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Splitting Methods with Modified Potentials and Application to the Damped Wave Equation

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Regularity And Selecting Principles For Implicit Ordinary Differential Equations

Bernard Dacorogna

Implicit Ordinary or Partial Differential Equations have been widely studied in recent times, essentially from the existence of solutions point of view. One of the main issues is to select a meaningful solution among the infinitely many ones. The most cele ...

2009

Optimal Multi-Processor SoC Thermal Simulation via Adaptive Differential Equation Solvers

Giovanni De Micheli, David Atienza Alonso, Ayse Kivilcim Coskun, Francesco Zanini

Thermal management is a critical challenge in the design of high performance multi-processor system-on-chips (MPSoCs). Therefore, accurate and fast thermal modeling tools are necessary for efficiently analyzing the thermal profiles of MPSoCs. This paper ad ...

IEEE/IFIP Press2009

Operator-like wavelets with application to functional magnetic resonance imaging

Ildar Khalidov

We introduce a new class of wavelets that behave like a given differential operator L. Our construction is inspired by the derivative-like behavior of classical wavelets. Within our framework, the wavelet coefficients of a signal y are the samples of a smo ...

EPFL2009

An iterative domain decomposition algorithm for the grad(div) operator

Michel Deville, Etienne Ahusborde

This paper describes an iterative solution technique for partial differential equations involving the grad(div) operator, based on a domain decomposition. Iterations are performed to solve the solution on the interface. We identify the transmission relatio ...

2009

Analysis and Design of Biological Circuits and Systems

Systems and synthetic biology are two emerging disciplines that hold promise to revolutionize our understanding of biological systems and to herald a new era of programmable hardware, respectively. Mathematical abstraction and today's abundance of quantita ...

IEEE2009

BECOOL: Ballooning eigensolver with COOL finite elements

Jonathan Graves, Wilfred Anthony Cooper

An incompressible variational ideal ballooning mode equation is discretized with the COOL finite element discretization scheme using basis functions composed of variable order Legendre polynomials. This reduces the second order ordinary differential equati ...

2009

On the Construction of Galois Towers

In this paper we study an asymptotically optimal tame tower over the field with p(2) elements introduced by Garcia-Stichtenoth. This tower is related with a modular tower, for which explicit equations were given by Elkies. We use this relation to investiga ...

American Mathematical Society, P.O. Box 6248 Ms. Phoebe Murdock, Providence, Ri 02940 Usa2009

Single speed solutions of the Vlasov-Poisson equations for Coulombian and Newtonian systems in nD

Philippe Choquard

Results of theoretical and numerical investigations concerning the space-time evolution in nD of Coulombian systems known in Plasma Physics and Newtonian systems known in Cosmology are reported here. A generic, canonical Hamiltonian formulation is given (1 ...

2008

Stochastic Modeling and Control of Biological Systems: The Lactose Regulation System of Escherichia coli

Mahmut Selman Sakar

In this paper, we present a comprehensive framework for stochastic modeling, model abstraction, and controller design for a biological system. The first half of the paper concerns modeling and model abstraction of the system. Most models in systems biology ...

Institute of Electrical and Electronics Engineers2008

Singularly perturbed piecewise deterministic games

Alain Haurie

In this paper we consider a class of hybrid stochastic games with the piecewise open-loop information structure. These games are indexed over a parameter

\varepsilon

which represents the time scale ratio between the stochastic (jump process) and the dete ...

Society for Industrial and Applied Mathematics2008

Singularly perturbed piecewise deterministic games

Alain Haurie

In this paper we consider a class of hybrid stochastic games with the piecewise open-loop information structure. These games are indexed over a parameter

\varepsilon

which represents the time scale ratio between the stochastic (jump process) and the dete ...

Society for Industrial and Applied Mathematics2008