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13 papers · 2 filters

math.NA2011★ 49 cited

Reduced-order modeling for cardiac electrophysiology. Application to parameter identification

Muriel Boulakia, Elisa Schenone, Jean-Frédéric Gerbeau

A reduced-order model based on Proper Orthogonal Decomposition (POD) is proposed for the bidomain equations of cardiac electrophysiology. Its accuracy is assessed through electroca…

math.NA2011★ 6 cited

Counting eigenvalues in domains of the complex field

Emmanuel R. Kamgnia, Bernard Philippe

A procedure for counting the number of eigenvalues of a matrix in a region surrounded by a closed curve is presented. It is based on the application of the residual theorem. The qu…

math.NA2011★ 27 cited

A new model for shallow viscoelastic fluids

François Bouchut, Sébastien Boyaval

We propose a new reduced model for gravity-driven free-surface flows of shallow elastic fluids. It is obtained by an asymptotic expansion of the upper-convected Maxwell model for e…

math.NA2011★ 4 cited

On the concentration properties of Interacting particle processes

Pierre Del Moral, Peng Hu, Liming Wu

These lecture notes present some new concentration inequalities for Feynman-Kac particle processes. We analyze different types of stochastic particle models, including particle pro…

math.NA2011★ 353 cited

The Cosparse Analysis Model and Algorithms

Sangnam Nam, Mike E. Davies, Michael Elad +1

After a decade of extensive study of the sparse representation synthesis model, we can safely say that this is a mature and stable field, with clear theoretical foundations, and ap…

math.NA2011

Convergence Rate of the Causal Jacobi Derivative Estimator

Da-Yan Liu, Olivier Gibaru, Wilfrid Perruquetti

Numerical causal derivative estimators from noisy data are essential for real time applications especially for control applications or fluid simulation so as to address the new par…