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Nonlinear rolling response in a regular sea
International Shipbuilding Progress, 1984The rolling motion of a ship has been described by a nonlinear differential equation explicitly taking into account the nonlinearities in both the righting moment and the damping. A perturbative analysis in the main resonance frequency region, relative to a regular beam sea, allows an estimate of the maximum amplitude predictable as a function of the ...
Cardo A. +2 more
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A nonlinear regularization strategy for GRAPPA calibration
Magnetic Resonance Imaging, 2009A regularization strategy is described for generalized autocalibrating partially parallel acquisition (GRAPPA) that allows successful calibration using a small number of autocalibration signals (ACS). The approach requires certain nonlinear relationships between the GRAPPA coefficients to be satisfied, which increases the redundancy so that fewer ACS ...
Mark, Bydder, Youngkyoo, Jung
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Conormal Regularity after Nonlinear Interaction
1989When more than a pair of characteristic hypersurfaces carrying conormal singularities for a solution to a nonlinear problem intersect transversally in a lower dimensional manifold, new singularities can form, even for a second order equation. An example exhibiting this phenomenon was constructed in Rauch-Reed [60], with singularities as indicated in ...
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Sequential Regularization Methods for Nonlinear Higher-Index DAEs
SIAM Journal on Scientific Computing, 1997Summary: Sequential regularization methods relate to a combination of stabilization methods and the usual penalty method for differential equations with algebraic equality constraints. This paper extends an earlier work of the authors [SIAM J. Numer. Anal., 33, No. 5, 1921-1940 (1996; Zbl 0858.65063)] to nonlinear problems and to differential algebraic
Ascher, Uri, Lin, Ping
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Regularization of Nonlinear Inverse Problems
2016Nonlinear inverse problems are much more difficult to solve than linear ones and the corresponding theory is far less developed. Each particular problem may demand a specific regularization. Nevertheless, one can formulate and analyze basic versions of nonlinear Tikhonov regularization and nonlinear iterative methods, which will be done in Sects.
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