20 citations · 20 across the 3 of their papers we have counts for
4 papers
Derivative polynomials and infinite series for squigonometric functions
Bart S. van Lith
All squigonometric functions admit derivatives that can be expressed as polynomials of the squine and cosquine. We introduce a general framework that allows us to determine these p…
A twin error gauge for Kaczmarz's iterations
Bart S. van Lith, Per Christian Hansen, Michiel E. Hochstenbach
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…
Full linear multistep methods as root-finders
Bart S. van Lith, Jan H. M. ten Thije Boonkkamp, Wilbert L. IJzerman
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 s…
Embedded WENO: a design strategy to improve existing WENO schemes
Bart S. van Lith, Jan H. M. ten Thije Boonkkamp, Wilbert L. IJzerman
Embedded WENO methods utilize all adjacent smooth substencils to construct a desirable interpolation. Conventional WENO schemes under-use this possibility close to large gradients…