Time discretization and stability regions for dissipative-dispersive Kuramoto-Sivashinsky equation arising in turbulent gas flow over laminar liquid
DOI10.1016/j.cam.2017.09.014zbMath1432.76047OpenAlexW2756219328MaRDI QIDQ1675993
A. Mouloud, H. Fellouah, Mohand Kessal, Bruce A. Wade
Publication date: 3 November 2017
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2017.09.014
Kuramoto-Sivashinsky equationexponential time differencingsemilinear PDEsdissipative-dispersive equationsthin films flows
Thin fluid films (76A20) Gas dynamics (general theory) (76N15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stabilized explicit Runge-Kutta methods for multi-asset American options
- Linearly implicit schemes for a class of dispersive-dissipative systems
- Exponential time differencing for stiff systems
- Chemical oscillations, waves, and turbulence
- On smoothing of the Crank-Nicolson scheme and higher order schemes for pricing barrier options
- Smoothing schemes for reaction-diffusion systems with nonsmooth data
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- A new class of time discretization schemes for the solution of nonlinear PDEs
- Extrapolated stabilized explicit Runge-Kutta methods
- Exponential Runge-Kutta methods for parabolic problems.
- A fast spectral algorithm for nonlinear wave equations with linear dispersion
- The locally extrapolated exponential time differencing LOD scheme for multidimensional reaction-diffusion systems
- The functional calculus for sectorial operators
- Analysis and applications of the exponential time differencing schemes and their contour integration modifications
- Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
- Computational Study of the Dispersively Modified Kuramoto–Sivashinsky Equation
- An ETD Crank-Nicolson method for reaction-diffusion systems
- Nonlinear waves in counter-current gas–liquid film flow
- Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
- The Korteweg-de Vries equation: a historical essay
- Smoothing with positivity-preserving Padé schemes for parabolic problems with nonsmooth data
- SERK2v2: A new second‐order stabilized explicit Runge‐Kutta method for stiff problems
- Fourth-Order Time-Stepping for Stiff PDEs
- Long Waves on Liquid Films
- SERK2v3: Solving mildly stiff nonlinear partial differential equations
This page was built for publication: Time discretization and stability regions for dissipative-dispersive Kuramoto-Sivashinsky equation arising in turbulent gas flow over laminar liquid