Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials
MetadataShow full item record
In this paper, we describe the diffusive shallow water equation (DSW) and discuss a numerical strategy to solve it using the generalized-?? method as a method for temporal discretization. This method provides a good norm estimate of the error and guarantees an optimal convergence rate for the spatial discretization. We also discuss the effect of higher polynomial orders on the convergence rates, focusing on the nonlinear DSW problem. Our numerical experiments show that optional convergence rates can be obtained for polynomial orders 1 through 4.
Showing items related by title, author, creator and subject.
Zhou, Yixiao; Bloch, Harry (2018)We examine differences in wage rates across countries for workers working in the same industry, distinguishing workers in the low- medium- and high-skill groups. These differences are large and show persistence over time. ...
Absolute reconstruction of the closing of the Mongol-Okhotsk Ocean in the Mesozoic elucidates the genesis of the slab geometry underneath EurasiaWu, Lei; Kravchinsky, V.; Gu, Y.; Potter, D. (2017)©2017. American Geophysical Union. All Rights Reserved. Understanding the present-day fast seismic velocity anomalies in the mantle requires an accurate kinematic reconstruction of past convergent tectonics. Using the ...
Adaptive antenna array beamforming using a concatenation of recursive least square and least mean square algorithmsSrar, Jalal Abdulsayed (2011)In recent years, adaptive or smart antennas have become a key component for various wireless applications, such as radar, sonar and cellular mobile communications including worldwide interoperability for microwave ...