Keyword

rounding errors

Description: Rounding errors are numerical differences introduced when values are represented or calculated with finite precision, affecting computational accuracy and stability.

Primary topic: Numerical Methods and Algorithms (26%)

Wikidata ID: wiki/Q2145211

OpenAlex ID: keywords/round-off-error

Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems

1992 · H. A. van der Vorst · SIAM Journal on Scientific and Statistical Computing · 5,310

Introduction to Interval Analysis

2009 · Ramon E. Moore, R. Baker Kearfott, et al. · Society for Industrial and Applied Mathematics eBooks · 2,599

Routine Microsecond Molecular Dynamics Simulations with AMBER on GPUs. 1. Generalized Born

2012 · Andreas W. Götz, Mark J. Williamson, et al. · Journal of Chemical Theory and Computation · 2,048

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What every computer scientist should know about floating-point arithmetic

1991 · David Goldberg · ACM Computing Surveys · 1,751

Rounding errors in algebraic processes

1964 · Wilkinson, James Hardy · Journal of the Franklin Institute · 1,339

High-Performance Compilers for Parallel Computing

1995 · Michael Wolfe, Carter Shanklin, et al. · CERN Document Server (European Organization for Nuclear Research) · 1,300

The BOBYQA algorithm for bound constrained optimization without derivatives

2009 · M. J. D. Powell · 1,094

Spectral Methods for Time-Dependent Problems

2007 · Jan S. Hesthaven, Sigal Gottlieb, et al. · Cambridge University Press eBooks · 944

Fundamentals of Matrix Computations.

1992 · G. W. S., David S. Watkins · Mathematics of Computation · 856

Direct solutions of sparse network equations by optimally ordered triangular factorization

1967 · W.F. Tinney, J.W. Walker · Proceedings of the IEEE · 812

Numerical Linear Algebra and Applications

2010 · Biswa Nath Datta · Society for Industrial and Applied Mathematics eBooks · 708

Probabilistic automata

1963 · Michael O. Rabin · Information and Control · 651

The p -Version of the Finite Element Method

1981 · I. Babuska, B. A. Szabo, et al. · SIAM Journal on Numerical Analysis · 595

The modified equation approach to the stability and accuracy analysis of finite-difference methods

1974 · R.F Warming, B.J Hyett · Journal of Computational Physics · 574

Numerical Analysis, A Second Course

1973 · C. W. de Boor, James M. Ortega · Mathematics of Computation · 556

Review of code and solution verification procedures for computational simulation

2004 · Christopher J. Roy · Journal of Computational Physics · 505

The NEWUOA software for unconstrained optimization without derivatives

2006 · M. J. D. Powell · Nonconvex optimization and its applications · 482

Characteristics of dynamic brittle fracture captured with peridynamics

2010 · Youn Doh Ha, Florin Bobaru · Engineering Fracture Mechanics · 475

Solving linear least squares problems by Gram-Schmidt orthogonalization

1967 · Åke Björck · BIT Numerical Mathematics · 470

Interpolation Algorithms for Discrete Fourier Transforms of Weighted Signals

1983 · Thomas Grandke · IEEE Transactions on Instrumentation and Measurement · 461

Numerical inverting of matrices of high order

1947 · John von Neumann, H. H. Goldstine · Bulletin of the American Mathematical Society · 458

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Rounding Errors in Algebraic Processes

1964 · Nature · 456

Error Analysis of Direct Methods of Matrix Inversion

1961 · J. H. Wilkinson · Journal of the ACM · 440

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Initial and boundary conditions for the lattice Boltzmann method

1993 · P. A. Skordos · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 424

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Analysis of Discretization Methods for Ordinary Differential Equations

1974 · C. William Gear, Hans J. Stetter · Mathematics of Computation · 416

Works count: 5,980

Citation count: 85,830