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SIAMSC
2008
150views more  SIAMSC 2008»
13 years 5 months ago
Asymptotic Stability of a Jump-Diffusion Equation and Its Numerical Approximation
Asymptotic linear stability is studied for stochastic differential equations (SDEs) that incorporate Poisson-driven jumps and their numerical simulation using Eulertype discretisa...
Graeme D. Chalmers, Desmond J. Higham
IPPS
2007
IEEE
14 years 1 days ago
Speedup using Flowpaths for a Finite Difference Solution of a 3D Parabolic PDE
Partial differential equations (PDEs) are used to model physical phenomena and then appropriate convergent numerical algorithms are employed to solve them and create computer simu...
Darrin M. Hanna, Anna M. Spagnuolo, Michael DuChen...
AMC
2006
94views more  AMC 2006»
13 years 5 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
MCS
2008
Springer
13 years 5 months ago
Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time
In many real-life applications of optimal control problems with constraints in form of partial differential equations (PDEs), hyperbolic equations are involved which typically desc...
Matthias Gerdts, Günter Greif, Hans Josef Pes...
AMC
2008
94views more  AMC 2008»
13 years 5 months ago
Modeling and inversion of net ecological exchange data using an Ito stochastic differential equation approach
A system of stochastic differential equations is studied describing a compartmental carbon transfer model that includes uncertainties arising in the model from environmental and p...
Luther White, Yiqi Luo