We describe a new, efficient approach to the imposition of exact nonreflecting boundary conditions for the scalar wave equation. We compare the performance of our approach with that of existing methods by coupling the boundary conditions to finite-difference schemes. Numerical experiments demonstrat
Arrival times for the wave equation
β Scribed by Joyce R. McLaughlin; Jeong-Rock Yoon
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 158 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let Ξ© denote an unbounded domain in β^__n__^ having the form Ξ©=β^__l__^Γ__D__ with bounded crossβsection __D__ββ^__n__β__l__^, and let __m__ββ be fixed. This article considers solutions __u__ to the scalar wave equation β__u__(__t__,__x__) +(βΞ)^__m__^__u__(__t__,__x__) = __f__(__x__)e^
## IN MEMORY OF NORMAN LEVINSON The LB norm in space-time of a solution of the Klein-Gordon equation in two space-time dimensions is bounded relative to the Lorentz-invariant Hilbert space norm; the L, norms for p > 6 are bounded relative to certain similar larger Hilbert space norms, including th
## Abstract Let __D__ β β^__n__^ be a bounded domain with piecewiseβsmooth boundary, and __q__(__x__,__t__) a smooth function on __D__ Γ [0, __T__]. Consider the timeβlike Cauchy problem magnified image magnified image Given __g__, __h__ for which the equation has a solution, we show how to approxi
Vortex dynamics for the nonlinear wave equation is a typical model of the "particle and field" theories of classical physics. The formal derivation of the dynamical law was done by J. Neu. He also made an interesting connection between vortex dynamics and the Dirac theory of electrons. Here we give