A unifying framework for finite wordlength realizations [PDF]
A general framework for the analysis of the finite wordlength (FWL) effects of linear time-invariant digital filter implementations is proposed. By means of a special implicit system description, all realization forms can be described.
Whidborne, James F. +4 more
core +1 more source
A Practical pedestrian approach to parsimonious regression with inaccurate inputs [PDF]
A measurement result often dictates an interval containing the correct value. Interval data is also created by roundoff, truncation, and binning. We focus on such common interval uncertainty in data.
Seppo Karrila
doaj
Quantifying Numerical Energy Dissipation in Implicit Large Eddy Simulations
Abstract A novel methodology, using energy tracers, is introduced with the aim of diagnosing numerical energy dissipation, both globally and locally, in numerical models of the atmosphere. Energy dissipation might correspond to some physical process, such as the cascade of kinetic energy to unresolved scales if that energy is not restored as heat ...
J. Thuburn
wiley +1 more source
Optimal Controller and Filter Realisations using Finite-precision, Floating- point Arithmetic. [PDF]
The problem of reducing the fragility of digital controllers and filters implemented using finite-precision, floating-point arithmetic is considered.
Whidborne, James F. +7 more
core +1 more source
The Role of Dice in the Emergence of the Probability Calculus
Summary The early development of the probability calculus was clearly influenced by the roll of dice. However, while dice have been cast since time immemorial, documented calculations on the frequency of various dice throws date back only to the mid‐13th century.
David R. Bellhouse, Christian Genest
wiley +1 more source
Network-coded internet-friendly transport protocol
This paper presents the design of network-coded TCP (NCTCP). NCTCP is a reliable TCP-like transport protocol that uses network coding to dramatically improve the overall performance in networks with lossy links.
Justin Ridgewell, Hala ElAarag
doaj +1 more source
FloeNet: A Mass‐Conserving Global Sea Ice Emulator That Generalizes Across Climates
Abstract We introduce FloeNet, a graph neural network trained to emulate the Geophysical Fluid Dynamics Laboratory global sea ice model, SIS2. FloeNet is a mass‐conserving model, emulating 6‐hr mass and area budget tendencies related to sea ice and snow‐on‐sea‐ice growth, melt, and advection.
William Gregory +10 more
wiley +1 more source
Convergence and roundoff errors in a two-dimensional eigenvalue problem using spectral methods and Arnoldi-Chebyshev algorithm [PDF]
We show that an efficient way for solving 2D stability problems in fluid mechanics is to use, after discretization of the equations that cast the problem in the form of a generalized eigenvalue problem, the incomplete Arnoldi-Chebyshev method.
V. FRAYSSE +6 more
core +1 more source
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
Optimal realizations of floating-point implemented digital controllers with finite word length considerations. [PDF]
The closed-loop stability issue of finite word length (FWL) realizations is investigated for digital controllers implemented in floating-point arithmetic. Unlike the existing methods which only address the effect of the mantissa bits in floating-point
Whidborne, James F. +7 more
core +1 more source

