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Runge-Kutta time semidiscretizations of semilinear PDEs with non-smooth data
, 2020 We study semilinear evolution equations $ ____frac {____d U}{____d t}=AU+B(U)$ posed on a Hilbert space $____kY$, where $A$ is normal and generates a strongly continuous semigroup, $B$ is a smooth nonlinearity from $____kY_____ell = D(A^____ell)$ to ...
Wulff, Claudia, Evans, C
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GPU-Accelerated Energy-Conserving Methods for the Hyperbolized Serre-Green-Naghdi Equations in 2D
We develop energy-conserving numerical methods for a two-dimensional hyperbolic approximation of the Serre-Green-Naghdi equations with variable bathymetry for both periodic and reflecting boundary conditions.
Wittenstein, Collin +3 more
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Stability and Accuracy for Implicit Semidiscretizations of Hyperbolic Problems.
Strack, Klaus-Günther
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Stability of Semidiscretizations of Hyperbolic Problems
SIAM Journal on Numerical Analysis, 1983zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olavi Nevanlinna, Rolf Jeltsch
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Nonlinear Stability of Semidiscrete Shock Waves
SIAM Journal on Mathematical Analysis, 2003This work is devoted to the asymptotic stability of the semidiscrete waves generated by discrete in space and continuous in time systems of conservation laws (lattice dynamical systems). The authors describe the semidiscrete conservative systems, study spectral stability of semidiscrete shocks, pointwise Green's function bounds for the linear lattice ...
Sylvie Benzoni-Gavage +2 more
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A semidiscrete Gardner equation
Frontiers of Mathematics in China, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Haiqiong, Zhu, Zuonong
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Semidiscrete Geometric Flows of Polygons
The American Mathematical Monthly, 2007(2007). Semidiscrete Geometric Flows of Polygons. The American Mathematical Monthly: Vol. 114, No. 4, pp. 316-328.
Bennett Chow, David Glickenstein
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Quasilinear hyperbolic and parabolic systems: Contractive semidiscretizations and convergence of the discrete viscosity method [PDF]
Journal of Mathematical Analysis and Applications, 1982 Joseph W Jérôme
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Boundary Controllability for Finite-Differences Semidiscretizations of a Clamped Beam Equation
SIAM Journal on Control and Optimization, 2017 Ionel Roventa, Nicolae Cîndea
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A note on semidiscretization methods
Mathematics and Computers in Simulation, 1978Abstract Discretization of the time variable by A-stable linear multistep methods in nonlinear evolution equations is considered. Stability and convergence results are presented, which can be applied to multistep-Galerkin procedures for nonlinear initial boundary value problems.
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