115 citations · 215 across the 16 of their papers we have counts for
5 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…
Complete flux scheme for variable velocity fields: coupling between the advection-diffusion equation and the Poisson equation for the velocity field
Hanz Martin Cheng, Jan ten Thije Boonkkamp
In this work, we consider an advection-diffusion equation, coupled to a Poisson equation for the velocity field. This type of coupling is typically encountered in models arising fr…
Complete Flux Scheme for Elliptic Singularly Perturbed Differential-Difference Equations
Sunil Kumar, B. V. Rathish Kumar, J. H. M. Ten Thije Boonkkamp
In this study, we propose a new scheme named as complete flux scheme (CFS) based on the finite volume method for solving singularly perturbed differential-difference equations (SPD…
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…