Results 31 to 40 of about 85 (58)
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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Numerical analysis of a lumped parameter friction model [PDF]
, 2015 summary:We consider a contact problem of planar elastic bodies. We adopt Coulomb friction as (an implicitly defined) constitutive law. We will investigate highly simplified lumped parameter models where the contact boundary consists of just one point. In
Janovský, Vladimír
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, 2023 We guide the reader on a journey through mathematical modeling and numerical analysis, emphasizing the crucial interplay of both disciplines. Targeting undergraduate students with basic knowledge in dynamical systems and numerical methods for ordinary ...
Ranocha, Hendrik, Reisch, Cordula
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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
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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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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
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Modeling the effects of the contaminated environments on COVID-19 transmission in India. [PDF]
Results Phys, 2021 Naik PA, Zu J, Ghori MB, Naik MU.
europepmc +1 more source