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Among the ideas to be conveyed to students in an introductory quantum course, we have the pivotal idea championed by Dirac that functions correspond to column vectors (kets) and that differential operators correspond to matrices (ket-bras)…

物理教育 · 物理学 2007-05-23 Rafael Garcia , Alex Zozulya , James Stickney

We introduce a new formulation for the finite element immersed boundary method which makes use of a distributed Lagrange multiplier. We prove that a full discretization of our model, based on a semi-implicit time advancing scheme, is…

数值分析 · 数学 2015-03-05 Daniele Boffi , Nicola Cavallini , Lucia Gastaldi

We study asymptotic lower and upper bounds for the sizes of constant dimension codes with respect to the subspace or injection distance, which is used in random linear network coding. In this context we review known upper bounds and show…

组合数学 · 数学 2017-12-06 Daniel Heinlein , Sascha Kurz

This article proposes a boundary element method for the dynamic contact between a linearly elastic body and a rigid obstacle. The Signorini contact problem is formulated as a variational inequality for the Poincar\'{e}-Steklov operator for…

数值分析 · 数学 2023-08-08 Alessandra Aimi , Giulia Di Credico , Heiko Gimperlein

This paper presents a mixed-integer quadratic programming formulation of an existing data-driven approach to computational elasticity. This formulation is suitable for application of a standard mixed-integer programming solver, which finds…

最优化与控制 · 数学 2019-09-17 Yoshihiro Kanno

This work discusses the correct modeling of the fully nonlinear free surface boundary conditions to be prescribed in water waves flow simulations based on potential flow theory. The main goal of such a discussion is that of identifying a…

数值分析 · 数学 2023-06-06 Andrea Mola , Nicola Giuliani , Óscar Crego , Gianluigi Rozza

We provide a general formulation for the code-based test compression problem with fixed-length input blocks and propose a solution approach based on Evolutionary Algorithms. In contrast to existing code-based methods, we allow unspecified…

硬件体系结构 · 计算机科学 2011-11-09 Ilia Polian , Alejandro Czutro , Bernd Becker

This paper presents an open-source MATLAB/Simulink physics simulator for rigid-body articulated systems, including manipulators and floating-base robots. Thanks to MATLAB/Simulink features like MATLAB system classes and Simulink function…

机器人学 · 计算机科学 2024-05-15 Nuno Guedelha , Venus Pasandi , Giuseppe L'Erario , Silvio Traversaro , Daniele Pucci

This article presents a detailed introduction to density-based topology optimisation of fluid flow problems. The goal is to allow new students and researchers to quickly get started in the research area and to skip many of the initial…

计算工程、金融与科学 · 计算机科学 2023-02-03 Joe Alexandersen

We propose a model for three-dimensional solids on a mesoscopic scale with a statistical mechanical description of dislocation lines in thermal equilibrium. The model has a linearized rotational symmetry, which is broken by boundary…

We consider the well-posedness and a priori error estimates of a 3d FEM-BEM coupling method for fluid-structure interaction in the time domain. For an elastic body immersed in a fluid, the exterior linear wave equation for the fluid is…

数值分析 · 数学 2020-08-12 Heiko Gimperlein , Ceyhun Oezdemir , Ernst P. Stephan

We introduce new yet easily accessible codes for elements of $GL_r(A)$ with $A$ the adelic ring of a (dimension one) function field over a finite field. They are linear codes, and coincide with classical algebraic geometry codes when $r=1$.…

信息论 · 计算机科学 2018-06-13 Lin Weng

Many real-world optimization problems exhibit dynamic characteristics, posing significant challenges for traditional optimization techniques. Evolutionary Dynamic Optimization Algorithms (EDOAs) are designed to address these challenges…

We present a new approach to three-dimensional electromagnetic scattering problems via fast isogeometric boundary element methods. Starting with an investigation of the theoretical setting around the electric field integral equation within…

数值分析 · 数学 2019-06-28 Jürgen Dölz , Stefan Kurz , Sebastian Schöps , Felix Wolf

As inelastic structures are ubiquitous in many engineering fields, a central task in computational mechanics is to develop accurate, robust and efficient tools for their analysis. Motivated by the poor performances exhibited by standard…

数值分析 · 数学 2018-09-21 Nicola A. Nodargi

Stable dynamical systems are a flexible tool to plan robotic motions in real-time. In the robotic literature, dynamical system motions are typically planned without considering possible limitations in the robot's workspace. This work…

机器人学 · 计算机科学 2020-03-26 Matteo Saveriano , Dongheui Lee

In this work, we consider adaptive linear programming (ALP) decoding of linear codes over the finite field $\mathbb{F}_p$ of size $p$ where $p$ is a prime. In particular, we provide a general construction of valid inequalities for the…

信息论 · 计算机科学 2019-11-20 Eirik Rosnes , Michael Helmling

In order to generate initial data for nonlinear relativistic simulations, one needs to solve the Einstein constraints, which can be cast into a coupled set of nonlinear elliptic equations. Here we present an approach for solving these…

广义相对论与量子宇宙学 · 物理学 2015-05-13 Oleg Korobkin , Burak Aksoylu , Michael Holst , Enrique Pazos , Manuel Tiglio

We propose a new second-order accurate lattice Boltzmann scheme that solves the quasi-static equations of linear elasticity in two dimensions. In contrast to previous works, our formulation solves for a single distribution function with a…

数值分析 · 数学 2022-12-14 Oliver Boolakee , Martin Geier , Laura De Lorenzis

This paper proposes an explicit computational method for solving a three-dimensional system of nonlinear elastodynamic sine-Gordon equations subject to appropriate initial and boundary conditions. The time derivative is approximated by…

数值分析 · 数学 2025-06-19 Eric Ngondiep