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CONVERGENCE OF A SEMI-DISCRETE SCHEME FOR THE CURVE SHORTENING FLOW

Mathematical Models and Methods in Applied Sciences, 1994
Convergence for a spatial discretization of the curvature flow for curves in possibly higher codimension is proved in L∞((0, T), L2(ℝ/2π)) ∩ L2((0, T) H1(ℝ/2π)). Asymptotic convergence in these norms is achieved for the position vector and its time derivative which is proportional to curvature.
G. Dziuk
openaire   +4 more sources

A novel semi-discrete scheme preserving uniformly exponential stability for an Euler–Bernoulli beam

Systems & Control Letters, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Jiankang, Guo, Bao-Zhu
openaire   +3 more sources

A semi-discrete central scheme for magnetohydrodynamics on orthogonal–curvilinear grids

Journal of Computational Physics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
U. Ziegler
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Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise

Mathematics of Computation, 2023
We consider a fully discrete scheme for stochastic Allen-Cahn equation in a multi-dimensional setting. Our method uses a polynomial based spectral method in space, so it does not require the elliptic operator A A and the covariance operator
Can Huang, Jie Shen
semanticscholar   +1 more source

Observer-Based Control for Discrete-Time Hidden Semi-Markov Jump Systems

IEEE Transactions on Automatic Control, 2023
In this note, the control problem for discrete-time hidden semi-Markov jump systems is investigated under the situation that the system modes are unavailable directly.
Hao Shen   +4 more
semanticscholar   +1 more source

FLUID SIMULATION USING AN ADAPTIVE SEMI-DISCRETE CENTRAL-UPWIND SCHEME

International Journal of Computational Methods, 2007
In this paper, we propose an adaptive semi-discrete central-upwind scheme on triangular meshes to approximate the solutions of hyperbolic conservation laws in gas dynamics: a local smoothness indicator is implemented to identify discontinuous solution regions; away from the discontinuities, a simple and computationally economical flux is used; near ...
Cai, L.   +3 more
openaire   +1 more source

Security Control for Networked Discrete-Time Semi-Markov Jump Systems With Round-Robin Protocol

IEEE Transactions on Circuits and Systems - II - Express Briefs, 2022
This brief investigates the security control for a class of networked discrete-time semi-Markov jump systems subject to round-robin protocol. Considering the deception attack and round-robin protocol, observer-based security control scheme is first ...
Hui Shang, Guangdeng Zong, Wenhai Qi
semanticscholar   +1 more source

A semi‐discrete convergent scheme for a quasilinear hyperbolic equation

Numerical Methods for Partial Differential Equations, 1987
AbstractWe establish here the convergence (thereby proving the existence) of a semi‐discrete scheme for the quasilinear hyperbolic equation magnified image where x ∈ Rn, t ∈ [0,T], and ϕ ∈ L∞ (Rn). It is well known that the above problem does not necessarily have global classical solutions and the usual concepts of weak solution.
Kannan, Rangachary, Ortega, Rafael
openaire   +2 more sources

New High-Resolution Semi-discrete Central Schemes for Hamilton–Jacobi Equations

Journal of Computational Physics, 2000
The subject of this paper is a finite difference scheme for the Hamilton - Jacobi equation \[ \phi_t+H(\nabla_x\phi)=0, \] where \(H\) is the Hamiltonian and \(x=(x_1,x_2,\cdots,x_d)\). The proposed scheme is of central type i.e. values of the function \(\phi\) and its space derivatives are computed (in the case of one space dimension), in the point ...
Kurganov, Alexander, Tadmor, Eitan
openaire   +2 more sources

Semi-discrete finite-element approximation of nonlocal hyperbolic problem

Applicable Analysis, 2020
In this paper, we investigate a semi-discrete finite-element approximation of nonlocal hyperbolic problem. A priori error estimate for the semi-discrete scheme is derived. A fully discrete scheme based on backward difference method is constructed.
Sudhakar Chaudhary, V. Srivastava
semanticscholar   +1 more source

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