Results 31 to 40 of about 166 (127)

Stability of rational multistep approximations of holomorphic semigroups

, 1995
In this paper we prove the stability of semidiscretizations in time of holomorphic semigroups in Banach spaces by means of A ( α ) {\text {A}}(\alpha ) -stable rational multistep methods.
C. Palencia
core   +1 more source

A-stable Runge-Kutta methods for semilinear evolution equations [PDF]

, 2017
We consider semilinear evolution equations for which the linear part generates a strongly continuous semigroup and the nonlinear part is sufficiently smooth on a scale of Hilbert spaces.
Wulff, C, Oliver, M
core   +3 more sources

Modeling Spiral Chaos in Predator–Prey Dynamics Using Implicit Integration Factor Schemes

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
This paper presents efficient implicit integration factor (IIF) methods as robust alternatives to classical finite difference schemes for the numerical solution of nonlinear time‐dependent reaction–diffusion equations in one and two spatial dimensions.
Kolade M. Owolabi, Sonal Jain, Edson Pindza, Eben Maré, Bapan Ghosh   +4 more
wiley   +1 more source

A Hybrid Computational Approach for Singularly Perturbed Parabolic Differential Equations Involving Small Negative Shift Parameters

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The present paper addresses the numerical computation of singularly perturbed differential equations incorporating small negative shift parameters in the convection and reaction terms. Since the diffusion term is scaled by a sufficiently small parameter ε(0 < ε ≪ 1), the solution typically develops multiscale characteristics manifested through boundary
Amare Worku Demsie, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Shikha Binwal   +3 more
wiley   +1 more source

The Influence of Spindle Speed Variation on the Suppression of Self‐Oscillations During Turning

Shock and Vibration, Volume 2026, Issue 1, 2026.
This paper presents the results of a study examining the effect of the spindle speed variation (SSV) mode on the suppression of self‐oscillations (chatter) during turning. Particular attention is paid to analyzing the effectiveness of the SSV mode for various types of self‐oscillations (regenerative, tangential, and coupled).
Pavlo Tryshyn, Yuriy Vnukov, Olena Kozlova, Shuang Li   +3 more
wiley   +1 more source

Transport-stabilized semidiscretizations of the incompressible Navier-Stokes equation [PDF]

, 2016
Within the framework of finite element methods, the paper investigates a general approximation technique for the nonlinear convective term of Navier-Stokes equations. The approach is based on an upwind method of the finite volume type. It has been proved
Angermann, Lutz
core   +1 more source

Structure‐Preserving Approximations of the Serre‐Green‐Naghdi Equations in Standard and Hyperbolic Form

Numerical Methods for Partial Differential Equations, Volume 41, Issue 4, July 2025.
ABSTRACT We develop structure‐preserving numerical methods for the Serre–Green–Naghdi equations, a model for weakly dispersive free‐surface waves. We consider both the classical form, requiring the inversion of a nonlinear elliptic operator, and a hyperbolic approximation of the equations, allowing fully explicit time stepping.
H. Ranocha, M. Ricchiuto
wiley   +1 more source

Finite and Infinitesimal Flexibility of Semidiscrete Surfaces [PDF]

Arnold Mathematical Journal, 2015
In this paper we study infinitesimal and finite flexibility for generic semidiscrete surfaces. We prove that generic 2-ribbon semidiscrete surfaces have one degree of infinitesimal and finite flexibility. In particular we write down a system of differential equations describing isometric deformations in the case of existence.
openaire   +3 more sources

Well‐Posedness, Long‐Time Behavior, and Discretization of Some Models of Nonlinear Acoustics in Velocity–Enthalpy Formulation

Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 8793-8805, 30 May 2025.
ABSTRACT We study a class of models for nonlinear acoustics, including the well‐known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using linearization, energy estimates, and fixed‐point arguments, we establish the existence and uniqueness of solutions ...
Herbert Egger, Marvin Fritz
wiley   +1 more source

A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional‐Order Delay Parabolic Equation

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
This study introduces a fitted numerical approach for solving singularly perturbed time‐fractional parabolic differential equations incorporating a delay term. The stability of the method is rigorously examined using the comparison principle and solution bounds, while its convergence is analyzed through the barrier function approach and the Peano ...
Nuru Ahmed Endrie, Gemechis File Duressa, Mohammad Mirzazadeh   +2 more
wiley   +1 more source