Geometric Numerical Integration for Hamiltonian Monte Carlo and Extrapolation

Authors: Shaw, Luke

Contributors: University/Department: Universitat Jaume I. Escola de Doctorat

Thesis Advisors: Casas, Fernando, Sanz-Serna, JM

Source: TDX (Tesis Doctorals en Xarxa)

Subject Terms: Geometric Numerical Integration, Splitting methods, Hamiltonian Monte Carlo, Symplectic Integrators, Extrapolation methods, Numerical Analysis, Ciències

File Description: application/pdf

Access URL: http://hdl.handle.net/10803/692560

The implicit formulas of numerical integration digital models of nonlinear transformers.

Authors: Umarov, Shukhrat¹ (AUTHOR) shumarov195@mail.ru, Sapaev, Khushnud¹ (AUTHOR), Abdullabekov, Islambek^1,2 (AUTHOR)

Source: AIP Conference Proceedings. 2025, Vol. 3331 Issue 1, p1-5. 5p.

Subject Terms: *NUMERICAL integration, *NONLINEAR systems, *ELECTROMAGNETISM, *ELECTRIC currents, *MATHEMATICS, *ELECTROMAGNETS, *MATHEMATICAL models

Solving definite integrals using numerical method.

Authors: Nuraliev, Farxod¹ (AUTHOR), Kuziev, Shaxobiddin^2,3 (AUTHOR) shaxobiddin.qoziyev.89@gmail.com, Rasulov, Rashidjon^4,5 (AUTHOR), Mahkamova, Diyorakhon⁴ (AUTHOR)

Source: AIP Conference Proceedings. 2025, Vol. 3377 Issue 1, p1-8. 8p.

Subject Terms: *DEFINITE integrals, *NUMERICAL integration, *DISCRETIZATION methods, *VANDERMONDE matrices, *ERROR functions, *ALGEBRAIC equations, *DERIVATIVES (Mathematics), *ALGORITHMS

A multimode classical hierarchical Fokker–Planck equations approach to molecular vibrations: Simulating two-dimensional spectra.

Authors: Hoshino, Ryotaro, Tanimura, Yoshitaka

Source: Journal of Chemical Physics; 11/7/2025, Vol. 163 Issue 17, p1-11, 11p

Subject Terms: BROWNIAN motion, FOKKER-Planck equation, NUMERICAL integration, INTERMOLECULAR forces, NONLINEAR systems

Adaptive Magnetic Field Compensation for High-Precision Current Sensing in Eccentricity-Prone Circular Hall Sensor Arrays

Authors: Tang, Y., Min, C., Lu, J., Quan, S.

Source: IEEE Sensors Journal IEEE Sensors J. Sensors Journal, IEEE. 25(22):41399-41408 Nov, 2025

A General Calculation Method for Spacecraft Orbital Heat Flux

Authors: Chen, Qi

Source: 2025 IEEE 26th China Conference on System Simulation Technology and its Applications (CCSSTA) System Simulation Technology and its Applications (CCSSTA), 2025 IEEE 26th China Conference on. :188-193 Jul, 2025

Relation: 2025 IEEE 26th China Conference on System Simulation Technology and its Applications (CCSSTA)

Deterministic Sampling with Separation of Variables in Spherical Coordinates

Authors: Frisch, Daniel, Hanebeck, Uwe D.

Source: 2025 28th International Conference on Information Fusion (FUSION) Information Fusion (FUSION), 2025 28th International Conference on. :1-8 Jul, 2025

Relation: 2025 28th International Conference on Information Fusion (FUSION)

Linear-Cost Vecchia Approximation of Multivariate Normal Probabilities.

Authors: Cao, Jian¹ (AUTHOR), Katzfuss, Matthias² (AUTHOR) katzfuss@gmail.com

Source: Journal of the American Statistical Association. Aug2025, p1-14. 14p. 8 Illustrations.

