Probabilistic and Average Gel'fand Widths of Sobolev Space Equipped with Gaussian Measure in the S q -Norm.

Authors: Wu, Ruihuan¹ (AUTHOR) rhuan26@163.com, Liu, Yuqi¹ (AUTHOR), Li, Huan¹ (AUTHOR) lhan00@ncut.edu.cn

Source: Axioms (2075-1680). Jul2024, Vol. 13 Issue 7, p492. 21p.

Subject Terms: *SOBOLEV spaces, *DISCRETIZATION methods

High-resolution 3D computation of time-periodic long-wake flows with the Carrier-Domain Method and Space–Time Variational Multiscale method with isogeometric discretization.

Authors: Liu, Yang¹ (AUTHOR), Takizawa, Kenji¹ (AUTHOR) Kenji.Takizawa@tafsm.org, Tezduyar, Tayfun E.^2,3 (AUTHOR)

Source: Computational Mechanics. Jul2024, Vol. 74 Issue 1, p1-22. 22p.

Subject Terms: *DISCRETIZATION methods, *WIND turbines, *SPACETIME, *REYNOLDS number, *VECTOR spaces, *VORTEX shedding

Evaluating Numerical Stability in High-Accuracy Simulations: A Comparative Study of Time Discretization Methods for the Linear Convection Equation.

Authors: GAUR, Vibhanshu Dev¹ vibhanshudevgaur.mt22aero@pec.edu.in, PATHAK, Mayur¹, SHANKAR, Anirudh¹, SHARMA, Nidhi¹

Source: INCAS Bulletin. Jul-Sep2024, Vol. 16 Issue 3, p27-37. 11p.

Subject Terms: *FLOW instability, *DISCRETIZATION methods, *DISPERSION relations, *LINEAR equations, *ANALYTICAL solutions

Research progress on the chatter stability in machining systems.

Authors: Zhang, Xianyang^1,2 (AUTHOR), Wan, Linlin^1,2 (AUTHOR) wanlinlin@hnust.edu.cn, Ran, Xiaoru³ (AUTHOR)

Source: International Journal of Advanced Manufacturing Technology. Mar2024, Vol. 131 Issue 1, p29-62. 34p.

Subject Terms: *DISCRETIZATION methods, *SET theory, *NUMBER theory, *PROBABILITY theory, *FUZZY sets

An improved discretization method of boundary conditions in peridynamic differential operator.

Authors: Ruan, Chunlei¹ (AUTHOR) ruanchunlei@haust.edu.cn, Wang, Jun¹ (AUTHOR), Liu, Zhijun¹ (AUTHOR), Yang, Sen¹ (AUTHOR)

Source: International Journal of Computer Mathematics. May2025, p1-22. 22p. 5 Illustrations.

Subject Terms: *BOUNDARY value problems, *DISCRETIZATION methods, *TAYLOR'S series, *MATHEMATICAL singularities, *DIFFERENTIAL operators, *INTEGRALS, *HEAT conduction

Asynchronous switching and sparse discretization with time scaling for control vector parameterization optimal control.

Authors: Wang, Hainan¹ (AUTHOR), Gatzke, Edward P.¹ (AUTHOR) gatzke@sc.edu

Source: Engineering Optimization. May2025, Vol. 57 Issue 5, p1263-1290. 28p.

Subject Terms: *DISCRETIZATION methods, *VECTOR control, *TIME management, *PARAMETERIZATION

Virtual element method for solving a viscoelastic contact problem with long memory.

Authors: Xiao, Wenqiang¹ (AUTHOR) wqxiao@imu.edu.cn, Ling, Min² (AUTHOR)

Source: Mathematics & Mechanics of Solids. Apr2025, Vol. 30 Issue 4, p872-891. 20p.

Subject Terms: *DISCRETIZATION methods

Convergence and error estimates of a penalization finite volume method for the compressible Navier–Stokes system.

Authors: Lukáčová-Medviďová, Mária¹ (AUTHOR), She, Bangwei² (AUTHOR), Yuan, Yuhuan³ (AUTHOR)

Source: IMA Journal of Numerical Analysis. Mar2025, Vol. 45 Issue 2, p1054-1101. 48p.

Subject Terms: *FINITE volume method, *DISCRETIZATION methods, *COMPUTER simulation, *CRIME, *FLUIDS

Exploring Construct Measures Using Rasch Models and Discretization Methods to Analyze Existing Continuous Data.

Authors: Qiu, Chen¹ chenqiu_qpm.uky2022@outlook.com, Peabody, Michael R.², Bradley, Kelly D.³

Source: Measurement. Jan-Mar2024, Vol. 22 Issue 1, p108-120. 13p.

Subject Terms: *RASCH models, *DISCRETIZATION methods, *PROFITABILITY

A numerical study of vortex nucleation in 2D rotating Bose–Einstein condensates.

Authors: Dujardin, Guillaume¹ (AUTHOR) guillaume.dujardin@inria.fr, Lacroix-Violet, Ingrid² (AUTHOR), Nahas, Anthony³ (AUTHOR)

Source: Mathematics & Computers in Simulation. Mar2025, Vol. 229, p409-434. 26p.

Subject Terms: *BOSE-Einstein condensation, *DISCRETIZATION methods, *VORTEX motion, *NUCLEATION, *ALGORITHMS, *CONDENSATION

Combination of unsupervised discretization methods for credit risk.

Authors: Fuentes Cabrera, José G.^1,2 (AUTHOR), Pérez Vicente, Hugo A.¹ (AUTHOR), Maldonado, Sebastián^3,4 (AUTHOR), Velasco, Jonás⁵ (AUTHOR) jvelasco@cimat.mx

Source: PLoS ONE. 11/27/2023, Vol. 18 Issue 11, p1-18. 18p.

