Results 61 to 70 of about 166 (127)
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
An Unconditionally Stable Numerical Method for Space Tempered Fractional Convection‐Diffusion Models
Journal of Mathematics, Volume 2024, Issue 1, 2024.A second‐order numerical method for two‐sided tempered fractional convection‐diffusion equations is studied in this paper, both convection term and diffusion term are approximated by the tempered weighted and shifted Grünwald difference operators, the first time partial derivative is discretized by the Crank–Nicolson method, and then a class of second ...
Zeshan Qiu, Xian-Ming Gu
wiley +1 more source
Shock and Vibration, Volume 2024, Issue 1, 2024.To solve the wave propagation problems of the Euler–Bernoulli beam in an unbounded domain effectively and efficiently, a new local artificial boundary condition technology is proposed. It replaces the residual right‐hand side of the truncated discrete equation with an equivalent linear algebraic system.
Zijun Zheng +2 more
wiley +1 more source
Boundary observability for the finite-difference space semi-discretizations of the 2-d wave equation in the square [PDF]
, 1999 We extend our previous results on the boundary observability of the finite-difference space semidiscretizations of the 1-d wave equation to 2-d in the square.
E. Zuazua, Zuazua, E.
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Computation and Uses of the Semidiscrete Matrix Decomposition [PDF]
, 1999 We derive algorithms for computing a semidiscrete approximation to a matrix in the Frobenius and weighted norms. The approximation is formed as a weighted sum of outer products of vectors whose elements are +/=1 or 0, so the storage required by the approximation is quite small.
Kolda, T.G., O'Leary, D.P.
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Blow-up for Semidiscretizations of some Semilinear Parabolic Equations with a Convection Term [PDF]
, 2015 This paper concerns the study of the numerical approximation for the following parabolic equations with a convection termwhere p > 1.We obtain some conditions under which the solution of the semidiscrete form of the above problem blows up in a finite ...
Augustin, Toure Kidjegbo +2 more
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Stability of flat interfaces during semidiscrete solidification [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2002 Summary: The stability of flat interfaces with respect to a spatial semidiscretization of a solidification model is analyzed. The considered model is the quasi-static approximation of the Stefan problem with dynamical Gibbs-Thomson law. The stability analysis bases on an argument developed by Mullins and Sekerka for the undiscretized case. The obtained
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Semidiscretization in time for nonlinear Schrödinger-waves equations
Discrete and Continuous Dynamical Systems, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Colin, Thierry, Fabrie, Pierre
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Quenching for semidiscretizations of a semilinear heat equation with Dirichlet and Neumann boundary conditions [PDF]
, 2008 summary:This paper concerns the study of the numerical approximation for the following boundary value problem: $$ \cases u_t(x,t)-u_{xx}(x,t) = -u^{-p}(x,t), & 00, \ u_{x}(0,t)=0, & u(1,t)=1, t>0, \ u(x,0)=u_{0}(x)>0, & 0\leq x \leq 1, \endcases ...
Boni, Théodore K. +2 more
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. Time-fractional semilinear and quasilinear parabolic equations with a Caputo time derivative of order [Formula: see text] are considered, solutions of which exhibit a singular behavior at an initial time of type [Formula: see text ...
Natalia Kopteva, Seán Kelly
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