Subject Terms: *MONTE Carlo method, *DISTRIBUTION (Probability theory), *PROBABILITY theory, *ALGORITHMS, NUMERICAL integration, GAUSSIAN processes, APPROXIMATION algorithms, MISSING data (Statistics)

From physically-based to learning-based in cloth simulation: evolution and future—a scoping review.

Authors: He, Jing¹ (AUTHOR), Cao, Yuanjie¹ (AUTHOR), Guo, TangSheng¹ (AUTHOR), Liang, Wei¹ (AUTHOR), Huang, Jin^1,2 (AUTHOR) derick0320@foxmail.com, Liu, Qian¹ (AUTHOR), Yang, Huaiyuan¹ (AUTHOR), Liu, Sen³ (AUTHOR), He, Ruhan^1,2 (AUTHOR)

Source: Visual Computer. Dec2025, Vol. 41 Issue 15, p12711-12742. 32p.

Subject Terms: *NUMERICAL integration, *SIMULATION methods & models, *STATISTICAL models, *COMPUTER-generated imagery, *DYNAMIC models, *COMPUTER simulation, *GRAPHICS processing units

A multi-resolution sparse hash table strategy for efficient numerical integration of stiff combustion systems using the G-Scheme.

Authors: Malpica Galassi, Riccardo¹ (AUTHOR) riccardo.malpicagalassi@uniroma1.it, Valorani, Mauro¹ (AUTHOR)

Source: Combustion Theory & Modelling. Dec2025, Vol. 29 Issue 7, p751-782. 32p.

Subject Terms: *NUMERICAL integration, *MULTIPLE scale method, *INTEGRALS, *DYNAMICAL systems, *MATHEMATICAL optimization, *EIGENVALUES

An Optimal Quadrature Formula With Derivative for Weakly Singular Integrals.

Authors: Hayotov, Abdullo^1,2,3 (AUTHOR), Babaev, Samandar^1,3,4 (AUTHOR) s.s.boboev@buxdu.uz

Source: Mathematical Methods in the Applied Sciences. 11/30/2025, Vol. 48 Issue 17, p15591-15601. 11p.

Subject Terms: *NUMERICAL integration, *FRACTIONAL integrals, *SINGULAR integrals, *ERROR functions, *APPROXIMATION error, *MATHEMATICAL optimization, *HILBERT space, *QUANTITATIVE research

Fractional Error Bounds for Lobatto Quadrature: A Convexity Approach via Riemann–Liouville Integrals.

Authors: Liao, Li¹ (AUTHOR), Lakhdari, Abdelghani^2,3 (AUTHOR), Awan, Muhammad Uzair^3,4 (AUTHOR) muawan@gcuf.edu.pk, Xu, Hongyan^4,5 (AUTHOR), Meftah, Badreddine^5,6 (AUTHOR)

Source: Axioms (2075-1680). Nov2025, Vol. 14 Issue 11, p823. 15p.

Subject Terms: *FRACTIONAL calculus, *NUMERICAL integration, *MATHEMATICAL inequalities, *CONVEX functions, *FRACTIONAL integrals

An Efficient Quasi-Monte Carlo Algorithm for High Dimensional Numerical Integration.

Authors: Zhong, Huicong¹ (AUTHOR), Feng, Xiaobing² (AUTHOR) xfeng@utk.edu

Source: Mathematics (2227-7390). Nov2025, Vol. 13 Issue 21, p3437. 26p.

Subject Terms: *NUMERICAL integration, *MONTE Carlo method, *DIMENSIONAL analysis, *ALGORITHMS, *LATTICE theory, *MATHEMATICAL optimization

Efficient Evaluation of Sobol' Sensitivity Indices via Polynomial Lattice Rules and Modified Sobol' Sequences.

Authors: Todorov, Venelin^1,2 (AUTHOR) venelin@parallel.bas.bg, Zhivkov, Petar^1,2 (AUTHOR)

Source: Mathematics (2227-7390). Nov2025, Vol. 13 Issue 21, p3402. 20p.

Subject Terms: *SENSITIVITY analysis, *NUMERICAL integration, *QUANTITATIVE research, *MONTE Carlo method

Sharp Error Bounds for Weddle's Quadrature via a Novel Twice‐Differentiable Convex Kernel.

