In this paper, we use Hermite weighted essentially non-oscillatory (HWENO) schemes with a Lax-Wendroff time discretization procedure, termed HWENO-LW schemes, to solve Hamilton-Jacobi equations. The idea of the reconstruction in the HWENO schemes comes from the original WENO schemes, however both the function and its first derivative values are evolved in time and are used in the reconstruction...

Wave propagation forward modeling is a widely used computational method in oil and gas exploration. The iterative stencil loops in such problems have broad applications in scientific computing. However, executing such loops can be highly time-consuming, which greatly limits their performance and power efficiency. In this paper, we accelerate the forward-modeling technique on the latest multi-co...

In many application domains, the preferred approaches to the numerical solution of hyperbolic partial differential equations such as conservation laws are formulated as finite difference schemes. While finite difference schemes are amenable to physical interpretation, one disadvantage of finite difference formulations is that it is relatively difficult to derive the so-called goal oriented a po...

When using high-order schemes to solve hyperbolic conservation laws in bounded domains, it is necessary properly treat boundary conditions so that the overall accuracy and stability are maintained. In [1, 2] a finite difference treatment method proposed for Runge-Kutta methods of laws. The combines an inverse Lax-Wendroff procedure WENO type extrapolation achieve desired stability. this paper, ...

Abstract We study the following wave equation $$u_{tt}-\Delta u+\alpha (t)\left| u_{t}\right| ^{m(\cdot )-2}u_{t}=0$$ u tt - Δ + α ( t ) <mm...

We present a solver of 3D two-fluid plasma model for the simulation short-pulse laser interactions with plasma. This resolves equations ideal gas closure. also include Bhatnagar-Gross-Krook collision model. Our is based on PseudoSpectral Time-Domain (PSTD) method to solve Maxwell's curl equations. use Strang splitting integrate Euler source term: while are solved composite scheme mixing Lax-Fri...

The problem of traffic congestion is becoming endemic due to increased levels of populations owning automobiles. In an effort to minimize congestion, an accurate method for modeling the flow of traffic is imperative. While randomized microscopic models can be very accurate, they are computationally much slower than macroscopic models. Furthermore, macroscopic models can be very accurate in mode...

Abstract Conservation properties of iterative methods applied to implicit finite volume discretizations nonlinear conservation laws are analyzed. It is shown that any consistent multistep or Runge-Kutta method globally conservative. Further, it Newton’s method, Krylov subspace and pseudo-time iterations conservative while the Jacobi Gauss-Seidel not in general. If using an explicit a locally di...