Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Le but de ce mémoire est d'analyser différents paramètres liés à la ruine d'un assureur. La probabilité de ruine, le temps de la ruine, le surplus juste avant la ruine, en sont quelques-uns. Dans un premier temps, on étudie la probabilité de ruine et le temps de la ruine. Ensuite, on présente une approche basée sur la fonction de Gerber-Shiu permettant de dériver plusieurs autres paramètres. Enfin, nous présentons une méthode d'approximation de la probabilité de ruine basée sur un algorithme des réseaux de neurones.

Ruin Probabilities --- Time of Ruin --- Gerber-Shiu --- Extreme learning machine --- Moore-Penrose --- Probabilité de ruine --- Physique, chimie, mathématiques & sciences de la terre > Mathématiques

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Symmetry and complexity are studied by a selection of outstanding papers ranging from pure Mathematics and Physics to Computer Science and Engineering applications. In this Special Issue, the authors give a short but intensive description of the many applications of the basic structure of symmetry and complexity in many fields. Some interesting results were given in the Hydrodynamic Analysis of 3-D Hydrofoil and Marine Propeller and in the SAT Problems. The Study on Hypergraph Representations of Complex Fuzzy Information shows the importance of methods based on symmetry and complexity. A deep study of Information Technology Services in Public Organizations has been given in this issue, together with some interesting papers dealing with Adaptive Block Truncation Coding Based on an Edge-Based Quantization, SIR Model in a Patchy Environment, and the Evolution of Conformity Dynamics in Complex Social Networks. Another interesting paper provides some new insights into the Novel Computational Technique for Impulsive Fractional Differential Equations. In this collection, An Intelligent Approach for Handling Complexity by Migrating from Conventional Databases to Big Data shows the importance of such topics related to complexity.

big data --- complexity --- NoSQL databases --- Oracle NoSQL --- data migration --- B-spline scheme --- dihedral hydrofoil --- hydrodynamics --- marine propeller --- propeller wake --- sweptback hydrofoil --- surface panel method --- fractional derivative --- Adomian method --- computational technique --- conformity --- evolutionary dynamics --- ring network --- small-world network --- scale-free network --- epidemic model --- irreducible matrix --- Metzler matrix --- disease transition and transmission matrices --- decentralized control --- disease-free and endemic equilibrium points --- Moore–Penrose pseudoinverse --- next generation matrix --- patchy environment --- vaccination controls --- numerical inverse Laplace transform --- orthonormalized Bernstein polynomials --- operational matrices --- fractional differential equations --- BTC --- edge-based quantization --- reversible data hiding --- histogram shifting technique --- directional hölder regularity --- anisotropic hölder regularity --- directional scaling function --- anisotropic scaling function --- directional multifractal formalism --- wavelet bases --- sierpinski cascade functions --- fractional brownian sheets --- nonlinear equations --- multiple roots --- higher order methods --- attraction basins --- service identification --- IT service --- IT services catalog --- IT services portfolio --- multiobjective --- symmetric duality --- second-order --- nondifferentiable --- fractional programming --- support function --- Gf-bonvexity/Gf-pseudobonvexity --- complex q-rung orthopair fuzzy set --- complex q-rung orthopair fuzzy graphs --- complex q-rung orthopair fuzzy hypergraphs --- transversals --- SAT problem --- membrane computing --- P system --- splitting rule

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering.

Lipschitz condition --- heston model --- rectangular matrices --- computational efficiency --- Hull–White --- order of convergence --- signal and image processing --- dynamics --- divided difference operator --- engineering applications --- smooth and nonsmooth operators --- Newton-HSS method --- higher order method --- Moore–Penrose --- asymptotic error constant --- multiple roots --- higher order --- efficiency index --- multiple-root finder --- computational efficiency index --- Potra–Pták method --- nonlinear equations --- system of nonlinear equations --- purely imaginary extraneous fixed point --- attractor basin --- point projection --- fixed point theorem --- convex constraints --- weight function --- radius of convergence --- Frédholm integral equation --- semi-local convergence --- nonlinear HSS-like method --- convexity --- accretive operators --- Newton-type methods --- multipoint iterations --- banach space --- Kantorovich hypothesis --- variational inequality problem --- Newton method --- semilocal convergence --- least square problem --- Fréchet derivative --- Newton’s method --- iterative process --- Newton-like method --- Banach space --- sixteenth-order optimal convergence --- nonlinear systems --- Chebyshev–Halley-type --- Jarratt method --- iteration scheme --- Newton’s iterative method --- basins of attraction --- drazin inverse --- option pricing --- higher order of convergence --- non-linear equation --- numerical experiment --- signal processing --- optimal methods --- rate of convergence --- n-dimensional Euclidean space --- non-differentiable operator --- projection method --- Newton’s second order method --- intersection --- planar algebraic curve --- Hilbert space --- conjugate gradient method --- sixteenth order convergence method --- Padé approximation --- optimal iterative methods --- error bound --- high order --- Fredholm integral equation --- global convergence --- iterative method --- integral equation --- ?-continuity condition --- systems of nonlinear equations --- generalized inverse --- local convergence --- iterative methods --- multi-valued quasi-nonexpasive mappings --- R-order --- finite difference (FD) --- nonlinear operator equation --- basin of attraction --- PDE --- King’s family --- Steffensen’s method --- nonlinear monotone equations --- Picard-HSS method --- nonlinear models --- the improved curvature circle algorithm --- split variational inclusion problem --- computational order of convergence --- with memory --- multipoint iterative methods --- Kung–Traub conjecture --- multiple zeros --- fourth order iterative methods --- parametric curve --- optimal order --- nonlinear equation