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Enhanced Numerical Equivalent Acoustic Material (eNEAM): Analytical and Numerical Framework for Porous Media with Thermo-Viscous Effects for Time Domain Simulations. [PDF]

Materials (Basel)
Iglesias PC, Godinho L, Redondo J.
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Semi‐discretization method for delayed systems

International Journal for Numerical Methods in Engineering, 2002
AbstractThe paper presents an efficient numerical method for the stability analysis of linear delayed systems. The method is based on a special kind of discretization technique with respect to the past effect only. The resulting approximate system is delayed and also time periodic, but still, it can be transformed analytically into a high‐dimensional ...
Insperger, Tamás, Stépán, Gábor
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Contractivity of θ‐method for semi‐discrete systems

Numerical Methods for Partial Differential Equations, 1996
This paper is concerned with nonlinear semi-discrete problems obtained when finite difference methods or Faedo-Galerkin methods are used to discretize reaction-diffusion systems with respect to the spatial variables. The purpose of this article is to give sufficient conditions for the contractivity of the \(\theta\) method in a norm generated by a ...
Galeone, Luciano, Mastroserio, Carmela
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Stability and Accuracy of Semi-discretized Finite Difference Methods

IMA Journal of Numerical Analysis, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iserles, A., Williamson, R. A.
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A semi-discretization method for delayed stochastic systems

Communications in Nonlinear Science and Numerical Simulation, 2005
Consider ordinary stochastic differential equations with discrete time-delay governed by \[ dX(t) = [ A X(t) + A_\tau X(t-\tau) ] dt + \sigma(X,t) dW(t) \] where \(W(t), t\in R\) is a standard \(d\)-dimensional Wiener process \((W(0)=0\), \(E [W(t)]=0\), \(E [W(t)]^2=| t| \)), \(A\) and \(A_\tau\) are nonrandom real-valued matrices, and \(\tau > 0 ...
Elbeyli, O., Sun, J. Q., Ünal, G.
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One-step splitting methods for semi-discrete parabolic equations

Computing, 1979
The main purpose of the paper is to discuss splitting methods for parabolic equations via the method of lines. Firstly, we deal with the formulation of these methods for autonomous semi-discrete equations $$\frac{{dy}}{{dt}} = f(y),{\rm E}f{\rm E}non - linear,$$ f satisfying a linear splitting relation\(f(y) = \sum\limits_{i = 1}^k {f_i (y ...
van der Houwen, P. J., Verwer, J. G.
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Modified Nyström Methods for Semi-discrete Hyperbolic Differential Equations

SIAM Journal on Numerical Analysis, 1981
First and second order Nystrom type methods are derived for second order differential equations, without first derivatives, possessing the following properties: (i) the stability interval equals $4m^2 ,m$ denoting the number of stages per integration step; (ii) the method is internally stable irrespective of the value of m; (iii) the storage ...
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The Semi-Discrete Finite Element Method for the Cauchy Equation

Applied Mechanics and Materials, 2014
In this paper, we employ semi-discrete finite element method to study the convergence of the Cauchy equation. The convergent order can reach. In numerical results, the space domain is discrete by Lagrange interpolation function with 9-point biquadrate element.
Lei Hou, Xian Yan Sun, Lin Qiu
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The semi-discrete method for solving high-dimension wave equation

Applied Mathematics and Mechanics, 1998
The linear homogeneous three-dimensional Cauchy-Dirichlet problem is considered. The authors discuss a semi-discretization method to solve this problem numerically. The basic idea of the method is to discretize in two space variables and considering the resulting system of one-dimensional wave equations, which is transformed into a system of integral ...
Wu, Jiancheng, Cai, Rizeng
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Semi-discrete iteration methods in x-ray tomography

2020
Das Ziel der Computertomographie (CT) ist es, durch nicht-invasives bzw. zerstörungsfreies Messen Erkenntnisse über die innere Struktur eines Objekts zu gewinnen. Dabei werden Röntgenstrahlen durch das zu inspizierende Objekt geschickt und die Intensitätsabnahme der Strahlen nach Verlassen des Objekts gemessen.
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