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Submissions from 2022

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Vector-Valued Functions on Time Scales and Random Differential Equations, Martin Bohner, Vasile Lupulescu, Donal O'Regan, and Waqas Ali Azhar

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Vector-Valued Functions on Time Scales and Random Differential Equations, Martin Bohner, Vasile Lupulescu, Donal O'Regan, and Waqas Ali Azhar

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Periodicity on Isolated Time Scales, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert

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Periodicity on Isolated Time Scales, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert

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The Beverton-Hold Model on Isolated Time Scales, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert

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The Beverton-Hold Model on Isolated Time Scales, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert

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Qualitative Results for Nonlinear Integro-Dynamic Equations Via Integral Inequalities, Martin Bohner, Pallavi S. Scindia, and Sanket Tikare

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QUALITATIVE ANALYSIS of INTEGRO-DIFFERENTIAL EQUATIONS with VARIABLE RETARDATION, Martin Bohner and Osman Tunç

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Qualitative Analysis of Integro-Differential Equations with Variable Retardation, Martin Bohner and Osman Tunç

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Oscillation of Noncanonical Second-Order Advanced Differential Equations via Canonical Transform, Martin Bohner, Kumar S. Vidhyaa, and Ethiraju Thandapani

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THE BEAVERS-JOSEPH INTERFACE BOUNDARY CONDITION is WELL APPROXIMATED by the BEAVERS-JOSEPH-SAFFMAN-JONES INTERFACE BOUNDARY CONDITION, Yining Cao and Xiaoming Wang

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Mathematical Justification of Two Reduced Models for Salt Fingering Convection, Yining Cao, Xiaoming Wang, and Jin Han Xie

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Scattering Below the Ground State for the Intercritical Non-Radial Inhomogeneous NLS, Mykael Cardoso, Luiz Gustavo Farah, Carlos M. Guzmán, and Jason Murphy

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Numerical Analysis of a Second Order Ensemble Method for Evolutionary Magnetohydrodynamics Equations at Small Magnetic Reynolds Number, John Carter and Nan Jiang

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Numerical Analysis of a Second Order Ensemble Method for Evolutionary Magnetohydrodynamics Equations at Small Magnetic Reynolds Number, John Carter and Nan Jiang

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Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations II: HHO-Inspired Methods, Gang Chen, Bernardo Cockburn, John R. Singler, and Yangwen Zhang

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Conservative Unconditionally Stable Decoupled Numerical Schemes for the Cahn–Hilliard–Navier–Stokes–Darcy–Boussinesq System, Wenbin Chen, Daozhi Han, Xiaoming Wang, and Yichao Zhang

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A Positivity Preserving, Energy Stable Finite Difference Scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes System, Wenbin Chen, Jianyu Jing, Cheng Wang, and Xiaoming Wang

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Error Estimate of a Decoupled Numerical Scheme for the Cahn-Hilliard-Stokes-Darcy System, Wenbin Chen, Shufen Wang, Yichao Zhang, Daozhi Han, Cheng Wang, and Xiaoming Wang

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Error Estimate of a Decoupled Numerical Scheme for the Cahn-Hilliard-Stokes-Darcy System, Wenbin Chen, Shufen Wang, Yichao Zhang, Daozhi Han, Cheng Wang, and Xiaoming Wang

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Divergence Criteria for Matrix Generalized Hypergeometric Series, Tom Cuchta, David E. Grow, and Nick Wintz

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Unconditionally Stable Numerical Methods for Cahn-Hilliard-Navier-Stokes-Darcy System with Different Densities and Viscosities, Yali Gao, Daozhi Han, Xiaoming He, and Ulrich Rüde

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Unconditionally Stable Numerical Methods for Cahn-Hilliard-Navier-Stokes-Darcy System with Different Densities and Viscosities, Yali Gao, Daozhi Han, Xiaoming He, and Ulrich Rüde

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Second-Order, Fully Decoupled, Linearized, and Unconditionally Stable Scalar Auxiliary Variable Schemes for Cahn–Hilliard–Darcy System, Yali Gao, Xiaoming He, and Yufeng Nie

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Analysis of IBNR Liabilities with Interevent Times Depending on Claim Counts, Daniel J. Geiger and Akim Adekpedjou