Subject Terms: *DISCRETIZATION methods, *CREDIT risk, *CREDIT risk management, *GAUSSIAN mixture models, *STATISTICAL learning

An iso-scallop tool path generation method for three-axis machining freeform surface.

Authors: Wang, Tian-Li¹ (AUTHOR), Liu, Wei^1,2 (AUTHOR) liuwei@usts.edu.cn, Fan, Lv-Yang¹ (AUTHOR), Zhang, Zi-Yu¹ (AUTHOR), Li, Peng-Fei¹ (AUTHOR)

Source: International Journal of Advanced Manufacturing Technology. Sep2023, Vol. 128 Issue 3/4, p1391-1402. 12p.

Subject Terms: *GOLDEN ratio, *DISCRETIZATION methods, *MACHINING, *POINT set theory, *SCALLOPS

Multi-axis ball-end milling force prediction model considering the influence of cutting edge.

Authors: Zhuang, Kejia¹ (AUTHOR), Yang, Yan¹ (AUTHOR), Dai, Xing² (AUTHOR), Weng, Jian^2,3 (AUTHOR) weng_jian@outlook.com, Tian, Chengjin¹ (AUTHOR), Gao, Zhongmei¹ (AUTHOR) zhongmei12345@126.com

Source: International Journal of Advanced Manufacturing Technology. Sep2023, Vol. 128 Issue 1/2, p357-371. 15p.

Subject Terms: *PREDICTION models, *DISCRETIZATION methods, *SHEARING force, *QUALITY of life, *TITANIUM

Approximation Characteristics of Gel'fand Type in Multivariate Sobolev Spaces with Mixed Derivative Equipped with Gaussian Measure.

Authors: Liu, Yuqi¹ (AUTHOR) lyq304560@163.com, Li, Huan¹ (AUTHOR) lhan00@ncut.edu.cn, Li, Xuehua¹ (AUTHOR)

Source: Axioms (2075-1680). Sep2023, Vol. 12 Issue 9, p804. 14p.

Subject Terms: *SOBOLEV spaces, *DISCRETIZATION methods, *GAUSSIAN measures

A high-precision numerical method based on spectral deferred correction for solving the time-fractional Allen-Cahn equation.

Authors: Wang, Jing (AUTHOR), Chen, Xuejuan (AUTHOR) xue_105@jmu.edu.cn, Chen, Jinghua (AUTHOR)

Source: Computers & Mathematics with Applications. Feb2025, Vol. 180, p1-27. 27p.

Subject Terms: *DISCRETIZATION methods, *ENERGY dissipation, *EQUATIONS

A priori and a posteriori error estimates for efficient numerical schemes for coupled systems of linear and nonlinear singularly perturbed initial-value problems.

Authors: Clavero, Carmelo¹ (AUTHOR) clavero@unizar.es, Kumar, Shashikant² (AUTHOR) kashyapagyat@gmail.com, Kumar, Sunil³ (AUTHOR) skumar.iitd@gmail.com

Source: Applied Numerical Mathematics. Feb2025:Part B, Vol. 208, p123-147. 25p.

Subject Terms: *DISCRETIZATION methods, *LINEAR systems, *NONLINEAR systems, *NONLINEAR functions, *A priori

Optimal convergence analysis of second‐order time‐discrete stabilized scheme for the thermally coupled incompressible MHD system.

Authors: Wang, Zhaowei¹ (AUTHOR), Wang, Danxia¹ (AUTHOR) 2621259544@qq.com, Wang, Zixuan² (AUTHOR), Zhang, Jun³ (AUTHOR), Jia, Hongen¹ (AUTHOR)

Source: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. Feb2025, Vol. 105 Issue 2, p1-33. 33p.

Subject Terms: *MAGNETOHYDRODYNAMICS, *DISCRETIZATION methods, *ITERATIVE methods (Mathematics), *DISCRETE-time systems, *COMPUTER simulation, *THERMODYNAMICS

On the Accuracy of Transport Spatial Discretization Methods for Diffusive Regimes.

Authors: Ferrer, Rodolfo M.¹ (AUTHOR) rodolfo.ferrer@studsvik.com, Larsen, Edward W.² (AUTHOR)

Source: Nuclear Science & Engineering. Feb2025, Vol. 199 Issue 2, p194-208. 15p.

Subject Terms: *TRANSPORT equation, *DISCRETIZATION methods, *HEAT equation, *DIFFUSION coefficients, *EIGENVALUES, *NEUTRON transport theory

On the stability and convergence of discontinuous Galerkin schemes for incompressible flows.

Authors: Gazca–Orozco, Pablo Alexei¹ (AUTHOR), Kaltenbach, Alex² (AUTHOR)

Source: IMA Journal of Numerical Analysis. Jan2025, Vol. 45 Issue 1, p243-282. 40p.

Subject Terms: *INCOMPRESSIBLE flow, *DISCRETIZATION methods, *VELOCITY, *FLUIDS, *DEFINITIONS

Nonstaggered central scheme with steady-state discretization for solving the open channel flows via the flux globalization.

Authors: Li, Zhen¹ (AUTHOR) zhen.li@whu.edu.cn

Source: Applied Numerical Mathematics. Jan2025, Vol. 207, p58-85. 28p.

Subject Terms: *CHANNEL flow, *DISCRETIZATION methods, *FLUX flow, *EQUILIBRIUM, *GLOBALIZATION