We consider variational time integration using continuous Galerkin-Petrov methods applied to evolutionary systems of changing type. prove optimal-order convergence the error in a cGP-like norm and conclude paper with some numerical examples conclusions.

A robust and efficient time integrator for dynamical tensor approximation in the tensor train or matrix product state format is presented. The method is based on splitting the projector onto the tangent space of the tensor manifold. The algorithm can be used for updating time-dependent tensors in the given data-sparse tensor train / matrix product state format and for computing an approximate s...

Flowering time is under the control of multiple environmental cues such as photoperiod and exposure to cold temperatures (vernalization). A few regulators named integrators of flowering time signals (LEAFY, SOC1 /AGL20 and FT ) integrate inputs from the different flowering cascades and convey the resulting outcome to floral meristem identity genes at the shoot apex. Here we review the current k...

Recent observations indicate that the universe’s expansion has been accelerating of late. But recent theoretical work has highlighted the difficulty of squaring acceleration with the underlying assumptions of string theory, disfavoring most models of quintessence. because they predict eternal acceleration. We show that one of the simplest and most motivated quintessence models described by an e...

s of Talks In alphabetical order SECOND ORDER CONVERGENCE OF A LIE GROUP TIME INTEGRATION METHOD FOR CONSTRAINED MECHANICAL SYSTEMS Martin Arnold MARTIN LUTHER UNIVERSITY HALLE-WITTENBERG Classical ODE and DAE time integration methods have been applied successfully for more than two decades to constrained systems in technical mechanics. For large scale systems, Newmark type integrators are cons...

in this paper, we introduce hybrid of block-pulse functions and bernstein polynomials and derive operational matrices of integration, dual, differentiation, product and delay of these hybrid functions by a general procedure that can be used for other polynomials or orthogonal functions. then, we utilize them to solvedelay differential equations and time-delay system. the method is based upon ex...

The DNA microarray is an important technique that allows researchers to analyze many gene expression data in parallel. Although the data can be more significant if they come out of separate experiments, one of the most challenging phases in the microarray context is the integration of separate expression level datasets that have gathered through different techniques. In this paper, we prese...