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Analysis of IBNR Liabilities with Interevent Times Depending on Claim Counts, Daniel J. Geiger and Akim Adekpedjou

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Analysis and Approximations of Dirichlet Boundary Control Of Stokes Flows in the Energy Space, Wei Gong, Mariano Mateos, John R. Singler, and Yangwen Zhang

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Maintenance Optimization in a Digital Twin for Industry 4.0, Abhijit Gosavi and Vy Khoi Le

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Modeling and a Robin-Type Decoupled Finite Element Method for Dual-Porosity-Navier-Stokes System with Application to Flows Around Multistage Fractured Horizontal Wellbore, Jiangyong Hou, Dan Hu, Xiaoming He, and Changxin Qiu

A Decoupled, Parallel, Iterative Finite Element Method for Solving the Steady Boussinesq Equations, Yuanyuan Hou, Wenjing Yan, Lioba Boveleth, and Xiaoming He

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A Decoupled and Iterative Finite Element Method for Generalized Boussinesq Equations, Yuanyuan Hou, Wenjing Yan, Maojun Li, and Xiaoming He

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A Decoupled and Iterative Finite Element Method for Generalized Boussinesq Equations, Yuanyuan Hou, Wenjing Yan, Maojun Li, and Xiaoming He

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Flexible Energy Load Identification in Intelligent Manufacturing for Demand Response using a Neural Network Integrated Particle Swarm Optimization, Md Monirul Islam, Zeyi Sun, Ruwen Qin, Wenqing Hu, Haoyi Xiong, and Kaibo Xu

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Pattern Selection in the Schnakenberg Equations: from Normal to Anomalous Diffusion, Hatim K. Khudhair, Yanzhi Zhang, and Nobuyuki Fukawa

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On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces, Vy Khoi Le

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On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces, Vy Khoi Le

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Dynamical Transition and Bifurcation of Hydromagnetic Convection in a Rotating Fluid Layer, Liang Li, Yanlong Fan, Daozhi Han, and Quan Wang

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Dynamical Transition and Bifurcation of Hydromagnetic Convection in a Rotating Fluid Layer, Liang Li, Yanlong Fan, Daozhi Han, and Quan Wang

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Fabrications and Applications of Micro/nanofluidics in Oil and Gas Recovery: A Comprehensive Review, Junchen Liu, Yandong Zhang, Mingzhen Wei, Xiaoming He, and Baojun Bai

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New Optimized Robin−robin Domain Decomposition Methods using Krylov Solvers for the Stokes−darcy System, Yingzhi Liu, Yassine Boubendir, Xiaoming He, and Yinnian He

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Weak Scaling of the Parallel Immersed-Finite-Element Particle-In-Cell (PIFE-PIC) Framework with Lunar Plasma Charging Simulations, David Lund, Xiaoming He, Xu Zhang, and Daoru Frank Han

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Predicting Convection Configurations in Coupled Fluid-Porous Systems, Matthew McCurdy, Nicholas J. Moore, and Xiaoming Wang

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A Simple Proof of Scattering for the Intercritical Inhomogeneous NLS, Jason Murphy

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Modified Scattering for a Dispersion-Managed Nonlinear Schrödinger Equation, Jason Murphy and Tim Van Hoose

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Combining Cardiac Monitoring with Actigraphy Aids Nocturnal Arousal Detection during Ambulatory Sleep Assessment in Insomnia, Lara Rösler, Glenn Van Der Lande, Jeanne Leerssen, Austin G. Vandegriffe, Oti Lakbila-Kamal, Jessica C. Foster-Dingley, Anne C.W. Albers, and Eus J.W. Van Someren

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Derivation and Analysis of a Discrete Predator-Prey Model, Sabrina H. Streipert, Gail S.K. Wolkowicz, and Martin Bohner

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Derivation and Analysis of a Discrete Predator–Prey Model, Sabrina H. Streipert, Gail S.K. Wolkowicz, and Martin Bohner

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Numerical Study of Generalized Modified Caputo Fractional Differential Equations, Imran Talib and Martin Bohner

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Fundamental Structure of General Stochastic Dynamical Systems: High-Dimension Case, Haoyu Wang, Xiaoliang Gan, Wenqing Hu, and Ping Ao

