Results 51 to 60 of about 167 (129)
Regularizations of forward‐backward parabolic PDEs
GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.Abstract Forward‐backward parabolic equations have been studied since the 1980s, but a mathematically rigorous picture is still far from being established. As quite a number of new papers have appeared recently, we review in this work the current state of the art.
Carina Geldhauser
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International Journal of Mechanical System Dynamics, Volume 4, Issue 2, Page 117-130, June 2024.Abstract Design of earth structures, such as dams, tunnels, and embankments, against the vibrational loading caused by high‐speed trains, road traffic, underground explosions, and, more importantly, earthquake motion, demands solutions of the dynamic soil–structure Interaction (SSI) problem.
Vikas Sharma +2 more
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Conservation laws of semidiscrete canonical Hamiltonian equations [PDF]
Journal of Physics A: Mathematical and General, 2001 19 pages, 2 ...
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, 2020 Recently, relaxation methods have been developed to guarantee the preservation of a single global functional of the solution of an ordinary differential equation. Here, we generalize this approach to guarantee local entropy inequalities for finitely many
Dalcin, Lisandro +2 more
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On the stability of high-speed milling with spindle speed variation [PDF]
, 2010 Spindle speed variation is a well-known technique to suppress regenerative machine tool vibrations, but it is usually considered to be effective only for low spindle speeds.
Arnaud, Lionel +4 more
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Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 5999-6035, 15 May 2024.We consider the hyperbolic relaxation of the viscous Cahn–Hilliard equation with a symport term. This equation is characterized by the presence of the additional inertial term τDϕtt$$ {\tau}_D{\phi}_{tt} $$ that accounts for the relaxation of the diffusion flux.
Dieunel Dor +2 more
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Conservative Semidiscrete Difference Schemes for Timoshenko Systems [PDF]
Journal of Applied Mathematics, 2014 We present a parameterized family of finite-difference schemes to analyze the energy properties for linearly elastic constant-coefficient Timoshenko systems considering shear deformation and rotatory inertia. We derive numerical energies showing the positivity, and the energy conservation property and we show how to avoid a numerical anomaly known as ...
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Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations [PDF]
We use the general framework of summation by parts operators to construct conservative, entropy-stable and well-balanced semidiscretizations of two different nonlinear systems of dispersive shallow water equations with varying bathymetry: (i) a variant ...
Ranocha, Hendrik, Lampert, Joshua
core
Exact optimal values of step-size coefficients for boundedness of linear multistep methods [PDF]
, 2017 Linear multistep methods (LMMs) applied to approximate the solution of initial value problems—typically arising from method-of-lines semidiscretizations of partial differential equations—are often required to have certain monotonicity or boundedness ...
Lóczi, Lajos +2 more
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Modeling and simulation of the input–output behavior of a geothermal energy storage
Mathematical Methods in the Applied Sciences, Volume 47, Issue 1, Page 371-396, 15 January 2024.This paper investigates mathematical modeling and numerical methods for simulations of the input–output behavior of a geothermal energy storage. Such simulations are needed for the optimal control and management of residential heating systems equipped with an underground thermal storage. There, a given volume under or aside of a building is filled with
Paul Honore Takam +2 more
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