38 citations · 154 across the 28 of their papers we have counts for
4 papers · 1 filter
An Iterative Least-Squares Method for the Hyperbolic Monge-Ampère Equation with Transport Boundary Condition
Maikel W. M. C. Bertens, Martijn J. H. Anthonissen, Jan H. M. ten Thije Boonkkamp +1
A least-squares method for solving the hyperbolic Monge-Ampère equation with transport boundary condition is introduced. The method relies on an iterative procedure for the gradien…
Numerical Methods for the Hyperbolic Monge-Ampère Equation Based on the Method of Characteristics
Maikel W. M. C. Bertens, Ellen M. T. Vugts, Martijn J. H. Anthonissen +2
We present three alternative derivations of the method of characteristics (MOC) for a second order nonlinear hyperbolic partial differential equation. The MOC gives rise to two mut…
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…