

We developed a space and time adaptive method to simulate electroosmosis and mass transport of a sample concentration within a network of microchannels. The space adaptive criteria is based on an error estimator derived using anisotropic interpolation esti ...

EPFL2009

Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang-Fix

Martin Vetterli, Pier Luigi Dragotti, Thierry Blu

Consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, nonuniform splines or piecewise polynomials, and call the number of degrees of freedom per unit ...

Institute of Electrical and Electronics Engineers2007

Exact Local Reconstruction Algorithms for Signals with Finite Rate of Innovation

Martin Vetterli, Pier Luigi Dragotti, Thierry Blu

Consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, piecewise polynomial or piecewise sinusoidal signals, and call the number of degrees of freedom ...

2006

Mathematical and numerical analysis of a three-dimensional fluid flow model in glaciology

Adrian Reist, Jacques Rappaz

The main goal of this article is to analyze a three-dimensional model for stress and velocity fields in grounded glaciers and ice sheets including the role of normal deviatoric stress gradients. This model leads to a nonlinear system of stationary partial ...

2005

Rate-Distortion Optimized Tree-Structured Compression Algorithms for Piecewise Polynomial Images

Martin Vetterli, Minh Do, Pier Luigi Dragotti, Rahul Shukla

This paper presents novel coding algorithms based on tree-structured segmentation, which achieve the correct asymp- totic rate-distortion (R-D) behavior for a simple class of signals, known as piecewise polynomials, by using an R-D based prune and join sch ...

2005

Sampling and Reconstruction of Signals with Finite Rate of Innovation in the Presence of Noise

Martin Vetterli, Irena Maravic

Recently, it was shown that it is possible to develop exact sampling schemes for a large class of parametric nonban- dlimited signals, namely certain signals of finite rate of innovation. A common feature of such signals is that they have a finite number o ...

2005

Generalized Smoothing Splines and the Optimal Discretization of the Wiener Filter

Michaël Unser, Thierry Blu

We introduce an extended class of cardinal LL-splines, where L is a pseudo-differential operator satisfying some admissibility conditions. We show that the LL-spline signal interpolation problem is well posed and that its solution is the unique minimizer ...

IEEE2005