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GALERKIN AND RUNGE{KUTTA METHODS: UNIFIED FORMULATION, A POSTERIORI ERROR ESTIMATES AND NODAL SUPERCONVERGENCE
Continuous discontinuous Galerkin methods
2015/12/11
We unify the formulation and analysis of Galerkin and Runge{Kutta
methods for the time discretization of parabolic equations. This, together with
the concept of reconstruction of the approximate sol...
Closed-loop convex formulation of classical and singular value loop shaping
Singular value circulation formation control dynamic systems digital technology application control system design
2015/8/12
We show that control system design via classical loop shaping and singular value loop shaping can be formulated as a closed-loop convex problem. Consequently, loop shaping problems can be solved by ef...
Operadic formulation of topological vertex algebras and Gerstenhaber or Batalin-Vilkovisky algebras
Operadic formulation topological vertex algebras Gerstenhaber Batalin-Vilkovisky algebras
2015/3/25
We give the operadic formulation of (weak, strong) topological vertex algebras, which are variants of topological vertex operator algebras studied recently by Lian and Zuckerman. As an application, we...
Information geometry and the hydrodynamical formulation of quantum mechanics
Information geometry the hydrodynamical formulation quantum mechanics Differential Geometry
2012/4/18
Let (M,g) be a compact, connected and oriented Riemannian manifold. We denote D the space of smooth probability density functions on M.
On a unified formulation of completely integrable systems
integrable systems Hamiltonian dynamics linear normal forms
2011/7/7
The purpose of this article is to show that a $\mathcal{C}^1$ differential system on $\R^n$ which admits a set of $n-1$ independent $\mathcal{C}^2$ conservation laws defined on an open subset $\Omega\...
Nonsmooth Formulation of the Support Vector Machine for a Neural Decoding Problem
Nonsmooth Formulation Support Vector Machine Neural Decoding Problem
2011/1/18
This paper formulates a generalized classification algorithm with an applica-tion to classifying (or ‘decoding’) neural activity in the brain. Medical doctors and researchers have long been interested...
The recently proposed first-order parent formalism at the level of equations of motion is specialized to the case of Lagrangian systems. It is shown that for diffeomorphism-invariant theories the pare...
Several different hybrid Vlasov-fluid systems are formulated as Euler-Poincar´e systems and
compared in the same framework. In particular, the discussion focuses on three major hybrid
MHD mode...
A mixed integer linear formulation for the open shop earliness-tardiness scheduling problem
Open shop scheduling Earliness/Tardiness criterion
2010/9/25
This paper addresses the problem of minimizing total earliness/tardiness penalty in an open shop scheduling environment with non-identical parallel machines. This problem is formulated as a mixed inte...
Nonsmooth Formulation of the Support Vector Machine for a Neural Decoding Problem
Nonsmooth Formulation the Support Vector Machine Neural Decoding Problem
2011/1/4
This paper formulates a generalized classification algorithm with an application to classifying (or `decoding') neural activity in the brain. Medical doctors and researchers have long been interested ...
On the performance of the variational multiscale formulation for subsurface flow and transport in heterogeneous porous media
variational multiscale formulation subsurface flow and transport heterogeneous porous media
2011/3/3
The following work compares two popular mixed nite elements used to model subsur-face
ow and transport in heterogeneous porous media; the lowest order Raviart-Thomas element and the variational mul...
Rolling Manifolds: Intrinsic Formulation and Controllability
Rolling Manifolds Intrinsic Formulation Controllability
2010/11/19
In this paper, we consider two cases of rolling of one smooth connected complete Riemannian manifold $(M,g)$ onto another one $(\hM,\hg)$ of equal dimension $n\geq 2$. The rolling problem $(NS)$ corre...
Holomorphic quantization of linear field theory in the general boundary formulation
Holomorphic quantization of linear field theory general boundary formulation
2010/12/16
We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the Kähle...
A pedagogical introduction to the Slavnov formulation of quantum Yang-Mills theory
pedagogical introduction Slavnov formulation quantum Yang-Mills theory
2010/12/16
Over the last few years, Slavnov has proposed a formulation of quantum Yang–Mills theory in the Coulomb gauge which preserves simultaneously manifest Lorentz invariance and gauge invariance of the gho...
First order parent formulation for generic gauge field theories
First order parent formulation generic gauge field theories
2010/12/15
We show how a generic gauge field theory described by a BRST differential can systematically be reformulated as a first order parent system whose spacetime part is determined by the de Rham differenti...