Real-time dynamics with bead-Fourier path integrals. I. Bead-Fourier CMD.

Authors: London, Nathan¹, Momeni, Mohammad R.¹ mmomenitaheri@umkc.edu

Source: Journal of Chemical Physics. 10/14/2025, Vol. 163 Issue 14, p1-11. 11p.

Subject Terms: *PATH integrals, *MOLECULAR dynamics, *QUANTUM correlations, *LOW temperatures, *FOURIER series

Numerically efficient quasi-adiabatic propagator path integral approach with two independent non-commuting baths.

Authors: Ovcharenko, R.¹ (AUTHOR) roman.ovcharenko@cup.lmu.de, Fingerhut, B. P.¹ (AUTHOR) benjamin.fingerhut@cup.lmu.de

Source: Journal of Chemical Physics. 7/7/2025, Vol. 163 Issue 1, p1-15. 15p.

Subject Terms: *PATH integrals, *DECOHERENCE (Quantum mechanics), *COMPUTER memory management, *MATHEMATICAL optimization, *APPROXIMATION theory

Monitoring breaks in fractional cointegration.

Authors: Dierkes, Maik¹ (AUTHOR), Fitter, Krischan² (AUTHOR) fitter@statistik.uni-hannover.de, Sibbertsen, Philipp² (AUTHOR)

Source: Communications in Statistics: Theory & Methods. Nov2025, p1-21. 21p. 5 Illustrations.

Subject Terms: *MOMENTUM investing, *MONTE Carlo method, FRACTIONAL integrals, CUSUM technique, SCIENTIFIC observation, ASYMPTOTIC distribution

Quadrature formulas for computing Riemann-Liouville fractional integrals.

Authors: Mamatov, Tulkin¹ (AUTHOR) mamatovtulkin7@gmail.com, Mamatov, Zayniddin² (AUTHOR) u_xonqulov@mail.ru, Gaffarov, Khusayn³ (AUTHOR), Xonkulov, Ulugbek⁴ (AUTHOR) zayniddinmamatov1970@gmail.com

Source: AIP Conference Proceedings. 2025, Vol. 3377 Issue 1, p1-6. 6p.

Subject Terms: *FRACTIONAL integrals, *INTEGRALS, *LAGRANGE problem, *ERROR functions, *LINEAR equations, *APPROXIMATION error, *MATHEMATICAL functions

Some estimates for bisingular integral and its applications.

Authors: Absalamov, Tolliboy¹ (AUTHOR) tolliboyabsalamov@gmail.com, Fayzullayeva, Buvraziya¹ (AUTHOR) fayzullayeva55@mail.ru, Mardiev, Rasul¹ (AUTHOR) mardiyev_rasul@mail.ru

Source: AIP Conference Proceedings. 2025, Vol. 3377 Issue 1, p1-7. 7p.

Subject Terms: *SINGULAR integrals, *INTEGRAL operators, *APPROXIMATION theory, *ITERATIVE methods (Mathematics), *NONLINEAR equations, *INVARIANT subspaces, *CAUCHY integrals

Zigmund type estimation for the bisingular integral.

Authors: Absalamov, Tolliboy¹ (AUTHOR) tolliboyabsalamov@gmail.com, Fayzullayeva, Buvraziya¹ (AUTHOR) fayzullayeva55@mail.ru, Khasanov, Gafurjan¹ (AUTHOR) khasanov_g75@mail.ru

Source: AIP Conference Proceedings. 2025, Vol. 3377 Issue 1, p1-7. 7p.

Subject Terms: *INTEGRAL operators, *SINGULAR integrals, *ESTIMATION theory, *CAUCHY integrals, *INTEGRABLE functions, *NONLINEAR integral equations, *SCIENTIFIC method, *FUNCTIONAL analysis

INTEGRATION UND SICHERHEIT IM FOKUS.

Authors: FAULSTROH, KARIN

Source: Digital Engineering. oct/nov2025, Issue 7, p16-19. 4p.

Subject Terms: *SECURITY management, INTEGRALS, ATTENTION

Adaptive kink filtration: Achieving asymptotic size-independence of path integral simulations utilizing the locality of interactions.

Authors: Bose, Amartya¹ (AUTHOR) amartya.bose@tifr.res.in

Source: Journal of Chemical Physics. 3/21/2025, Vol. 162 Issue 11, p1-9. 9p.

Subject Terms: *DENSITY matrices, *PATH integrals, *CONDENSED matter, *STATISTICAL correlation, *SIMULATION methods & models

Theoretical methods based on linear response theory to simulate dynamics and absorption spectra of molecular polaritons.

