Optimal Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method and Exponential Time Differencing Schemes for the Thin Film Epitaxy Problem Without Slope Selection

Cites Work

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A fully discrete stable discontinuous Galerkin method for the thin film epitaxy problem without slope selection
Optimal error estimates of the local discontinuous Galerkin method for surface diffusion of graphs on Cartesian meshes
Exponential time differencing for stiff systems
Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy
Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling
Unconditionally stable schemes for equations of thin film epitaxy
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
A new class of time discretization schemes for the solution of nonlinear PDEs
The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
A linear energy stable scheme for a thin film model without slope selection
Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach
A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability
High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation
Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations
Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems
The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection
Thin film epitaxy with or without slope selection
Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection
Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation
Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

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