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New mathematical method reveals structure in neural activity in the brain
New mathematical method neural activity the brain
2015/11/12
A newly-developed mathematical method can detect geometric structure in neural activity in the brain. "Previously, in order to understand this structure, scientists needed to relate neural activity to...
Finite Volume Local Evolution Galerkin Method for Two-dimensional Relativistic Hydrodynamics
Finite volume local evolution Galerkin method evolution operator genuinely multi-dimensional method relativistic hydrodynamics
2014/9/26
The paper proposes a second-order accurate nite volume local evolution Galerkin
(FVLEG) method for two-dimensional special relativistic hydrodynamical (RHD) e-quations. Instead of using the dimensio...
The approximate method of irregular oblique derivative problem for nonlinear elliptic equa-tions in multiply connected infinite domains
Approximate method irregular oblique derivative problem nonlinear elliptic equations multiply connected infinite domains
2014/9/26
n this article, we discuss the approximate method of solving irregular
oblique derivative problem for nonlinear uniformly elliptic equation of second order
u
z1 z =F(z; u; u
z
; u
zz
) in D; (0...
Ritt-Wu's Characteristic Set Method For Ordinary Di®erence Polynomial Systems With Arbitrary Ordering
dierence polynomial ascending chain characteristic set Ritt-Wu's zero decomposition theorem
2013/9/9
In this paper, a new Ritt-Wu's characteristic set method for ordinary di®erence systems is proposed, which is valid for any admissible ordering. New deˉnition for irreducible chains and new zero ...
A Decomposition Method for Solving Unsteady Convection-Diffusion Problems
Convection-diffusion equation Decomposition method Noise terms
2010/2/25
In this study, a decomposition method for approximating the solutions of unsteady convection-diffusion problems is implemented. The approximate solution is calculated in the form of a convergent serie...
A Recursive Method for Determining the One-Dimensional Submodules of Laurent-Ore Modules
One-dimensional submodules Hyperexponential solutions Laurent-Ore algebras Associated systems
2013/9/3
We present a method for determining the one-dimensional submodules of a Laurent-Ore module. The method is based on a correspondence between hyperexponential solutions of associated systems and one-dim...
In this paper, the residue method of separation of variables is applied to a mixed problem which includes the flow of a stratified compresslble fluid and inner gravitational waves of a stratified inco...