Authors: Li, Tianchu^1,2 (AUTHOR), Huang, Chenghong^1,2 (AUTHOR), Bai, Shuming^1,2 (AUTHOR) baishuming@iccas.ac.cn, Shi, Qiang^1,2 (AUTHOR) qshi@iccas.ac.cn

Source: Journal of Chemical Physics. 3/7/2025, Vol. 162 Issue 9, p1-13. 13p.

Subject Terms: *MOLECULAR absorption spectra, *PATH integrals, *ABSORPTION spectra, *EQUATIONS of motion, *DEGREES of freedom

State-to-state integral cross sections for the Cl + CHD3 (vCH = 0,1) → HCl + CD3 reactions.

Authors: Liu, Shu^1,2 (AUTHOR) liushu1985@dicp.ac.cn, Zhang, Dong H.^1,2 (AUTHOR) zhangdh@dicp.ac.cn

Source: Journal of Chemical Physics. 2/21/2025, Vol. 162 Issue 7, p1-7. 7p.

Subject Terms: *POTENTIAL energy surfaces, *INTEGRALS

Pair approximating the action for molecular rotations in path integral Monte Carlo.

Authors: Moeed, Muhammad Shaeer¹ (AUTHOR), Serwatka, Tobias¹ (AUTHOR), Roy, Pierre-Nicholas¹ (AUTHOR) pnroy@uwaterloo.ca

Source: Journal of Chemical Physics. 1/14/2025, Vol. 162 Issue 2, p1-11. 11p.

Subject Terms: *MOLECULAR rotation, *PATH integrals, *DENSITY matrices, *DIPOLE interactions, *RENORMALIZATION group

Path integral Monte Carlo in a discrete variable representation with Gibbs sampling: Dipolar planar rotor chain.

Authors: Zhang, Wenxue¹ (AUTHOR), Moeed, Muhammad Shaeer¹ (AUTHOR), Bright, Andrew¹ (AUTHOR), Serwatka, Tobias¹ (AUTHOR), De Oliveira, Estevao¹ (AUTHOR), Roy, Pierre-Nicholas¹ (AUTHOR) pnroy@uwaterloo.ca

Source: Journal of Chemical Physics. 1/7/2025, Vol. 162 Issue 1, p1-10. 10p.

Subject Terms: *DENSITY matrices, *PATH integrals, *MATRIX multiplications, *RENORMALIZATION group, *DEGREES of freedom, *GIBBS sampling

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

Quantumness of classical-trajectory-based methods for vibrational spectroscopy.

Authors: Zeng, Jia-Xi, Conte, Riccardo, Ceotto, Michele

Source: Journal of Chemical Physics; 11/21/2025, Vol. 163 Issue 19, p1-11, 11p

Subject Terms: FOURIER transforms, MOLECULAR dynamics, QUANTUM mechanics, MOLECULAR vibrational spectra, PATH integrals

On the electronic path integral normal modes of the Meyer–Miller–Stock–Thoss representation of nonadiabatic dynamics.

Authors: Cook, Lauren E., Hele, Timothy J. H.

Source: Journal of Chemical Physics; 11/7/2025, Vol. 163 Issue 17, p1-14, 14p

Subject Terms: BOLTZMANN factor, ENERGY transfer, STATISTICAL correlation, MODULES (Algebra), PATH integrals

Analytic Logarithm Integrals on Curved Contours With Near-Machine Precision

Authors: Blackburn, J.N., Young, J.C.

Source: IEEE Transactions on Antennas and Propagation IEEE Trans. Antennas Propagat. Antennas and Propagation, IEEE Transactions on. 73(10):7908-7917 Oct, 2025

On learning capacities of Sugeno integrals with systems of fuzzy relational equations

Authors: Baaj, Ismail

Source: 2025 IEEE International Conference on Fuzzy Systems (FUZZ) Fuzzy Systems (FUZZ), 2025 IEEE International Conference on. :1-6 Jul, 2025

Relation: 2025 IEEE International Conference on Fuzzy Systems (FUZZ)

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

Raabe's formula for gamma function via Riemann–Liouville fractional integrals and generalized Glaisher constants.

Authors: Gürel, Efe¹ (AUTHOR) efegurel54@gmail.com

Source: Integral Transforms & Special Functions. Nov2025, Vol. 36 Issue 11, p977-988. 12p.

Subject Terms: *GAMMA functions, *FRACTIONAL integrals, *INTEGRALS, *MATHEMATICAL constants, *FRACTIONAL calculus

Optimizing Profit Distribution in IPD Projects: A Fuzzy Cooperative Game Approach to Address Resource-Based Input Uncertainty.

Authors: Guo, Shuwen¹ (AUTHOR) guoshuwen@wust.edu.cn

Source: Journal of Construction Engineering & Management. Sep2025, Vol. 151 Issue 9, p1-12. 12p.

Subject Terms: *CLIENT satisfaction, *COOPERATION, FUZZY integrals, GAMES