• Title/Summary/Keyword: spectral space

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TIME DISCRETIZATION WITH SPATIAL COLLOCATION METHOD FOR A PARABOLIC INTEGRO-DIFFERENTIAL EQUATION WITH A WEAKLY SINGULAR KERNEL

  • Kim Chang-Ho
    • The Pure and Applied Mathematics
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    • v.13 no.1 s.31
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    • pp.19-38
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    • 2006
  • We analyze the spectral collocation approximation for a parabolic partial integrodifferential equations(PIDE) with a weakly singular kernel. The space discretization is based on the spectral collocation method and the time discretization is based on Crank-Nicolson scheme with a graded mesh. We obtain the stability and second order convergence result for fully discrete scheme.

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THE SPECTRAL DECOMPOSITION FOR FLOWS ON TVS-CONE METRIC SPACES

  • Lee, Kyung Bok
    • Journal of the Chungcheong Mathematical Society
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    • v.35 no.1
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    • pp.91-101
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    • 2022
  • We study some properties of nonwandering set Ω(𝜙) and chain recurrent set CR(𝜙) for an expansive flow which has the POTP on a compact TVS-cone metric spaces. Moreover we shall prove a spectral decomposition theorem for an expansive flow which has the POTP on TVS-cone metric spaces.

Spectral p-dilations and polynomially bounded operators

  • Lee, Mi-Young;Lee, Sang-Hun
    • Journal of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.889-895
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    • 1995
  • Let $H$ be a separable, infinite dimensional, complex Hilbert space and let $L(H)$ denote the algebra of all bounded linear operators on $H$.

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On a Generalized Volterra Equation by means of Spectral Measures

  • Kim, Jee Gon
    • The Mathematical Education
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    • v.21 no.3
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    • pp.25-28
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    • 1983
  • In this paper we examine some properties of spectral measures and try to establish a fundamental theorem on the existence of the solution of a generalized Volterra equation in a Hilbert space as the results.

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