Splitting method applied to hyperbolic problem with source term

A dissipative Galerkin method applied to some quasilinear hyperbolic equations

— À nonstandard continuous-in-time Galerkin method, based on piecewise polynomial spaces, is applied io the periodic initial value problem for the équation ut = a(x, ty u)ux + ƒ(*, ty «). Under the condition that a(x, t, u) > «o > 0 for the solution, optimal order L error estimâtes are derived.

An Accurate Deterministic Projection Method for Hyperbolic Systems with Stiff Source Term

Unstructured Mesh Methods Applied to Hyperbolic Pdes with Source Terms: Error Estimates and Mesh Quality

The solution of hyperbolic systems with stii source terms is of great importance in areas such as combustion and atmospheric dispersion. The nite-volume approach used here for such problems employs a sophisticated splitting approach for eeciency and adaptive tetrahedral meshes to provide the necessary resolution for physically meaningful solutions. This raises the issues of how to estimate the ...

Fekete-Szegö Problem of Functions Associated with Hyperbolic Domains

In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their associated functional inequalities have always attracted the researchers. In particular, Fekete-Szegö inequality is one of such vastly studied a...

AN INVERSE PROBLEM WITH UNKNOWN RADIATION TERM

In this paper, we consider an inverse problem of linear heat equation with nonlinear boundary condition. We identify the temperature and the unknown radiation tern from an overspecified condition on the boundary