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A twin error gauge for Kaczmarz's iterations

Autor: van Lith, Bart S., Hansen, Per Christian, Hochstenbach, Michiel E.

We propose two new algebraic reconstruction techniques based on Kaczmarz's method that produce a regularized solution to noisy tomography problems. Tomography problems exhibit semi-convergence when iterative methods are employed, and the aim is there

Externí odkaz: http://arxiv.org/abs/1906.07470

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Full linear multistep methods as root-finders

Autor: van Lith, Bart S., Boonkkamp, Jan H. M. ten Thije, IJzerman, Wilbert L.

Root-finders based on full linear multistep methods (LMMs) use previous function values, derivatives and root estimates to iteratively find a root of a nonlinear function. As ODE solvers, full LMMs are typically not zero-stable. However, used as root

Externí odkaz: http://arxiv.org/abs/1702.03174

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Embedded WENO: a design strategy to improve existing WENO schemes

Autor: van Lith, Bart S., Boonkkamp, Jan H. M. ten Thije, IJzerman, Wilbert L.

Publikováno v: J. Comput. Phys. 330 (2017) 529 - 549

Embedded WENO methods utilize all adjacent smooth substencils to construct a desirable interpolation. Conventional WENO schemes under-use this possibility close to large gradients or discontinuities. We develop a general approach for constructing emb

Externí odkaz: http://arxiv.org/abs/1607.05019

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