993 resultados para Wiener-Hopf equations.


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von S. Sulzer

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von Sigmund Mayer

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von Samuel Krauss

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von Max [Miksa] Pollak. Nach d. von Maurus Mezel besorgten Uebers. aus d. Ungar. bearb. von L. Moses

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von J. S. Bloch

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von Bernhard Wachstein

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An operator Riccati equation from systems theory is considered in the case that all entries of the associated Hamiltonian are unbounded. Using a certain dichotomy property of the Hamiltonian and its symmetry with respect to two different indefinite inner products, we prove the existence of nonnegative and nonpositive solutions of the Riccati equation. Moreover, conditions for the boundedness and uniqueness of these solutions are established.

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We investigate parallel algorithms for the solution of the Navier–Stokes equations in space-time. For periodic solutions, the discretized problem can be written as a large non-linear system of equations. This system of equations is solved by a Newton iteration. The Newton correction is computed using a preconditioned GMRES solver. The parallel performance of the algorithm is illustrated.