Concept

Newton's method in optimization

Related publications (163)

Reducing computational cost and allowing automatic remeshing in FEM models of metal forming coupled with polycrystal plasticity

The paper proposes an original use of the Lagrangian particles concept for finite element computation of microstructure evolution in metal forming. The method amounts to distributing incomplete representations of the microstructure among the integration po ...

2007

A heuristic for nonlinear global optimization relevant to discrete choice models estimation

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans, Nicolas Zufferey

In most applications related to transportation, it is of major importance to be able to identify the global optimum of the associated optimization problem. The work we present in this paper is motivated by the optimization problems arising in the maximum l ...

2007

Resolving the geometry of biomolecules imaged by cryo electron tomography

Francesco Piazza

In this paper, we describe two methods for computerized analysis of cryo electron tomography reconstructions of biomolecules. Both methods aim at quantifying the degree of structural flexibility of macromolecules and eventually resolving the inner dynamics ...

2007

Griffiths Kelly Sherman correlation inequalities: a useful tool in the theory of error correcting codes

Nicolas Macris

It is shown that a correlation inequality of statistical mechanics can be applied to linear low-density parity-check codes. Thanks to this tool we prove that, under a natural assumption, the exponential growth rate of regular low-density parity-check (LDPC ...

Institute of Electrical and Electronics Engineers2007

A heuristic for nonlinear global optimization

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans, Nicolas Zufferey

We propose a new heuristic for nonlinear global optimization combining a variable neighborhood search framework with a modified trust-region algorithm as local search. The proposed method presents the capability to prematurely interrupt the local search if ...

2007

Spectral Methods

Alfio Quarteroni

Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation. The authors of that book have incorporated into this new edition the many i ...

Springer2006

Dephasing representation of quantum fidelity for general pure and mixed states

Jiri Vanicek

A general semiclassical expression for quantum fidelity (Loschmidt echo) of arbitrary pure and mixed states is derived. It expresses fidelity as an interference sum of dephasing trajectories weighed by the Wigner function of the initial state, and does not ...

2006

Solving noisy large scale fixed point problems and systems of nonlinear equations

Michel Bierlaire, Frank Crittin

Many complex transportation models can be formulated as fixed-point problems. Typical examples are the equilibrium-like models, motivated by the need to capture the interaction between the transport supply (that is, the infrastructure) and transport demand ...

2006

A Domain Decomposition Method Based on Weighted Interior Penalties for Advection-Diffusion-Reaction Problems

Erik Burman, Paolo Zunino

We propose a domain decomposition method for advection-diffusion- reaction equations based on Nitsche's transmission conditions. The advection-dominated case is stabilized using a continuous interior penalty approach based on the jumps in the gradient over ...

2006

Optimised accelerated solvent extraction of PCBs and PAHs from compost

Joseph Tarradellas, Rahel Christine Brändli

This study is the first thorough method optimisation for accelerated solvent extraction (ASE) of polychlorinated biphenyls (PCBs) and polycyclic aromatic hydrocarbons (PAHs) from chemically dried compost. For PCBs, optimised solvent composition, temperatur ...

Taylor & Francis2006

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