Results 61 to 70 of about 852,005 (184)
Abstract Machine learning (ML) weather models like GraphCast and NeuralGCM show forecasting promise but face fundamental limitations for data assimilation (DA) integration. This study reveals critical problems in error covariance representation and adjoint sensitivity patterns challenging their operational viability.
Xiaoxu Tian +2 more
wiley +1 more source
This paper investigates the stability of an Euler–Bernoulli beam subject to boundary memory and highlights the fundamentally different mechanisms associated with polynomially and exponentially decaying resolvent kernels. The formulation distinguishes the original memory kernel, its Volterra resolvent, the compatibility conditions, and the corresponding
Marie Esther Anassé +3 more
wiley +1 more source
High-Performance Multi-Precision Tool for Floating-Point Computations [PDF]
This paper presents a MATLAB toolbox for multiple-precision arithmetic, enabling high-precision numerical computations beyond the standard double-precision format. The development step and functionality of the toolbox are described, and how it integrates
L. Leitold, M. Alrwashdeh, Z. Kollar
doaj
How Accurate is Richardson's Error Estimate?
ABSTRACT We consider the fundamental problem of estimating the difference between the exact value T$$ T $$ and approximations Ah$$ {A}_h $$ that depend on a single real parameter h$$ h $$. It is well‐known that if the error Eh=T−Ah$$ {E}_h=T-{A}_h $$ satisfies an asymptotic expansion, then we can use Richardson extrapolation to approximate Eh$$ {E}_h $$
Carl Christian Kjelgaard Mikkelsen +1 more
wiley +1 more source
Solving the Net Worth Optimization Problem
ABSTRACT The mean–variance optimization (MVO) model of Harry M. Markowitz is the foundation of quantitative portfolio construction and asset allocation. While Markowitz originally developed MVO for forming portfolios of tradable assets in isolation, it has been adapted for creating portfolios of tradable assets in the presence of non‐tradable assets ...
Paul D. Kaplan
wiley +1 more source
New strategies for low noise, agile PLL frequency synthesis [PDF]
Phase-Locked Loop based frequency synthesis is an essential technique employed in wireless communication systems for local oscillator generation.
Wang, H.
core
Matrix Based Computation of Floating-Point Roundoff Noise [PDF]
Journal PaperA matrix based procedure is presented for computing the output roundoff noise power for filters implemented with floating-point arithmetic.
Baraniuk, Richard G., Van Veen, Barry D.
core +1 more source
A different look at roundoff noise in digital filters
IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential One of the sources of inaccuracy due to finite word length Implementation of digital filters is the multiplication ...
Patney, R., Roy, S. D.
core +1 more source
Roundoff-Error-Free Algorithms for Solving Linear Systems via Cholesky and LU Factorizations
LU and Cholesky factorizations are computational tools for efficiently solving linear systems that play a central role in solving linear programs and several other classes of mathematical programs.
Moreno-Centeno, Erick +1 more
core +1 more source
Optimal controller and filter realizations using finite-precision, floating-point arithmetic
The problem of reducing the fragility of digital controllers and filters implemented using finite-precision, floating-point arithmetic is considered.
Whidborne, J.F. +3 more
core

