A Fast Wavelet-to-Wavelet Propagation Method for the Simulation of Long-Range Propagation in Low Troposphere

Wavelet Based Simulation of Elastic Wave Propagation

A wavelet-based method for simulation of two-dimensional elastic wave propagation

S U M M A R Y A wavelet-based method is introduced for the modelling of elastic wave propagation in 2-D media. The spatial derivative operators in the elastic wave equations are treated through wavelet transforms in a physical domain. The resulting second-order differential equations for time evolution are then solved via a system of first-order differential equations using a displacement-veloc...

A Fast Wavelet Collocation Method for High-Speed Circuit Simulation

The advance of very large scale integration (VLSI) systems has been continuously challenging today’s circuit simulators in both computational speed and stability. This paper presents a novel approach, the fast wavelet collocation method (FWCM), for high-speed circuit simulation. FWCM has the following properties: 1) it works in the time domain, so that circuit nonlinearity can be handled and nu...

Efficient numerical simulation for long range wave propagation

We develop an efficient algorithm for simulating wave propagation over long distances with both weak and strong scatterers. In domains with weak heterogeneities the wave field is decomposed into forward propagating and back scattered modes using two coupled parabolic equations. In the region near strong scatterers, the Helmholtz equation is used to capture the strong scattering events. The key ...

Nerve impulse propagation and wavelet theory

A luminous stimulus which penetrates in a retina is converted to a nerve message. Ganglion cells give a response that may be approximated by a wavelet. We determine a function PSI which is associated with the propagation of nerve impulses along an axon. Each kind of channel (inward and outward) may be open or closed, depending on the transmembrane potential. The transition between these states ...