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[PDF] Top 20 On the variational approach to mollification in the theory of ill-posed problems and applications

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On the variational approach to mollification in the theory of ill-posed problems and applications

On the variational approach to mollification in the theory of ill-posed problems and applications

... et Mollification Un problème inverse peut être considéré comme un problème dont la formulation implique implicitement (ou explicitement) celle d’un autre problème, appelé le problème ...les applications ... Voir le document complet

132

A variational approach to regularity theory in optimal transportation

A variational approach to regularity theory in optimal transportation

... obtained in collaboration with M. Huesmann and F. Otto on the regularity of optimal transport ...maps. The main result is a quantitative version of the well-known fact ... Voir le document complet

15

The exact condition number of the truncated singular value solution of a linear ill-posed problem

The exact condition number of the truncated singular value solution of a linear ill-posed problem

... is the study of the sensitivity of the solution of a given problem to perturbations in the ...data. The concept of condition number allows us ... Voir le document complet

14

Solving optimal control problems by variational approach based on the Adomian's Decomposition Method

Solving optimal control problems by variational approach based on the Adomian's Decomposition Method

... place in control theory and is a challenging field [1], [2], ...consists in finding a control policy that steers the system from an initial state to a final one and ... Voir le document complet

2

A Smoothed Dual Approach for Variational Wasserstein Problems

A Smoothed Dual Approach for Variational Wasserstein Problems

... Examples of gradient flows ( ...examples of gradient flows computed for the isotropic total variation f (p) = ||∇p||1 as defined in ( ...use the discretization setup considered ... Voir le document complet

22

Modeling and simulation of the nucleation and propagation of damage in quasi-brittle materials: Contribution of the variational approach

Modeling and simulation of the nucleation and propagation of damage in quasi-brittle materials: Contribution of the variational approach

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

180

The variational theory of complex rays for the calculation of medium-frequency vibrations

The variational theory of complex rays for the calculation of medium-frequency vibrations

... satisfy the laws of ...account; the unknowns are discretized amplitudes for which the wavelength is rather ...large. The last feature (P3) characterizing the VTCR is that we ... Voir le document complet

23

Variational Methods in Relativistic Quantum Mechanics: New Approach to the Computation of Dirac Eigenvalues

Variational Methods in Relativistic Quantum Mechanics: New Approach to the Computation of Dirac Eigenvalues

... (3) to a system of two equations for the upper and lower spinors in ...eliminates the lower spinor and shows that this system is equivalent to an equation for ... Voir le document complet

15

A game theory approach to solve linear bi-objective programming problems

A game theory approach to solve linear bi-objective programming problems

... Over the past decade, researchers have incorporated the idea of game theory and the notion of ...applied to solving real problems with considerable ... Voir le document complet

5

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en fr New methods of data analysis in analytical biophysics : solving the inverse ill-posed problems in DOSY NMR and MS Méthodes modernes d'analyse de données en biophysique analytique : résolution des problèmes inverses en RMN DOSY et SM

... used in DOSY acquisition. (a) The original spin-echo (SE) experiment: This figure presents the simplest pulse sequence that can be used for diffusion ...After the first excitation 90! pulse, ... Voir le document complet

194

Applications of the Quillen-Suslin theorem to multidimensional systems theory

Applications of the Quillen-Suslin theorem to multidimensional systems theory

... The main purpose of this paper is to recall a general algorithm for computing bases of a free module over a commutative polynomial ring, give four new applications of the Quillen-Suslin [r] ... Voir le document complet

100

The shooting approach to optimal control problems

The shooting approach to optimal control problems

... reminiscent of the gradient algorithm introduced in Cauchy [1847], who motivated it as a way to compute a good starting point in order to apply Newton’s method for ? Preliminary ... Voir le document complet

13

The decoupling approach to quantum information theory

The decoupling approach to quantum information theory

... choose the unitary transformation randomly according to the Haar measure (which can essentially be viewed as the uniform distribu- tion over all unitaries), then the resulting protocol ... Voir le document complet

133

A variational approach to the liquid-vapor phase transition for hardcore ions in the bulk and in nanopores.

A variational approach to the liquid-vapor phase transition for hardcore ions in the bulk and in nanopores.

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

14

The Period adding and incrementing bifurcations: from rotation theory to applications

The Period adding and incrementing bifurcations: from rotation theory to applications

... contribution of this review article consists of revisiting the literature to provide sufficient conditions for the occurrence of this bifurcation scenario (described in ... Voir le document complet

84

A Methodology for solving "Ill Posed" Optimization Problem. Application to an Electrical Power Channel of an Aircraft

A Methodology for solving "Ill Posed" Optimization Problem. Application to an Electrical Power Channel of an Aircraft

... INTRODUCTION The design of electric aircraft systems today has grown in complexities because of the increase of heterogeneous elements coupled through different physical fields ... Voir le document complet

3

Applications of a splitting algorithm to decomposition in convex programming and variational inequalities

Applications of a splitting algorithm to decomposition in convex programming and variational inequalities

... Indeed, as we shall see, it contains as special cases (in addition to the algorithm of Han and Lou) the dual gradient method, the method of multipliers, and a class of matrix s[r] ... Voir le document complet

27

Some problems in graph theory and graphs algorithmic theory

Some problems in graph theory and graphs algorithmic theory

... Moreover, we applied our techniques to the so-called Bipartite Chain Deletion problem, closely related to the Proper Interval Completion problem where one is given a graph G = V, E and s[r] ... Voir le document complet

183

Knowledge and its Game-Theoretical Foundations: The Challenges of the Dialogical Approach to Constructive Type Theory

Knowledge and its Game-Theoretical Foundations: The Challenges of the Dialogical Approach to Constructive Type Theory

... However, the epistemic perspectives did not all reduce to the proof-theoretical framework: epistemic features were also implemented via game-theoretical ...by the 1960s appeared Dialogical ... Voir le document complet

59

Application Of The Variational Theory Of Complex Rays To The Determination Of Shock Induced Vibration Of A Rc Structure

Application Of The Variational Theory Of Complex Rays To The Determination Of Shock Induced Vibration Of A Rc Structure

... The structure response is obtained by a simulation with the ...time to frequency domain that is achieved by FFT (Fast Fourier Trans- ...solving the problem in the frequency ... Voir le document complet

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