Publications related to Periodic function

A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems

We devise a Hybrid High-Order (HHO) method for highly oscillatory elliptic problems that is capable of handling general meshes. The method hinges on discrete unknowns that are polynomials attached to the faces and cells of a coarse mesh; those attached to ...

WALTER DE GRUYTER GMBH2019

MiMiC: A Novel Framework for Multiscale Modeling in Computational Chemistry

Ursula Röthlisberger, Simone Meloni, Martin Peter Bircher, Viacheslav Bolnykh, Paolo Carloni

We present a flexible and efficient framework for multiscale modeling in computational chemistry (MiMiC). It is based on a multiple-program multiple-data (MPMD) model with loosely coupled programs. Fast data exchange between programs is achieved through th ...

AMER CHEMICAL SOC2019

Periodic Motion of Sedimenting Flexible Knots

Giovanni Dietler, Krishnan Thyagarajan, Andrzej Stasiak

We study the dynamics of knotted deformable closed chains sedimenting in a viscous fluid. We show experimentally that trefoil and other torus knots often attain a remarkably regular horizontal toroidal structure while sedimenting, with a number of intertwi ...

APS2018

Libraries of Extremely Localized Molecular Orbitals. 3. Construction and Preliminary Assessment of the New Databanks

Benjamin André René Meyer

The fast and reliable determination of wave functions and electron densities of macromolecules has been one of the goals of theoretical chemistry for a long time, and in this context, several linear scaling techniques have been successfully devised over th ...

AMER CHEMICAL SOC2018

An on/off Berry phase switch in circular graphene resonators

Donat Fabian Natterer, Yue Zhao

The phase of a quantum state may not return to its original value after the system's parameters cycle around a closed path; instead, the wave function may acquire a measurable phase difference called the Berry phase. Berry phases typically have been access ...

American Association for the Advancement of Science2017

An Inner-Product Calculus for Periodic Functions and Curves

Michaël Unser, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

Our motivation is the design of efficient algorithms to process closed curves represented by basis functions or wavelets. To that end, we introduce an inner-product calculus to evaluate correlations and

L _{ 2 }

distances between such curves. In partic ...

2016

Bloch theorem with revised boundary conditions applied to glide and screw symmetric, quasi-one-dimensional structures

Florian Paul Robert Maurin

Bloch theorem is useful for analyzing wave propagation in periodic systems. It has been widely used to determine the energy bands of various translationally-periodic crystals and with the advent of nanoscale structures like nanotubes, it has been extended ...

Elsevier2016

Adaptation and coaching of periodic motion primitives through physical and visual interaction

Tadej Petric

In this paper we propose and evaluate a control system to (1) learn and (2) adapt robot motion for continuous non-rigid contact with the environment. We present the approach in the context of wiping surfaces with robots. Our approach is based on learning b ...

2016

Selection of solitary waves in vertically falling liquid films

Nicolas Igor Jacques Kofman

Two-dimensional solitary waves at the surface of a film flow down a vertical plane are considered. When the system is subjected to inlet white noise, solitary waves are formed after an inception region and interact with each other. Using open-domain simula ...

Elsevier2016

Simple predictive electron transport models applied to sawtoothing plasmas

Olivier Sauter, Timothy Goodman, Antoine Pierre Emmanuel Alexis Merle, Doohyun Kim

In this work, we introduce two simple transport models to evaluate the time evolution of electron temperature and density profiles during sawtooth cycles (i.e. over a sawtooth period time-scale). Since the aim of these simulations is to estimate reliable p ...

Plasma Physics and Controled Fusion2016

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A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems

MiMiC: A Novel Framework for Multiscale Modeling in Computational Chemistry

Periodic Motion of Sedimenting Flexible Knots

Libraries of Extremely Localized Molecular Orbitals. 3. Construction and Preliminary Assessment of the New Databanks

An on/off Berry phase switch in circular graphene resonators

An Inner-Product Calculus for Periodic Functions and Curves

Bloch theorem with revised boundary conditions applied to glide and screw symmetric, quasi-one-dimensional structures

Adaptation and coaching of periodic motion primitives through physical and visual interaction

Selection of solitary waves in vertically falling liquid films

Simple predictive electron transport models applied to sawtoothing plasmas

MiMiC: A Novel Framework for Multiscale Modeling in Computational Chemistry

An Inner-Product Calculus for Periodic Functions and Curves

Selection of solitary waves in vertically falling liquid films

A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems

Bloch theorem with revised boundary conditions applied to glide and screw symmetric, quasi-one-dimensional structures

Libraries of Extremely Localized Molecular Orbitals. 3. Construction and Preliminary Assessment of the New Databanks

An on/off Berry phase switch in circular graphene resonators

Periodic Motion of Sedimenting Flexible Knots

Simple predictive electron transport models applied to sawtoothing plasmas

Adaptation and coaching of periodic motion primitives through physical and visual interaction