Existence and stability of solitons for fully discrete approximations of the nonlinear Schrödinger equation [PDF]
, 2012 International audienceIn this paper we study the long time behavior of a discrete approximation in time and space of the cubic nonlinear Schrödinger equation on the real line.
Bambusi, Dario +2 more
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Численные методы решения эволюционных уравнений с запаздыванием [PDF]
, 2012 Конструируются сеточные методы для гиперболических уравнений с эффектом наследственности.
Пименов, В. Г.
core
On some one-step implicit methods as dynamical systems [PDF]
, 2003 The one-step implicit methods, the backward Euler being the most known, require the solution of a nonlinear equation at each step.To avoid this, these methods can be approximated by making use of a one step of a Newton method.
Călin-Ioan Gheorghiu
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\^A-and \^I-stability of collocation Runge-Kutta methods
, 2023 This paper deals with stability of classical Runge-Kutta collocation methods. When such methods are embedded in linearly implicit methods as developed in [12] and used in [13] for the time integration of nonlinear evolution PDEs, the stability of these ...
Dujardin, Guillaume +1 more
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Computation and Stability of TravelingWaves in Second Order Evolution Equations [PDF]
, 2016 The topic of this paper are nonlinear traveling waves occuring in a system of damped waves equations in one space variable. We extend the freezing method from first to second order equations in time.
Beyn, Wolf-Jürgen +2 more
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On the convergence of a method for solving two point boundary value problems by optimal control [PDF]
, 2002 Using the idea of the least squares method, a nonlinear two point boundary value problem is transformed into an optimal control problem. For solving the optimal control problem the gradient method is used.
Ernest Scheiber
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Enhanced forecasting of Biomass-toxicity-water models using numerical simulations [PDF]
Numerical techniques are essential tools to solve reaction-diffusion models in ecology, addressing the intrinsic complexity arising from nonlinear and coupled systems.
Abbas, Mudassar +3 more
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Analytical and computational tools for the study of phase and synchrony in neural oscillators [PDF]
, 2010 En aquest treball es pretén donar una visió de les aplicacions dels sistemes dinàmics en el camp de la neurociència, així com ampliar les eines que s'utilitzen fins ara.
Castejón Company, Oriol
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Functions with bounded E-d-variation on undirected tree networks [PDF]
, 2002 In this paper we define and study functions with bounded \(E-d\)-variation on undirected tree networks. For these functions with bounded \(E-d\)-variation we establish a Jordan type theorem.
Daniela Marian
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Minisum location problems in directed networks [PDF]
, 2004 We study some location problems in directed networks: we define circular medians and p-circular medians, \(p>1\). We present an algorithm for establishing circular medians.
Daniela Marian
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