Results 21 to 30 of about 76 (50)

On Efficient Second Order Stabilized Semi-Implicit Schemes for the Cahn-Hilliard Phase-Field Equation

open access: yes, 2018
Efficient and energy stable high order time marching schemes are very important but not easy to construct for the study of nonlinear phase dynamics. In this paper, we propose and study two linearly stabilized second order semi-implicit schemes for the ...
Wang, Lin, Yu, Haijun
core   +1 more source

Numerical analysis of parabolic p-Laplacian: Approximation of trajectories [PDF]

open access: yes, 2000
The long time numerical approximation of the parabolic p-Laplacian problem with a time-independent forcing term and sufficiently smooth initial data is studied.
Ju, Ning
core  

Freezing similarity solutions in multi-dimensional Burgers’ Equation [PDF]

open access: yes, 2016
The topic of this paper are similarity solutions occurring in multi-dimensional Burgers’ equation. We present a simple derivation of the symmetries appearing in a family of generalizations of Burgers’ equation in d-space dimensions.
Rottmann-Matthes, Jens
core   +4 more sources

Computation of the stochastic basin of attraction by rigorous construction of a Lyapunov function [PDF]

open access: yes, 2019
The y-basin of attraction of the zero solution of a nonlinear stochastic differential equation can be determined through a pair of a local and a non-local Lyapunov function.
Bjoernsson, Hjortur   +4 more
core   +1 more source

Endogenous control in a ternary lotka-volterra model and its applications [PDF]

open access: yes, 2015
This paper aims at highlighting the role of endogenous controls in Lotka-Volterra predator-prey models. Unlike other studies in which the core lies in expanding the number of con\ub0icting species, here the stress is laid upon a control variable that ...
Chang, Ting Fa Margherita   +3 more
core  

Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. II. Indirect approximation [PDF]

open access: yes, 2002
In this paper we continue the study initiated in our previous work [3] and design a projection-like algorithm to approximate a hyperbolic unstable "point''. This "point'' is in fact the positive solution of the reaction-diffusion problem considered in [3]
Călin Ioan Gheorghiu, Damian Trif
core   +1 more source

Numerical analysis of a lumped parameter friction model [PDF]

open access: yes, 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
core  

Freezing traveling and rotatingwaves in second order evolution equations [PDF]

open access: yes, 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
core   +3 more sources

Zur Numerik nichtlinearer dynamischer Systeme: Teil 1: Gleichgewichtslösungen [PDF]

open access: yes, 2010
Der Beitrag stellt die wesentlichen Algorithmen vor, die der Berechnung und Analyse von Gleichgewichtslösungen nichtlinearer dynamischer Systeme – beschrieben durch gewöhnliche Differenzialgleichungen – dienen.
Vogt, Werner
core  

Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biology and numerical methods for ODEs

open access: yes, 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
core  

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