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» A Particle Method for the KdV Equation
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JSCIC
2002
48views more  JSCIC 2002»
13 years 10 months ago
A Particle Method for the KdV Equation
Alina Chertock, Doron Levy
MOC
2011
13 years 5 months ago
Operator splitting for the KdV equation
We provide a new analytical approach to operator splitting for equations of the type ut = Au + B(u) where A is a linear operator and B is quadratic. A particular example is the Kor...
Helge Holden, Kenneth H. Karlsen, Nils Henrik Rise...
AMC
2006
88views more  AMC 2006»
13 years 11 months ago
Invariant solutions of certain nonlinear evolution type equations with small parameters
The Fisher equation, which arises in the study of reaction diffusion waves in biology, does not display a high level of symmetry properties. Consequently, only travelling wave sol...
Ashfaque H. Bokhari, Abdul Hamid Kara, F. D. Zaman
MOC
2002
73views more  MOC 2002»
13 years 10 months ago
A stochastic particle numerical method for 3D Boltzmann equations without cutoff
Using the main ideas of Tanaka, the measure-solution {Pt}t of a 3-dimensional spatially homogeneous Boltzmann equation of Maxwellian molecules without cutoff is related to a Poisso...
Nicolas Fournier, Sylvie Méléard
GECCO
2005
Springer
136views Optimization» more  GECCO 2005»
14 years 4 months ago
Exploring extended particle swarms: a genetic programming approach
Particle Swarm Optimisation (PSO) uses a population of particles that fly over the fitness landscape in search of an optimal solution. The particles are controlled by forces tha...
Riccardo Poli, Cecilia Di Chio, William B. Langdon