Results 61 to 70 of about 27,297,467 (168)

On numerical stability of continued fractions

Математичні Студії
The paper considers the numerical stability of the backward recurrence algorithm (BR-algorithm) for computing approximants of the continued fraction with complex elements.
V. Hladun, V. Кravtsiv, M. Dmytryshyn, R. Rusyn   +3 more
doaj   +1 more source

Communication-efficient and quantum-resistant PKE with multi-ciphertexts equality test

Cybersecurity
Amid the rapid evolution of cloud computing, safeguarding data privacy has become a core priority for both academic and industrial communities. To protect user data from unauthorized access, vast volumes of sensitive information are encrypted before ...
Tongchen Shen, Wanqing Wang, Xiangxue Li, Xiaogang Zhou   +3 more
doaj   +1 more source

A Practical Preprocessing Pipeline for Sensor-Constrained Output-Only Modal Identification of a High-Rise Building Under Non-Stationary Typhoon Responses

IEEE Access
Operational Modal Analysis (OMA) identifies dynamic characteristics from output responses alone, without measured excitation, which makes it well suited to Structural Health Monitoring (SHM).
Seokjae Heo
doaj   +1 more source

Error Analysis of Sum-Product Algorithms under Stochastic Rounding

SIAM Journal on Scientific Computing
Abstract. The quality of numerical computations can be measured through their forward error, for which finding good error bounds is challenging in general. For several algorithms and using stochastic rounding (SR), probabilistic analysis has been shown to be an effective alternative for obtaining tight error bounds.
de Oliveira Castro, Pablo, El Arar, El-Mehdi, Petit, Eric, Sohier, Devan   +3 more
openaire   +5 more sources

LEAP: High-Performance Lattice-Based Pseudorandom Number Generator

IACR Transactions on Symmetric Cryptology
At EUROCRYPT2012, Banerjee, Peikert, and Rosen introduced Ring Learning With Rounding (RLWR) problem and constructed lattice-based pseudorandom functions for the first time.
Yu Zhang, Xianhui Lu, Yijian Liu, Yongjian Yin, Kunpeng Wang   +4 more
doaj   +1 more source

Learning Memory Operators with Physics-Informed Neural Networks: State Recovery, Kernel Reconstruction, and Parameter Identifiability

Mathematics
Memory-dependent evolution equations replace the time derivative of the state by a convolution with a memory kernel K(t). They are used in anomalous diffusion, viscoelasticity and tumour-growth modelling, usually with K fixed in advance, most often as ...
José Alberto Rodrigues
doaj   +1 more source

MODFLOW-based analysis on seepage in discrete fissure networks

Carsologica Sinica
Studies on karst bedrock fissures face challenge in modeling due to the heterogeneity and anisotropy of fissures. Groundwater primarily flows through fissure and pipe networks within karst aquifer systems, while the bedrock pores and micro-fissures ...
Jinli WANG, Xi CHEN, Zhicai ZHANG, Jianrong KANG, Jinshan HU   +4 more
doaj   +1 more source

A COMPARISON OF PRE-ROUNDING AND POST-ROUNDING FLOATING POINT DIVIDE ORDERS [PDF]

, 2008
This paper addresses the advantages and disadvantages of pre-rounding vs. post-rounding in a floating-point register. In this day when high speed computers with long registers are the norm, one may think that a rounding scheme is nearly irrelevant ...
Kettler, Paul C.
core  

Goodness-of-fit Criteria for the Adams and Jefferson Rounding Methods and their Limiting Laws

, 2006
Apportionment method, q-Stationary multiplier method, Rounding error analysis, Sainte–Laguë divergence, Convergence in distribution, Gaussian limit law,
Schwingenschlögl, Udo, Udo Schwingenschlögl, Lothar Heinrich, Heinrich, Lothar   +3 more
core   +1 more source

Stochastic Rounding 2.0, with a View towards Complexity Analysis

Stochastic Rounding is a probabilistic rounding mode that is surprisingly effective in large-scale computations and low-precision arithmetic. Its random nature promotes error cancellation rather than error accumulation, resulting in slower growth of ...
Drineas, Petros, Ipsen, Ilse C. F.
core