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Unique continuation for the Helmholtz equation using stabilized finite element methods

6 years ago

AbstractIn this work we consider the computational approximation of a unique continuation problem for the Helmholtz equation using a stabilized finite element…

Breast cancer diagnosis by surface-enhanced Raman scattering (SERS) of urine

7 years ago

AbstractBackground: There is an ongoing research for breast cancer diagnostic tools that are cheaper, more accurate and more convenient than…

Invariant sets and attractors for Hanusse-type chemical systems with diffusions

7 years ago

AbstractWe are concerned with Hanusse-type chemical models with diffusions. We show that some bounded invariant sets ⊂R^{N} found for the…

An extension of the second order dynamical system that models Nesterov’s convex gradient method

7 years ago

Abstract In this paper we deal with a general second order continuous dynamical system associated to a convex minimization problem…

New optimization algorithms for neural network training using operator splitting techniques

7 years ago

AbstractWe present a new type of optimization algorithms, adapted for neural network training. These algorithms are based upon sequential operator…

A gradient-type algorithm with backward inertial steps associated to a nonconvex minimization problem

7 years ago

AbstractWe investigate an algorithm of gradient type with a backward inertial step in connection with the minimization of a nonconvex…

Hybrid differential equations with maxima via Picard operators theory

7 years ago

AbstractThe aim of this paper is to discuss some basic problems (existence and uniqueness, data dependence) of the Cauchy problem…

Dhage iteration method for approximating solutions of nonlinear differential equations with maxima,

7 years ago

AbstractIn this paper we study the initial value problem of first order nonlinear differential equations with maxima and discuss the…

History-dependent contact models for viscoplastic materials

7 years ago

AbstractWe consider two mathematical models which describe the frictionless process of contact between a rate-type viscoplastic body and a foundation.…

A viscoplastic contact problem with normal compliance, unilateral constraint and memory term

7 years ago

AbstractWe consider a mathematical model which describes the quasistatic contact between a viscoplastic body and a foundation. The material’s behavior…

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