{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","description":"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.","keywords":[{"id":"https://openalex.org/keywords/floating-point-arithmetic","display_name":"floating-point arithmetic","score":0.506},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"interval arithmetic","score":0.4489},{"id":"https://openalex.org/keywords/round-off-error","display_name":"rounding errors","score":0.2606},{"id":"https://openalex.org/keywords/interval-analysis","display_name":"interval analysis","score":0.2191},{"id":"https://openalex.org/keywords/cordic-algorithm","display_name":"CORDIC algorithm","score":0.4613},{"id":"https://openalex.org/keywords/computer-arithmetic","display_name":"computer arithmetic","score":0.5206},{"id":"https://openalex.org/keywords/ieee-754","display_name":"IEEE 754","score":0.7835},{"id":"https://openalex.org/keywords/floating-point-unit","display_name":"floating-point unit","score":0.4299},{"id":"https://openalex.org/keywords/rounding","display_name":"rounding","score":0.2183},{"id":"https://openalex.org/keywords/low-precision-arithmetic","display_name":"low-precision arithmetic","score":0.2413},{"id":"https://openalex.org/keywords/floating-point-representation","display_name":"floating-point representation","score":0.583},{"id":"https://openalex.org/keywords/floating-point-division","display_name":"floating-point division","score":0.8376},{"id":"https://openalex.org/keywords/floating-point-multiplier","display_name":"floating-point multiplier","score":0.6614},{"id":"https://openalex.org/keywords/multiple-precision-arithmetic","display_name":"multiple-precision arithmetic","score":0.3502},{"id":"https://openalex.org/keywords/interval-methods","display_name":"interval methods","score":0.3864},{"id":"https://openalex.org/keywords/square-root-computation","display_name":"square root computation","score":0.3348},{"id":"https://openalex.org/keywords/floating-point-numbers","display_name":"floating-point numbers","score":0.476},{"id":"https://openalex.org/keywords/trigonometric-function-computation","display_name":"trigonometric function computation","score":0.7902},{"id":"https://openalex.org/keywords/logarithmic-number-system","display_name":"logarithmic number system","score":0.5138},{"id":"https://openalex.org/keywords/floating-point-multiplication","display_name":"floating-point multiplication","score":0.7293},{"id":"https://openalex.org/keywords/arbitrary-precision-arithmetic","display_name":"arbitrary-precision arithmetic","score":0.3455},{"id":"https://openalex.org/keywords/interval-matrices","display_name":"interval matrices","score":0.2752},{"id":"https://openalex.org/keywords/single-precision-floating-point","display_name":"single precision floating point","score":0.5568},{"id":"https://openalex.org/keywords/interval-linear-systems","display_name":"interval linear systems","score":0.6425},{"id":"https://openalex.org/keywords/double-precision","display_name":"double precision","score":0.3507}],"legacy_keywords":"Floating-Point Arithmetic; Interval Analysis; High-Precision Computation; Hardware Implementation; Numerical Verification Methods; FPGA Acceleration; Decimal Floating-Point; Accuracy-Guaranteed Bit-Width Optimization; Taylor Models; Interval Uncertainty","ids":{"openalex":"https://openalex.org/T11697","wikipedia":"https://en.wikipedia.org/wiki/Floating-point_arithmetic"},"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification"},{"id":"https://openalex.org/T10211","display_name":"Computational Drug Discovery Methods"},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research"},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis"},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs"},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms"},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms"},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic"},{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling"},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation"},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory"},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic"},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms"},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering"},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications"},{"id":"https://openalex.org/T12469","display_name":"Chaos, Complexity, and Education"},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis"},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems"},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control"},{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities"},{"id":"https://openalex.org/T13182","display_name":"Quantum-Dot Cellular Automata"},{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems"},{"id":"https://openalex.org/T13523","display_name":"Mathematics, Computing, and Information Processing"}],"works_count":27822,"cited_by_count":241628,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T11697","updated_date":"2026-10-18T03:01:31","created_date":"2024-01-23T15:27:11"}