Motivated by the needs of vortex methods, we describe three different exact or approximate solutions to the Poisson equation on the surface of a sphere when the forcing is a Gaussian of the three-dimensional distance, r 2 w ΒΌ expΓ°Γ2 2 Γ°1 Γ cosΓ°hΓΓ Γ C Gauss Γ°Γ. (More precisely, the forcing is a Gaus
New ways to solve the Schroedinger equation
β Scribed by R. Friedberg; T.D. Lee
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 605 KB
- Volume
- 316
- Category
- Article
- ISSN
- 0003-4916
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π SIMILAR VOLUMES
Let f be an analytic function defined on a complex domain and A β M n (C). We assume that there exists a unique Ξ± satisfying f (Ξ±) = 0. When f (Ξ±) = 0 and A is non-derogatory, we completely solve the equation XA -AX = f (X). This generalizes Burde's results. When f (Ξ±) / = 0, we give a method to sol
The wave equation model, originally developed to solve the advection-diffusion equation, is extended to the multidimensional transport equation in which the advection velocities vary in space and time. The size of the advection term with respect to the diffusion term is arbitrary. An operator-splitt