Existence, uniqueness, and collocation solutions using the shifted Legendre spectral method for the Hilfer fractional stochastic integro-differential equations regarding stochastic... by Haneen Badawi, Omar Abu Arqub, Nabil Shawagfeh

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Reliability-Based Optimization of Impeller Structure Using Exponential Function Approximation by Haiwei Lin, Yiqun Ren, Hong Bao, Feng Zhang, Feifei Zhao, Xiya Bao

“…The results indicate that the proposed method can provide significantly improved computational efficiency while maintaining optimization accuracy comparable to that obtained by traditional double-loop optimization methods. …”
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Reliability Analysis of High-Pressure Tunnel System Under Multiple Failure Modes Based on Improved Sparrow Search Algorithm–Kriging–Monte Carlo Simulation Method by Yingdong Wang, Chen Xing, Leihua Yao

“…It is often difficult for a structural safety design method based on deterministic analysis to fully and reasonably reflect the randomness of mechanical parameters, while the traditional reliability analysis method has a large calculation cost and low accuracy. …”
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Improving heat exchanger fouling detection for phosphoric acid concentration units: A hybrid inverse approach integrating genetic algorithms and the Levenberg-Marquardt technique by Ridha Zitouni, Ali Fguiri, Amine Aymen Assadi, Mohammod Hafizur Rahman, Abdetif Amrane, Juan Pedro Solano, Mohamed-Razak Jeday

“…The GA method converges to the global minimum more slowly compared to the deterministic method. …”
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Random uncertain motor parameters identification combining fourth-order moment and trust region by Wengui Mao, Congcong Liao, Jie Guo, Xuemei Wu, Jianhua Li

“…In this paper, the fourth-order moment method and trust region model management technology are combined to reduce the dependence of the surrogate model accuracy and improve the computational efficiency. …”
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Seismic Reliability Analysis of Highway Pile–Plate Structures Considering Dual Stochasticity of Parameters and Excitation via Probability Density Evolution by Liang Huang, Ge Li, Chaowei Du, Yujian Guan, Shizhan Xu, Shuaitao Li

“…Compared to the Monte Carlo method, probability density evolution shows significant advantages in computational accuracy and efficiency for large-scale systems, revealing enhanced discreteness and irregularity under combined randomness. …”
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A two-stage optimization model for relief logistics and distribution to disaster survivors under two-fold uncertainty by Palash Sahoo

“…The genetic algorithm and particle swarm optimization techniques have been proposed to find the optimal solution for the two deterministic models. The efficiency of our proposed approach is demonstrated with a real-life numerical example.…”
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Distributionally Robust Policy and Lyapunov-Certificate Learning by Kehan Long, Jorge Cortes, Nikolay Atanasov

“…This article presents novel methods for synthesizing distributionally robust stabilizing neural controllers and certificates for control systems under model uncertainty. …”
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multi-objective mathematical model for optimizing the collection and recycling of urban waste under conditions of uncertainty(The subject of study : Karaj city) by Mohsen Bijanpoor, Reza Ehtesham Rasi, Davood Gharakhany

“…Since the parameters and information required for designing the waste supply chain network are not always certain, designing the supply chain in a deterministic way decreases its practical efficiency. …”
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Comparing variable neighbourhood search algorithms for the direct aperture optimisation in radiotherapy by Mauricio Moyano, Keiny Meza-Vasquez, Gonzalo Tello-Valenzuela, Nicolle Ojeda-Ortega, Carolina Lagos, Guillermo Cabrera-Guerrero

“…The VND algorithm is a deterministic variant of VNS that systematically explores different neighbourhood structures. …”
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Identification and Valuation of Economic Activities Reserves as a Priorityin Strategic Analysis by Svetlana Evgen’evna Egorova, Natal’ya Nikolaevna Kistaeva

“…Comparative characteristics of the major methods of reserves valuation: method of direct evaluation, method of comparison, deterministic factor analysis, correlation and regression analysis, value analysis, mathematical programming are provided. …”
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MM3: Multimodal framework for regional-scale quantitative landslide risk analysis by William Pollock, Joseph Wartman

“…However, to date, no readily transferable, regional-scale method for PLRA exists. In this work, we expand an existing deterministic multimodal method for landslide risk analysis developed in the country of Lebanon into a linked framework of code-based modules that are location-agnostic and computationally efficient for regional end-to-end risk estimation. • Use of near-global, remote-sensing-based inputs enables risk estimates almost anywhere in the world • Modular computational framework facilitates upgrades of component models as new research becomes available • Probabilistic implementation through a Monte Carlo approach…”
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Maximum a posteriori estimation for high-throughput peak fitting in X-ray photoelectron spectroscopy by Tarojiro Matsumura, Naoka Nagamura, Shotaro Akaho, Kenji Nagata, Yasunobu Ando

“…The computation is performed efficiently by the spectrum-adapted expectation–conditional maximisation algorithm with deterministic annealing. …”
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A comparative approach of analyzing data uncertainty in parameter estimation for a Lumpy Skin Disease model by Edwiga Renald, Miracle Amadi, Heikki Haario, Joram Buza, Jean M. Tchuenche, Verdiana G. Masanja

“…This has driven the interest to research efficient mitigating measures towards controlling the transmission of LSD. …”
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A two-stage computational approach for stochastic Darcy-forchheimer non-newtonian flows by Muhammad Shoaib Arif, Muhammad Shoaib Arif, Kamaleldin Abodayeh, Yasir Nawaz

“…The proposed two-stage numerical method integrates a modified time integrator with a second-stage Runge-Kutta scheme, ensuring second-order accuracy in time for deterministic problems. …”
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A Proposed Stochastic Finite Difference Approach Based on Homogenous Chaos Expansion by O. H. Galal

“…Galerkin projection is used in converting the original stochastic partial differential equation (PDE) into a set of coupled deterministic partial differential equations and then solved using finite difference method. …”
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A novel explicit scheme for stochastic diffusive SIS models with treatment effects by Muhammad Shoaib Arif

“…The scheme is designed as an explicit two-stage method, where only the time-dependent terms are discretized, ensuring computational efficiency. …”
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The L-Curve Criterion as a Model Selection Tool in PLS Regression by Abdelmounaim Kerkri, Jelloul Allal, Zoubir Zarrouk

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An optimized elliptic curve digital signature strategy for resource-constrained devices by Nawras H. Sabbry, Alla Levina

“…This research addresses these challenges by proposing an optimized ECC digital signature method designed for such environments. The method incorporates two key enhancements: optimizing scalar point multiplication using the cyclic group property of elliptic curve points and the additive inverse property in group theory, and secondly, adopting a deterministic private nonce generation approach, while excluding the public nonce ( $$R$$ ) from the calculation of the challenge to improve signing efficiency. …”
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Stochastic carbon footprint tracing for power systems with uncertainty by Jiashuo Hu, Mengge Shi, Xiao‐ping Zhang, Youwei Jia

“…Recognizing that the CEF network complexity increases with higher DER penetration, the second method extends the initial approach to enhance computational efficiency while maintaining accuracy, thus ensuring scalability for large‐scale power system topologies. …”
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