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» Using Python to Solve Partial Differential Equations
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MCS
2008
Springer
13 years 8 months ago
A wildland fire model with data assimilation
A wildfire model is formulated based on balance equations for energy and fuel, where the fuel loss due to combustion corresponds to the fuel reaction rate. The resulting coupled p...
Jan Mandel, Lynn S. Bennethum, Jonathan D. Beezley...
SIAMSC
2008
117views more  SIAMSC 2008»
13 years 8 months ago
Adaptive, Fast, and Oblivious Convolution in Evolution Equations with Memory
To approximate convolutions which occur in evolution equations with memory terms, a variable-stepsize algorithm is presented for which advancing N steps requires only O(N log N) op...
María López-Fernández, Christ...
CMA
2010
134views more  CMA 2010»
13 years 5 months ago
Particle tracking for fractional diffusion with two time scales
Abstract. Previous work [51] showed how to solve time-fractional diffusion equations by particle tracking. This paper extends the method to the case where the order of the fraction...
Mark M. Meerschaert, Yong Zhang, Boris Baeumer
ICIP
2002
IEEE
14 years 9 months ago
A curve evolution-based variational approach to simultaneous image restoration and segmentation
In this paper, we introduce a novel approach for simultaneous restoration and segmentation of blurred, noisy images by approaching a variant of the Mumford-Shah functional from a ...
Alan S. Willsky, Andy Tsai, Junmo Kim, Müjdat...
IEEECGIV
2005
IEEE
14 years 1 months ago
Surface Modelling Using Fourth Order Geometric Flows
We use two fourth order geometric partial differential equations to efficiently solve several surface modelling problems, including the surface blending, the N-sided hole fillin...
Guoliang Xu, Qing Pan