... by **Newton** in both his hermeneutic **and** **inductive** methods to render **the** interpretation of empirical facts ...in **the** first part of this dissertation, hypotheses are particularly to be ...

95

... paper, **the** 2D magnetic vector potential formulation is used with **the** finite element (FE) **method**, **the** **Newton**-Raphson (NR) **method** **and** **the** implicit Euler scheme for ...

2

... addition, **the** effect of multi-scattered waves could be amplified by considering multiple-contaminated ...on **the** results obtained with this particular subsurface configuration, a second step may consist in ...

43

... element **method**; magnetic hysteresis; **Newton**-Raphson **method**; relaxation factor; three-limb transformer ...paper, **the** 2D magnetic vector potential formulation is used with **the** finite ...

22

... of **the** paper is organized as ...use **the** so-called Steklov-Poincaré operators. In Section 2 we recall **the** ﬂuid **and** solid models **and** we set **the** main ...tissues, **and** in ...

34

... A method is developed for calculating design sensitivities of an aeroelastic system using a Newton-based code. The Newton method provides a single framework: 1.) to s[r] ...

139

... Gauss-**Newton** **method** is known to have a faster convergence than **the** gradi- ent **method** in a neighbourhood of a minimum (local quadratic convergence under suitable ...that **the** descent ...

25

... **and** **the** approximate solution x j can be written as x j = x 0 + M −1 V j y j ...this **method**. In GMRES(m), **the** **method** restarts at some step m to save **the** storage **and** ...

29

... assess **the** NISTA **and** NADMM algorithms in **the** FWI/WRI framework using BM3D as ...highlight **the** adaptivity power of BM3D, we design four different velocity mod- els, where inclusions of ...

13

... using **Newton** **method** with optimal multiplier Patricia Rousseaux Thierry Van Cutsem, Fellow, IEEE Abstract— This paper deals with **the** quasi steady-state approx- imation of **the** long-term ...

7

... 3.1. **The** Marmousi II test case **The** numerical results presented in this study are obtained in **the** 2D acoustic frequency domain FWI ...of **the** pressure wave velocity is computed. We first ...

7

... processed, **the** equation has, however, to be reduced to an appropriate form. **The** first stage in Newton’s argument is thus **the** transformation of **the** equation given in **the** form ‘E (x, y) = ...

23

... is **the** Pontryagin principle, which gives rise to a Forward- Backward Stochastic Differential Equation, see ...or **the** **method** of Markovian iterations for coupled FBSDEs in ...under **the** ...

40

... Lyon **and** LAAS-CNRS, France February 5, 2018 Abstract We provide a new framework for a posteriori validation of vector- valued problems with componentwise tight error enclosures, **and** use it to design a ...

30

... of **the** divergences between them. If we restrict ourselves to Schmemann **and** Hierotheos for **the** moment, we see that **the** former, as has been noted already, takes **the** liturgy as **the** ...

230

... on **the** rules or on **the** graphs – such as **the** addition of labels or **the** use of rooted graphs – allow to obtain relatively good efficiency, these constraints seem to be too much limitative to ...

220

... Asceticism **and** **the** Eucharist Saint Symeon is both profoundly ascetic **and** strongly eucharistic in his life **and** ...since **the** ascetic **and** eucharistic in Saint Symeon reach such a ...

230

... Nous avons vu dans les chapitres précédents les différents mouvements que pouvait avoir un solide, et les forces qui peuvent s’exercer sur un solide. Comment relier ces deux chapitres, c’est ce que nous allons voir ici ...

4

... guments to compute verifiable numerical proofs of validity for inequalities in- volving polynomials **and**/or transcendental functions. – Lasserre studies certain convex sets that are defined via polynomial ...

4

... Recall that (cf. [KS], [Rus], [IR2]) a smooth irreducible non-degenerate variety X ⊂ P N is said to be a local quadratic entry locus manifold of type δ ≥ 0 (LQEL-manifold for short) if for general x, y ∈ X distinct ...

12