نتایج جستجو برای: eigenfunction expansion

تعداد نتایج: 142226  

Journal: :mathematics interdisciplinary research 0
seyfollah mosazadeh university of kashan

in this paper, we investigate some properties of eigenvalues and eigenfunctions of boundary value problems with separated boundary conditions. also, we obtain formal series solutions for some partial differential equations associated with the second order differential equation, and study necessary and sufficient conditions for the negative and positive eigenvalues of the boundary value problem....

Journal: :Transactions of the American Mathematical Society 1965

Journal: :Proceedings of the National Academy of Sciences 1956

Journal: :SIAM Journal on Mathematical Analysis 1978

2011
Simo Särkkä

This paper is concerned with estimation of learning curves for Gaussian process regression with multidimensional numerical integration. We propose an approach where the recursion equations for the generalization error are approximately solved using numerical cubature integration methods. The advantage of the approach is that the eigenfunction expansion of the covariance function does not need t...

Journal: :Finance and Stochastics 2015
Lingfei Li Vadim Linetsky

This paper develops an eigenfunction expansion approach to solve discretely monitored first passage time problems for a rich class of Markov processes, including diffusions and subordinate diffusions with jumps, whose transition or Feynman-Kac semigroups possess eigenfunction expansions in L spaces. Many processes important in finance are in this class, including OU, CIR, (JD)CEV diffusions and...

Journal: :International Journal of Mathematics and Mathematical Sciences 1984

2012
H. Alemi Ardakani

The boundary-value problem for the linear horizontally-forced sloshing problem can be solved using two different classes of eigenfunction expansions. The first will be referred to as the ”cosine” expansion since the organizing centre is a cosine series in the x−direction (the horizontal direction), and the second is called the “vertical eigenfunction expansion” since the organizing centre is a ...

2015
Tiago A. Morgado David E. Fernandes Mário G. Silveirinha

We derive closed analytical formulae for the power emitted by moving charged particles in a uniaxial wire medium by means of an eigenfunction expansion. Our analytical expressions demonstrate that, in the absence of material dispersion, the stopping power of the uniaxial wire medium is proportional to the charge velocity, and that there is no velocity threshold for the Cherenkov emission. It is...

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