Freezing traveling and rotatingwaves in second order evolution equations [PDF]
, 2016 In this paper we investigate the implementation of the so-called freezing method for second order wave equations in one and several space dimensions. The method converts the given PDE into a partial differential algebraic equation which is then solved ...
Beyn, Wolf-Jürgen +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
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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\^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
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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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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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
core +2 more sources
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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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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Mathematical analysis of the dynamics of COVID-19 in Africa under the influence of asymptomatic cases and re-infection. [PDF]
Math Methods Appl Sci, 2022 Oke AS, Bada OI, Rasaq G, Adodo V.
europepmc +1 more source