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Barotropic instability of zonally asymmetric atmospheric flows over
Vectorized algorithms and systolic arrays for Toeplitz systems
Domain decomposition methods for the wave Helmholtz equation
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algorithm approximation arbitrary arithmetic operations Assume asymptotic expansion block boundary conditions boundary value problem Bruhat decomposition caustic coefficients computational cost consider constructed convergence rate Corollary corresponding defined deflation denote derive diagonal difference scheme differential domain decomposition method eigenfunctions eigenvalue of problem eigenvalue problem eigenvector elementary divisor entries equality error example filter following estimate formula frequency response grid Hence holds implies inequality integral equation introduce iterative method iterative process kernel Kuznetsov Laplace operator Lemma linear algebraic Math Mathematics matrix mesh minimal eigenvalue Monte Carlo Monte Carlo method Moscow Nauka nodes non-zero norm notation obtain one-dimensional optimal orthogonal parallelepiped parameters pencil D(A permutation polynomial solutions positive definite problem 1.1 Proof Proposition proved random right-hand side Russian saddle points satisfied scalar product Section singularity solving space spectral spline subspace symmetric system of equations Theorem 2.1 transformation valid variables vector function zero