A unified framework is introduced for finite element and box discretizations of fractional powers of elliptic operators, where mass lumping produces the intrinsic fractional box method and error estimates are derived under consistency assumptions.
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A spectral basis truncation in space and quadrature in time is analyzed for approximating fractional stochastic evolution equations, with strong error bounds proved and verified numerically.
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Finite element and box-method discretizations for fractional elliptic problems with quadrature and mass lumping
A unified framework is introduced for finite element and box discretizations of fractional powers of elliptic operators, where mass lumping produces the intrinsic fractional box method and error estimates are derived under consistency assumptions.
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Spectral approximation of a new class of stochastic fractional evolution equations
A spectral basis truncation in space and quadrature in time is analyzed for approximating fractional stochastic evolution equations, with strong error bounds proved and verified numerically.