Authors: Javed, Iram¹ (AUTHOR), Xia, Yong¹ (AUTHOR) yxia@buaa.edu.cn

Source: Mathematical Methods in the Applied Sciences. Nov2025, p1. 27p. 4 Illustrations.

Subject Terms: *NUMERICAL integration, *CONVEX functions, *ERROR analysis in mathematics, *HOLDER spaces, *QUANTITATIVE research, *BESSEL functions

Improving the modified linearly implicit quantized state system methods: step size, cycle detection, and linear approximation coefficient.

Authors: Elbellili, Elmongi^1,2 (AUTHOR) Elmongi.Elbellili@mil.be, Blondeel, Philippe¹ (AUTHOR), Huybrechs, Daan² (AUTHOR), Lauwens, Ben¹ (AUTHOR)

Source: Simulation. Nov2025, Vol. 101 Issue 11, p1153-1164. 12p.

Subject Terms: *NUMERICAL integration, *DIFFERENTIAL equations, *ENGINEERING systems, *DISCRETIZATION methods, *PIECEWISE linear approximation, *ALGORITHMS, *COMPUTER simulation

Fixed‐period strategy for maintaining the absolute configuration of large‐scale LEO constellations.

Authors: Zuo, Xiaoyu^1,2 (AUTHOR), Li, Ke¹ (AUTHOR), Chen, Lin² (AUTHOR), He, Xingji³ (AUTHOR), Xu, Ming^1,2 (AUTHOR) xuming@buaa.edu.cn

Source: Advances in Space Research. Oct2025, Vol. 76 Issue 8, p4663-4678. 16p.

Subject Terms: *NUMERICAL integration, *ORBITS (Astronomy), *EARTH (Planet), *SCHEDULING, *FORECASTING

Semi-analytical optimal control for spacecraft constrained hovering over tumbling object.

Authors: Feng, Zhan^1,2,3 (AUTHOR) fengzhan@buaa.edu.cn, Bai, Xue^2,3 (AUTHOR) baixue1002@buaa.edu.cn, Jiang, Jun⁴ (AUTHOR) junjiang_astro@163.com, Zhu, Jun⁵ (AUTHOR) 12393692@qq.com, Xu, Ming^1,2,3,6 (AUTHOR) xuming@buaa.edu.cn

Source: Advances in Space Research. Oct2025, Vol. 76 Issue 8, p4401-4416. 16p.

Subject Terms: *NUMERICAL integration, *ANALYTICAL solutions, *CONSTRAINED optimization, *ENERGY industries, *SPACE vehicles

Grüss–Ostrowski inequalities and bounded variation.

Authors: Gryszka, Karol¹ (AUTHOR) karol.gryszka@uken.krakow.pl

Source: Journal of Inequalities & Applications. 10/16/2025, Vol. 2025 Issue 1, p1-12. 12p.

Subject Terms: *FUNCTIONS of bounded variation, *NUMERICAL integration, *CUMULATIVE distribution function, *RANDOM variables, *APPROXIMATION error, *MATHEMATICAL inequalities, *MATHEMATICAL analysis

Absolute nodal coordinate formulation beam element with arbitrary cross-section based on Monte Carlo integration.

Authors: Shuo, Li¹ (AUTHOR) ls15285648752@163.com, Hongsheng, Zhang¹ (AUTHOR) zhanghs@hit.edu.cn, Zuqing, Yu² (AUTHOR) yuzq@hhu.edu.cn, Yue, Wang¹ (AUTHOR) wang_yue@hit.edu.cn

Source: Acta Mechanica. Oct2025, Vol. 236 Issue 10, p6323-6338. 16p.

Subject Terms: *MONTE Carlo method, *NUMERICAL integration, *MECHANICAL efficiency, *GAUSSIAN quadrature formulas, *STRUCTURAL components, *COMPUTATIONAL mechanics, *SANDWICH construction (Materials)