Results 41 to 50 of about 7,840 (182)

How Accurate is Richardson's Error Estimate?

Concurrency and Computation: Practice and Experience, Volume 37, Issue 27-28, 25 December 2025.
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, Lorién López‐Villellas   +1 more
wiley   +1 more source

Loop integration results using numerical extrapolation for a non-scalar integral

, 2004
Loop integration results have been obtained using numerical integration and extrapolation. An extrapolation to the limit is performed with respect to a parameter in the integrand which tends to zero. Results are given for a non-scalar four-point diagram.
Berntsen, De Ridder, E. de Doncker, F. Yuasa, Ferroglia, Fujimoto, Higham, J. Fujimoto, J. Van Voorst, K. Kaugars, Kahan, L. Cucos, Piessens, Wynn, Y. Shimizu   +14 more
core   +1 more source

IllinoisGRMHD: An Open-Source, User-Friendly GRMHD Code for Dynamical Spacetimes [PDF]

, 2015
In the extreme violence of merger and mass accretion, compact objects like black holes and neutron stars are thought to launch some of the most luminous outbursts of electromagnetic and gravitational wave energy in the Universe.
Etienne, Zachariah B., Haas, Roland, Moesta, Philipp, Paschalidis, Vasileios, Shapiro, Stuart L.   +4 more
core   +2 more sources

Solving the Net Worth Optimization Problem

FINANCIAL PLANNING REVIEW, Volume 8, Issue 4, December 2025.
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

On error-spectrum shaping in state-space digital filters [PDF]

, 1985
A new scheme for shaping the error spectrum in state-space digital filter structures is proposed. The scheme is based on the application of diagonal second-order error feedback, and can be used in any arbitrary state-space structure having arbitrary ...
Vaidyanathan, P. P.
core   +1 more source

Mixed Precision Iterative Refinement for Least Squares With Linear Equality Constraints and Generalized Least Squares Problems

Numerical Linear Algebra with Applications, Volume 32, Issue 5, October 2025.
ABSTRACT Recent development on mixed precision techniques has largely enhanced the performance of various linear algebra solvers, one of which is the solver for the least squares problem. By transforming least squares problems into augmented linear systems, mixed precision techniques are capable of refining the lower precision solution to the working ...
Bowen Gao, Yuxin Ma, Meiyue Shao
wiley   +1 more source

Simulation of Cavity Flow by the Lattice Boltzmann Method

, 1994
A detailed analysis is presented to demonstrate the capabilities of the lattice Boltzmann method. Thorough comparisons with other numerical solutions for the two-dimensional, driven cavity flow show that the lattice Boltzmann method gives accurate ...
Chen, Shiyi, Cogley, Allen C., Doolen, Gary D., Hou, Shuling, Zou, Qisu   +4 more
core   +1 more source

tmm4py: Global Ocean Biogeochemical Modeling in Python With the Transport Matrix Method

Journal of Advances in Modeling Earth Systems, Volume 17, Issue 8, August 2025.
Abstract Marine biogeochemical models are important tools in the quest to understand the cycling of chemical and biological tracers such as nutrients, carbon and oxygen, as well as key components of the Earth System Models used to project climate change.
Samar Khatiwala
wiley   +1 more source

A Review of Green's Function Methods for Tracer Timescales and Pathways in Ocean Models

Journal of Advances in Modeling Earth Systems, Volume 17, Issue 7, July 2025.
Abstract Understanding advective‐diffusive dispersal of trace substances in environmental fluids like the global ocean is a ubiquitous challenge in geophysics. Since the turn of the millennium, substantial progress has been made in the theory, implementation in models, and application of such tracers in oceanography.
Thomas W. N. Haine, Stephen M. Griffies, Geoffrey Gebbie, Wenrui Jiang   +3 more
wiley   +1 more source

Bond-Propagation Algorithm for Thermodynamic Functions in General 2D Ising Models

, 2007
Recently, we developed and implemented the bond propagation algorithm for calculating the partition function and correlation functions of random bond Ising models in two dimensions.
A. George, B. Derrida, E. W. Carlson, H. Nishimori, I. Syozi, J. H. H. Perk, M. Y. J. Tan, R. J. Lipton, Y. L. Loh   +8 more
core   +1 more source