Predictor-corrector scheme for simulating wave propagation on shallow water region

Modified Green’s Functions for Shallow Water Acoustic Wave Propagation

This article presents an assessment of alternative forms of the Green’s function for boundary element simulations of acoustic wave propagation in shallow water. It is assumed that the problem is two-dimensional, the source of acoustic disturbance is time-harmonic, the velocity of sound is constant and the medium in the absence of perturbations is quiescent. Efficient implementations of the boun...

12: Shallow Water Propagation

Shallow-Water Propagation

(A) For elastic sediments we derived a new PE formulation [1] that unlike any predecessor handles layered environments accurately and efficiently while remaining numerically stable. This formulation, based on different computational variables, can treat range dependent sediments and properly account for energy conservation [2]. We demonstrated additional properties and advantages of the new met...

10: Shallow Water Propagation

A Polynomial Predictor-Corrector Trust-Region Algorithm for Linear Programming

In this paper we present a scaling-invariant interior-point predictor-corrector type algorithm for linear programming (LP) whose iteration-complexity is polynomially bounded by the dimension and the logarithm of a certain condition number of the LP constraint matrix. At the predictor stage, the algorithm either takes the step along the standard affine scaling direction or a new trust-region typ...