Wave phenomena manifest in nature as electromagnetic waves, acoustic waves, and gravitational waves among others. Their descriptions as partial differential equations in electromagnetics, acoustics, and fluid dynamics are ubiquitous in science and engineering. Having numerical methods to solve these problems efficiently is therefore of great importance and value to domains such as aerospace engineering, geophysics, and civil engineering. Wave problems are characterized by the finite speeds at which waves propagate and present a series of challenges for the numerical methods aimed at solving them. This dissertation is concerned with the development and analysis of numerical algorithms for solving wave problems efficiently using a computer. I...
An important part in the numerical simulation of tsunami and storm surge events is the accurate mode...
In the present article, we describe a few simple and efficient finite volume type schemes on moving ...
The paper proposes a new, conservative fully-discrete scheme for the numerical solution of the regul...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/88...
This thesis presents high-order numerical methods for time-dependent simulations of oceanic wave pro...
Wave propagation problems can be modeled by partial differential equations. In this thesis, we study...
We present the concept of spectral/hp element methods, i.e. finite element methods of arbitrarily (h...
Forecasting water waves and currents in near shore and off shore regions of the seas and oceans is e...
Often caused with little to no warning, tsunamis can cause devastating damage to coastal cities and ...
Every wave solver serving the computational study of waves meets a trade-off of two figures of merit...
This monograph presents cutting-edge research on dispersive wave modelling, and the numerical method...
Thesis (Ph.D.)--University of Washington, 2014Submarine landslides can generate tsunamis, and the ge...
The shallow-water equations (SWE), derived from the incompressible Navier-Stokes equations using the...
Storm surges have a devastating impact on coastlines throughout the United States. In order to accur...
International audienceThis monograph presents numerical methods for solving transient wave equations...
An important part in the numerical simulation of tsunami and storm surge events is the accurate mode...
In the present article, we describe a few simple and efficient finite volume type schemes on moving ...
The paper proposes a new, conservative fully-discrete scheme for the numerical solution of the regul...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/88...
This thesis presents high-order numerical methods for time-dependent simulations of oceanic wave pro...
Wave propagation problems can be modeled by partial differential equations. In this thesis, we study...
We present the concept of spectral/hp element methods, i.e. finite element methods of arbitrarily (h...
Forecasting water waves and currents in near shore and off shore regions of the seas and oceans is e...
Often caused with little to no warning, tsunamis can cause devastating damage to coastal cities and ...
Every wave solver serving the computational study of waves meets a trade-off of two figures of merit...
This monograph presents cutting-edge research on dispersive wave modelling, and the numerical method...
Thesis (Ph.D.)--University of Washington, 2014Submarine landslides can generate tsunamis, and the ge...
The shallow-water equations (SWE), derived from the incompressible Navier-Stokes equations using the...
Storm surges have a devastating impact on coastlines throughout the United States. In order to accur...
International audienceThis monograph presents numerical methods for solving transient wave equations...
An important part in the numerical simulation of tsunami and storm surge events is the accurate mode...
In the present article, we describe a few simple and efficient finite volume type schemes on moving ...
The paper proposes a new, conservative fully-discrete scheme for the numerical solution of the regul...