Browsing by Subject "Error estimates"
Now showing items 1-5 of 5
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Article
Backward difference formulae for Kuramoto–Sivashinsky type equations
(2017)We analyze the discretization of the periodic initial value problem for Kuramoto–Sivashinsky type equations with Burgers nonlinearity by implicit–explicit backward difference formula (BDF) methods, establish stability and ...
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Article
Computational study of the dispersively modified Kuramoto-Sivashinsky equation
(2012)We analyze and implement fully discrete schemes for periodic initial value problems for a general class of dispersively modified Kuramoto-Sivashinsky equations. Time discretizations are constructed using linearly implicit ...
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Article
Linearly implicit schemes for a class of dispersive-dissipative systems
(2011)We consider initial value problems for semilinear parabolic equations, which possess a dispersive term, nonlocal in general. This dispersive term is not necessarily dominated by the dissipative term. In our numerical ...
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Article
Linearly implicit schemes for multi-dimensional Kuramoto-Sivashinsky type equations arising in falling film flows
(2014)This study introduces, analyses and implements space-time discretizations of two-dimensional active dissipative partial differential equations such as the Topper-Kawahara equation
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Article
Special boundary approximation methods for laplace equation problems with boundary singularities- Applications to the motz problem
(2006)We investigate the convergence of special boundary approximation methods (BAMs) used for the solution of Laplace problems with a boundary singularity. In these methods, the solution is approximated in terms of the leading ...