Well Balanced Journal

High-order Well-balanced Schemes

Notes on well-balanced orientations

This note contains some remarks on the well-balanced orientation theorem of Nash-Williams [10]. He announced in [11] an extension of his theorem. We present a proof for a generalization of this extension. We show some new consequences of Nash-Williams’ odd vertex pairing theorem. A slight generalization of a theorem of Lovász [7] will also be proved.

Informing Well-balanced Daylight Design Using Lightsolve

Designing spaces that are able to balance illumination, glare and solar gains over a whole year is a real challenge, yet a problem faced every day by building envelope designers. To assist them in this search, a full year, climate-based daylighting simulation method was developed, called Lightsolve, meant to be used early on in the design process when façade and space details have not yet been ...

Tsunami Modelling using the Well-Balanced Scheme

A well balanced numerical scheme based on stationary waves for shallow water flows with arbitrary topography has been introduced by Thanh et al. [18]. The scheme was constructed so that it maintains equilibrium states and tests indicate that it is stable and fast. Applying the well-balanced scheme for the one-dimensional shallow water equations, we study the early shock waves propagation toward...

Why Well Spread Probability Samples Are Balanced

When sampling from a finite population there is often auxiliary information available on unit level. Such information can be used to improve the estimation of the target parameter. We show that probability samples that are well spread in the auxiliary space are balanced, or approximately balanced, on the auxiliary variables. A consequence of this balancing effect is that the Horvitz-Thompson es...