{"title":"Structure-preserving numerical method for dendritic crystal growth based on the supplementary variable method (SVM)","authors":"Yuhan Jin,Xuewei Zhang,Peikai Zheng,Maosheng Jiang","doi":"10.1016/j.cnsns.2026.110791","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110791","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"16 1","pages":"110791"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110785
Najeeb Abdulaleem,Ivan Matychyn
{"title":"Optimality conditions and penalty function method for nonsmooth optimization problems with interval-valued objective functions","authors":"Najeeb Abdulaleem,Ivan Matychyn","doi":"10.1016/j.cnsns.2026.110785","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110785","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"28 1","pages":"110785"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Data-Driven Simulation of Forced Nonlinear Dynamical Systems via Multi-Output Gaussian Processes with Intrinsic Coregionalization","authors":"Radhia Fezai,Nour Basha,Hazem Nounou,Mohamed Nounou","doi":"10.1016/j.cnsns.2026.110787","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110787","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"39 1","pages":"110787"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110735
Md Ibrahim Shikder Mahin,Md Shamsul Arefin,Md Tanvir Hasan,Mohammad Mahfuzur Rahman
{"title":"A Hybrid Machine Learning Approach for Synthetic Data Generation with Post Hoc Calibration for Clinical Tabular Datasets","authors":"Md Ibrahim Shikder Mahin,Md Shamsul Arefin,Md Tanvir Hasan,Mohammad Mahfuzur Rahman","doi":"10.1016/j.cnsns.2026.110735","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110735","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"73 1","pages":"110735"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894649","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Block Proximal Point Method for Mixed Variational Inequality Problem","authors":"Jamilu Abubakar,Sani Salisu,Kanokwan Sitthithakerngkiet","doi":"10.1016/j.cnsns.2026.110786","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110786","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"32 1","pages":"110786"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110779
H. Kunze,D. La Torre
{"title":"Inverse Optimal Control and the Bellman Equation via the Collage Theorem","authors":"H. Kunze,D. La Torre","doi":"10.1016/j.cnsns.2026.110779","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110779","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"492 1","pages":"110779"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110759
Yanqiu Li, Wenyan Tai, Heyan Huang
We construct a two-layer time-delayed reaction-diffusion model on 2-dimensional simplicial complexes with edge diffusion modulated by local triangular adjacency. Cross-layer coupling is linked to the first Betti number β1(G) via a phenomenological formula. Using spectral analysis of the weighted Hodge Laplacian, we prove system well-posedness and invariance of the nonnegative population cone, and establish conditions for strictly positive uniform equilibria. Orthogonal subspace decomposition simplifies the high-dimensional delay characteristic equation, enabling a rigorous Hopf bifurcation analysis. We derive the minimal critical delay τ0 and employ center manifold theory to characterize bifurcating periodic orbits. Numerical comparisons separate the effects of coupling strength and topological holes: stronger interlayer coupling expands the stable delay interval, while more topological holes reduce τ0 and raise oscillation frequency. Simulations with identical β1(G) but different edge-hole configurations confirm that the first Betti number dominates stability thresholds, with minor disturbances from local topological layouts.
{"title":"Dynamics of Heterogeneous Time-Delayed Reaction-Diffusion Systems on Higher-Order Networks","authors":"Yanqiu Li, Wenyan Tai, Heyan Huang","doi":"10.1016/j.cnsns.2026.110759","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110759","url":null,"abstract":"We construct a two-layer time-delayed reaction-diffusion model on 2-dimensional simplicial complexes with edge diffusion modulated by local triangular adjacency. Cross-layer coupling is linked to the first Betti number <ce:italic>β</ce:italic><ce:inf loc=\"post\">1</ce:inf>(<ce:italic>G</ce:italic>) via a phenomenological formula. Using spectral analysis of the weighted Hodge Laplacian, we prove system well-posedness and invariance of the nonnegative population cone, and establish conditions for strictly positive uniform equilibria. Orthogonal subspace decomposition simplifies the high-dimensional delay characteristic equation, enabling a rigorous Hopf bifurcation analysis. We derive the minimal critical delay <ce:italic>τ</ce:italic><ce:inf loc=\"post\">0</ce:inf> and employ center manifold theory to characterize bifurcating periodic orbits. Numerical comparisons separate the effects of coupling strength and topological holes: stronger interlayer coupling expands the stable delay interval, while more topological holes reduce <ce:italic>τ</ce:italic><ce:inf loc=\"post\">0</ce:inf> and raise oscillation frequency. Simulations with identical <ce:italic>β</ce:italic><ce:inf loc=\"post\">1</ce:inf>(<ce:italic>G</ce:italic>) but different edge-hole configurations confirm that the first Betti number dominates stability thresholds, with minor disturbances from local topological layouts.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"210 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148884150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-09-01DOI: 10.1016/j.cnsns.2026.110750
Chuchu Sun,Jialing Wang,Tingchun Wang
{"title":"Two efficient, high-order accurate, mass- and energy-preserving numerical methods for solving the Schrödinger–Helmholtz Equations","authors":"Chuchu Sun,Jialing Wang,Tingchun Wang","doi":"10.1016/j.cnsns.2026.110750","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110750","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"14 1","pages":"110750"},"PeriodicalIF":3.9,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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