The corrected operator splitting approach applied to a nonlinear advection-diffusion problem

Combos: Advection-Diffusion and operator splitting

Corrected Operator Splitting for Nonlinear Parabolic Equations

We present a corrected operator splitting (COS) method for solving nonlinear parabolic equations of convection-diiusion type. The main feature of this method is the ability to correctly resolve nonlinear shock fronts for large time steps, as opposed to standard operator splitting (OS) which fails to do so. COS is based on solving a conservation law for modeling convection, a heat type equation ...

Corrected Operator Splitting

We present a corrected operator splitting COS method for solving nonlinear parabolic equations of convection di usion type The main feature of this method is the ability to correctly resolve nonlinear shock fronts for large time steps as opposed to standard operator splitting OS which fails to do so COS is based on solving a conservation law for modeling convection a heat type equation for mode...

An Operator Splitting Method for Nonlinear Convection-diffusion Equations

We present a semi discrete method for constructing approximate solutions to the initial value problem for the m dimensional convection di usion equation ut r f u u The method is based on the use of operator splitting to isolate the convection part and the di usion part of the equation In the casem dimensional splitting is used to reduce the m dimensional convection problem to a series of one di...

An Accurate Operator Splitting Scheme for Nonlinear Diffusion Filtering

nonlinear diffusion filtering, operatorsplitting schemes, bilateral filtering Efficient numerical schemes for nonlinear diffusion filtering based on additive operator splitting (AOS) were introduced in [15]. AOS schemes are efficient and unconditionally stable, yet their accuracy is limited. Future applications of nonlinear diffusion filtering may require better accuracy at the expense of a rel...