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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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AMC
2007
168views more  AMC 2007»
13 years 7 months ago
The method of lines for the numerical solution of a mathematical model for capillary formation: The role of tumor angiogenic fac
In this paper we present the method of lines for the numerical solution of a mathematical model for capillary formation in two space dimensions x,y. We study the tumor angiogenic ...
Arzu Erdem, Serdal Pamuk
MOC
2002
107views more  MOC 2002»
13 years 7 months ago
Combined Hermite spectral-finite difference method for the Fokker-Planck equation
The convergence of a class of combined spectral-finite difference methods using Hermite basis, applied to the Fokker-Planck equation, is studied. It is shown that the Hermite based...
Johnson C. M. Fok, Benyu Guo, Tao Tang
AMC
2006
94views more  AMC 2006»
13 years 7 months ago
Error analysis of a specialized numerical method for mathematical models from neuroscience
The exponential Euler method is a nonstandard approximation scheme that was developed specifically for the Hodgkin-Huxley differential equation models that arise in neuroscience a...
Jiyeon Oh, Donald A. French
IJBC
2010
77views more  IJBC 2010»
13 years 2 months ago
Starting homoclinic Tangencies Near 1 : 1 resonances
We construct a theory-based numerical method for starting the continuation of homoclinic tangencies near 1 : 1 resonances, for systems with arbitrary dimension 2. The core of the ...
Joseph Páez Chávez
AMC
2005
148views more  AMC 2005»
13 years 7 months ago
Review of model order reduction methods for numerical simulation of nonlinear circuits
In this paper, we reviewed several newly presented nonlinear model order reduction methods, we analyze these methods theoretically and with experiments in detail. We show the prob...
Lihong Feng