On the discretization error of the discrete generalized quantum master equation.

Authors: Peng, Ruojing¹, Lindoy, Lachlan P.², Lee, Joonho¹ joonholee@g.harvard.edu

Source: Journal of Chemical Physics. 10/7/2025, Vol. 163 Issue 13, p1-8. 8p.

Subject Terms: *DISCRETIZATION methods, *QUANTUM theory, *DISCRETE-time systems, *STOCHASTIC convergence, *BOSONS

Generalized inverse transformation method via representative points in statistical simulation.

Authors: Li, Yinan^1,2,3 (AUTHOR), Sun, Zhihua⁴ (AUTHOR), Fang, Kai-Tai^1,2,5 (AUTHOR) ktfang@uic.edu.cn

Source: Communications in Statistics: Simulation & Computation. 2025, Vol. 54 Issue 11, p4519-4545. 27p.

Subject Terms: *MONTE Carlo method, *GAUSSIAN distribution, *RANDOM variables, *STANDARD deviations, DISCRETIZATION methods, INVERSE functions, RESAMPLING (Statistics)

Load-balanced diffusion Monte Carlo method with lattice regularization.

Authors: Nakano, Kousuke, Sorella, Sandro, Casula, Michele

Source: Journal of Chemical Physics; 11/21/2025, Vol. 163 Issue 19, p1-16, 16p

Subject Terms: MONTE Carlo method, SCHRODINGER equation, GREEN'S functions, BINDING energy, DISCRETIZATION methods

Smoothed dissipative particle dynamics for mesoscale advection–diffusion–reaction problems.

Authors: Echeverría-Ferrero, Marina, Moreno, Nicolas, Ellero, Marco

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

Subject Terms: REACTION-diffusion equations, PARTICLE dynamics, THERMODYNAMICS, DISCRETIZATION methods, MOLECULAR dynamics

The limits of Feynman–Hibbs corrections in capturing quantum-nuclear contributions to thermophysical properties.

Authors: Jervell, Vegard G., Wilhelmsen, Øivind

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

Subject Terms: THERMOPHYSICAL properties, CRYOGENICS, QUANTUM mechanics, DISCRETIZATION methods, ENERGY levels (Quantum mechanics)

Discretization Methods for Quantum Drift-Diffusion Model: A Comparison Based on the Quasi-Fermi Scheme

Authors: Mu, Pengcong, Cui, Tao, Zeng, Lang, Feng, Xiaoyue, Luo, Kun, Li, Zhiqiang

Source: 2025 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD) Simulation of Semiconductor Processes and Devices (SISPAD), 2025 International Conference on. :1-4 Sep, 2025

Relation: 2025 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD)

Discretization Methods for Full-Order Observers in Sensorless Control of IPMSM

Authors: Bao, Qingquan, Lin, Qianru, Song, Zhihao, Cao, Liang, Yao, Wenxi

Source: 2025 Zhejiang Power Electronics Conference (ZPEC) Zhejiang Power Electronics Conference (ZPEC), 2025. :575-580 Aug, 2025

Relation: 2025 Zhejiang Power Electronics Conference (ZPEC)

On binomial discretizations of correlated skew Brownian motions: applications to option pricing.

Authors: Russo, Emilio¹ (AUTHOR) emilio.russo@unical.it, Leccadito, Arturo^1,2 (AUTHOR), Staino, Alessandro¹ (AUTHOR)

Source: European Journal of Finance. Sep2025, Vol. 31 Issue 13, p1599-1619. 21p.

Subject Terms: *OPTIONS (Finance), *DERIVATIVE securities, *STOCHASTIC processes, *FINANCIAL research, DISCRETIZATION methods, COMPUTER simulation

STRONG ERROR ESTIMATES FOR THE SPACE-TIME DISCRETIZATION OF A STOCHASTIC LINEAR QUADRATIC CONTROL PROBLEM WITH CONTROL IN THE DIFFUSION.

Authors: WANG, YANQING¹ yqwang@swu.edu.cn

Source: SIAM Journal on Control & Optimization. 2025, Vol. 63 Issue 5, p3328-3355. 28p.

Subject Terms: STOCHASTIC control theory, DISCRETIZATION methods, COMPUTER performance, H2 control, FEEDBACK control systems, ASYMPTOTIC analysis

Deep Adaptive Numerical Scheme for Nonlinear Hammerstein Integral Equations with Automatic Error Control.

Authors: Hussein, Fatimah Thabet Fatimahalkhazraji95@gmail.com

Source: Journal of Computational Analysis & Applications. 2025, Vol. 34 Issue 10, p136-148. 13p.

Subject Terms: *HAMMERSTEIN equations, *DISCRETIZATION methods, *NUMERICAL analysis

Convergence analysis of an energy-stable linearized virtual element method for the strongly damped Klein-Gordon equation.

Authors: Liu, Zhixin¹ (AUTHOR) zxliu24@163.com, Song, Minghui¹ (AUTHOR) songmh@hit.edu.cn, Zhang, Yuhang^2,3 (AUTHOR) zhangyh@hit.edu.cn

Source: Computers & Mathematics with Applications. Dec2025, Vol. 200, p49-66. 18p.

