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Wavelet compression of anisotropic integrodifferential operators on sparse tensor product spaces

Nils Reich (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

For a class of anisotropic integrodifferential operators $ℬ$ arising as semigroup generators of Markov processes, we present a sparse tensor product wavelet compression scheme for the Galerkin finite element discretization of the corresponding integrodifferential equations $ℬ$ u = f on [0,1]n with possibly large n. Under certain conditions on $ℬ$ , the scheme is of essentially optimal and dimension independent complexity $𝒪$ (h-1| log h |2(n-1)) without corrupting the convergence or smoothness requirements...

Weighted Monte Carlo methods for approximate solution of a nonlinear Boltzmann equation.

Mikhajlov, G.A., Rogozinskij, S.V. (2002)

Sibirskij Matematicheskij Zhurnal

Well-Posedness of Diffusion-Wave Problem with Arbitrary Finite Number of Time Fractional Derivatives in Sobolev Spaces H^s

Stojanović, Mirjana (2010)

Fractional Calculus and Applied Analysis

Mathematics Subject Classification 2010: 26A33, 33E12, 35S10, 45K05.We give the proofs of the existence and regularity of the solutions in the space C^∞ (t > 0;H^(s+2) (R^n)) ∩ C^0(t ≧ 0;H^s(R^n)); s ∊ R, for the 1-term, 2-term,..., n-term time-fractional equation evaluated from the time fractional equation of distributed order with spatial Laplace operator Δx ...

Displaying 1 – 3 of 3

Wavelet compression of anisotropic integrodifferential operators on sparse tensor product spaces

Weighted Monte Carlo methods for approximate solution of a nonlinear Boltzmann equation.

Well-Posedness of Diffusion-Wave Problem with Arbitrary Finite Number of Time Fractional Derivatives in Sobolev Spaces H^s

Currently displaying 1 – 3 of 3