The phrase "a sweeping method" is correct and usable in written English.
It can be used to describe a comprehensive or all-encompassing approach to a task or problem.
Example: "The researchers employed a sweeping method to analyze the data, ensuring that no aspect was overlooked."
Alternatives: "a broad approach" or "a comprehensive technique."
A solution algorithm for the model is designed as a Runge Kutta Discontinuous Galerkin method for the hyperbolic system coupled with a fast sweeping method for the Eikonal-type equation on unstructured meshes.
We develop a fast sweeping method for the factored eikonal equation.
In this paper, we construct a second order fast sweeping method with a discontinuous Galerkin (DG) local solver for computing viscosity solutions of a class of static Hamilton Jacobi equations, namely the Eikonal equations.
Numerically, the paraxial parabolic wave equation is solved by a fast Huygens sweeping method, while the nonlinear elliptic PDE is handled by the alternating direction explicit (ADE) method.
We propose a simple, fast sweeping method based on the Lax Friedrichs monotone numerical Hamiltonian to approximate viscosity solutions of arbitrary static Hamilton Jacobi equations in any number of spatial dimensions.
This model is numerically solved by a cell-centered finite volume scheme and a fixed-point iterative sweeping method.
The fast sweeping method is a popular algorithm for solving a variety of static Hamilton Jacobi equations.
By adding surfactant at a concentration around the critical micelle concentration and by properly designing the voltage configuration, the flows in a microchip were effectively manipulated and this sweeping method was successfully moved to microchip CE using tetradecyltrimethylammonium bromide (TTAB).
With such applications in mind, we propose a new Eulerian computational geometrical-optics method, dubbed the fast Huygens sweeping method, for computing Green functions of Helmholtz equations in inhomogeneous media in the high-frequency regime and in the presence of caustics.
With such applications in mind, starting from Babich's expansion, we develop a new high-order asymptotic method, which we dub the fast Huygens sweeping method, for solving point-source Helmholtz equations in inhomogeneous media in the high-frequency regime and in the presence of caustics.
