专题:Numerical Methods and Algorithms

This cluster of papers focuses on the theory, implementation, and optimization of floating-point arithmetic for scientific computation. It covers topics such as interval analysis, high-precision computation, hardware implementation on FPGAs, numerical verification methods, decimal floating-point arithmetic, accuracy optimization, Taylor models, and handling interval uncertainty.
最新文献
Erratum and refinement to the mirror branch note (DOI 20144229): formal theorems on the mod 10 anomaly and the α(q) ∝ −log(q) law under Markov-3 baseline

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Origine arithmétique du déficit palindromique : mécanisme Hardy-Littlewood et loi tendance α(q) sur cinq modules premiers

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Floating-point–consistent cross-verification methodology for reproducible and interoperable DDA solvers with fair benchmarking

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Cross-Degree Universality of the Borel-Singularity Radius for Polynomial Continued Fractions — v2.1

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Cross-Degree Universality of the Borel-Singularity Radius for Polynomial Continued Fractions — v2.1

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Carry ‑ Structured Block Factorization A Structural Model for Integer Factorization Based on Block Decomposition and Carry Propagation

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Base-60 as a Three-Dimensional Prime Lattice: A Numerical Foundation for Exact Finite Division by the Primes Two, Three, and Five

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EML函数与 CL 函数:从积木范式到雕刻范式的生成元革命

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Direct Modeling of Chemical Processes in Conditions of Uncertainty of Initial Data

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A Fast-Locking Phase-Locked Loop With Joint Phase and Frequency Compensation Technique

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近5年高被引文献
Fick’s Law Algorithm: A physical law-based algorithm for numerical optimization

article Full Text OpenAlex 281 FWCI35.1089

AMFlow: A Mathematica package for Feynman integrals computation via auxiliary mass flow

article Full Text OpenAlex 231 FWCI31.9448

An enhanced hybrid arithmetic optimization algorithm for engineering applications

article Full Text OpenAlex 161 FWCI21.3707

A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations

article Full Text OpenAlex 153 FWCI7.3653

Mixed precision algorithms in numerical linear algebra

article Full Text OpenAlex 123 FWCI15.8217

General Framework for Randomized Benchmarking

article Full Text OpenAlex 120 FWCI16.2767

Electrical and Computer Engineering

book Full Text OpenAlex 110 FWCI2.5479

Introduction to Arithmetic Coding -- Theory and Practice

article Full Text OpenAlex 107 FWCI0

Sonar Signal Processing 1991

paratext Full Text OpenAlex 105 FWCI0

Introduction to Linear Algebra

book-chapter Full Text OpenAlex 99 FWCI23.1345