Subject Terms: *KLEIN-Gordon equation, *DISCRETIZATION methods, *ENERGY conservation, *STABILITY theory, *NONLINEAR equations, *APPROXIMATION error

Numerical schemes for the solution of the telegrapher equation.

Authors: Spiteri, Pierre¹ (AUTHOR) pierre.spiteri@enseeiht.fr, Messine, Frédéric² (AUTHOR) frederic.messine@laplace.univ-tlse.fr

Source: Numerical Algorithms. Dec2025, Vol. 100 Issue 4, p1715-1738. 24p.

Subject Terms: *DISCRETIZATION methods, *BOUNDARY value problems, *APPROXIMATION error, *WAVE equation, *COMPUTER simulation, *STABILITY theory

Proper Implicit Discretization of Arbitrary‐Order Robust Exact Differentiators—Without and With Noise Filtering.

Authors: Seeber, Richard¹ (AUTHOR) richard.seeber@tugraz.at

Source: International Journal of Robust & Nonlinear Control. Dec2025, Vol. 35 Issue 18, p7860-7880. 21p.

Subject Terms: *STABILITY criterion, *DISCRETIZATION methods, *COMPUTER simulation, *NOISE control, *STATISTICAL bias, *NOISE measurement

Pathwise uniform convergence of a full discretization for a three-dimensional stochastic Allen-Cahn equation with multiplicative noise.

Authors: Li, Binjie¹ (AUTHOR) libinjie@scu.edu.cn, Zhou, Qin² (AUTHOR) zqmath@cwnu.edu.cn

Source: Advances in Computational Mathematics. Dec2025, Vol. 51 Issue 6, p1-33. 33p.

Subject Terms: *FINITE element method, *DISCRETIZATION methods, *RANDOM noise theory, *EULER method, *REACTION-diffusion equations, *NUMERICAL analysis

Convergence analysis of a fast virtual element method for coupled Darcy flows in fractured porous media on general polygonal meshes.

Authors: Wu, Peixuan¹ (AUTHOR), Wang, Yang¹ (AUTHOR) wy2010ang@163.com

Source: Computers & Mathematics with Applications. Nov2025, Vol. 198, p1-23. 23p.

Subject Terms: *FINITE element method, *DISCRETIZATION methods, *POROUS materials, *ITERATIVE methods (Mathematics), *APPROXIMATION error, *GROUNDWATER flow

An Extension of a Lyapunov‐Function‐Based Discretization Method for Asymptotically Stable Homogeneous Systems.

Authors: Silva, Cristina¹ (AUTHOR) c.silvadcsd@outlook.com, Sanchez, Tonametl¹ (AUTHOR), Lizárraga, David A.¹ (AUTHOR), Zavala‐Río, Arturo¹ (AUTHOR)

Source: International Journal of Robust & Nonlinear Control. Nov2025, p1. 19p. 8 Illustrations.

Subject Terms: *LYAPUNOV functions, *DISCRETIZATION methods, *DISCRETE-time systems, *MATHEMATICAL analysis, *DYNAMICAL systems, *GLOBAL asymptotic stability

A Finite Block Method Framework for Nonlinear Fractional Integro‐Differential Equations.

Authors: Abbaszadeh, Mostafa¹ (AUTHOR) m.abbaszadeh@aut.ac.ir, Ghoreyshi, Amin¹ (AUTHOR) aminghoreyshi@aut.ac.ir, Dehghan, Mehdi¹ (AUTHOR)

Source: Mathematical Methods in the Applied Sciences. Nov2025, p1. 19p. 10 Illustrations.

Subject Terms: *FRACTIONAL differential equations, *DISCRETIZATION methods, *QUANTITATIVE research, *QUASILINEARIZATION, *STABILITY theory

Consistent discretization of a ratio-dependent predator–prey model with delay.

Authors: Abo-Bakr, A. M. A.¹ (AUTHOR) ali.abobakr@alexu.edu.eg

Source: Advances in Continuous & Discrete Models. 11/7/2025, Vol. 2025 Issue 1, p1-22. 22p.

Subject Terms: *DISCRETIZATION methods, *BIFURCATION diagrams, *COMPUTER simulation, *CONTINUOUS time models, *PREDATION, *BIFURCATION theory

Quasi-Optimal Convergence of a Family of Adaptive Nonconforming Finite Element Methods.

Authors: Zhao, Xuying¹ (AUTHOR)

Source: Axioms (2075-1680). Nov2025, Vol. 14 Issue 11, p836. 23p.

Subject Terms: *DISCRETIZATION methods, *COMPUTER simulation

Optimal maximum norm estimates of virtual element methods for elliptic problem in three dimensions.

Authors: He, Wenming¹ (AUTHOR) he_wenming@aliyun.com, Zhao, Ren² (AUTHOR) Ren.Zhao@xjtlu.edu.cn

Source: Computers & Mathematics with Applications. Nov2025, Vol. 197, p167-182. 16p.

Subject Terms: *ELLIPTIC equations, *DISCRETIZATION methods, *SMOOTHNESS of functions, *TETRAHEDRA, *NUMERICAL analysis