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Fundamental Structure of General Stochastic Dynamical Systems: High-Dimension Case, Haoyu Wang, Xiaoliang Gan, Wenqing Hu, and Ping Ao

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HIGHLY ACCURATE OPERATOR FACTORIZATION METHODS for the INTEGRAL FRACTIONAL LAPLACIAN and its GENERALIZATION, Yixuan Wu and Yanzhi Zhang

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Highly Accurate Operator Factorization Methods for the Integral Fractional Laplacian and its Generalization, Yixuan Wu and Yanzhi Zhang

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Joint Control of Manufacturing and Onsite Microgrid System Via Novel Neural-Network Integrated Reinforcement Learning Algorithms, Jiaojiao Yang, Zeyi Sun, Wenqing Hu, and Louis Steinmeister

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Joint Control of Manufacturing and Onsite Microgrid System via Novel Neural-Network Integrated Reinforcement Learning Algorithms, Jiaojiao Yang, Zeyi Sun, Wenqing Hu, and Louis Steinmeister

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A Fully-Discrete Decoupled Finite Element Method for the Conserved Allen-Cahn Type Phase-Field Model of Three-Phase Fluid Flow System, Xiaofeng Yang and Xiaoming He

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A Fully-Discrete Decoupled Finite Element Method for the Conserved Allen–Cahn Type Phase-Field Model of Three-Phase Fluid Flow System, Xiaofeng Yang and Xiaoming He

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Numerical Approximations of Flow Coupled Binary Phase Field Crystal System: Fully Discrete Finite Element Scheme with Second-Order Temporal Accuracy and Decoupling Structure, Xiaofeng Yang and Xiaoming He

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Numerical Approximations of Flow Coupled Binary Phase Field Crystal System: Fully Discrete Finite Element Scheme with Second-Order Temporal Accuracy and Decoupling Structure, Xiaofeng Yang and Xiaoming He

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A Stochastic Collocation Method based on Sparse Grids for a Stochastic Stokes-Darcy Model, Zhipeng Yang, Xuejian Li, Xiaoming He, and Ju Ming

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A STOCHASTIC COLLOCATION METHOD based on SPARSE GRIDS for a STOCHASTIC STOKES-DARCY MODEL, Zhipeng Yang, Xuejian Li, Xiaoming He, and Ju Ming

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A Multigrid Multilevel Monte Carlo Method for Stokes-Darcy Model with Random Hydraulic Conductivity and Beavers-Joseph Condition, Zhipeng Yang, Ju Ming, Changxin Qiu, Maojun Li, and Xiaoming He

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A Multigrid Multilevel Monte Carlo Method for Stokes–Darcy Model with Random Hydraulic Conductivity and Beavers–Joseph Condition, Zhipeng Yang, Ju Ming, Changxin Qiu, Maojun Li, and Xiaoming He

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Discrete Symplectic Systems, Boundary Triplets, and Self-Adjoint Extensions, Petr Zemánek and Stephen L. Clark

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Discrete Symplectic Systems, Boundary Triplets, and Self-Adjoint Extensions, Petr Zemánek and Stephen L. Clark

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A Fully Decoupled Linearized Finite Element Method with Second-Order Temporal Accuracy and Unconditional Energy Stability for Incompressible MHD Equations, Guo Dong Zhang, Xiaoming He, and Xiaofeng Yang

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Kinetic Particle Simulations of Plasma Charging and Dust Transport Near Uneven Lunar Surface Terrain, Jianxun Zhao, Guirong Grace Yan, Xiaoming He, and Daoru Frank Han

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Optimal Equivalence Testing in Exponential Families, Renren Zhao and Robert L. Paige

Submissions from 2021

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On Thin Continua, Hussam Abobaker and W. J. Charatonik

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Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations, Maryam A. Alghamdi, Mymonah Alharbi, Martin Bohner, and Alaa E. Hamza

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Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Linear Dynamic Equations, Maryam A. Alghamdi, Alaa Aljehani, Martin Bohner, and Alaa E. Hamza

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Oscillation of Nonlinear Third-Order Difference Equations with Mixed Neutral Terms, Jehad Alzabut, Martin Bohner, and Said R. Grace

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A Multivalued Logarithm on Time Scales, Douglas R. Anderson and Martin Bohner

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Corrigendum To: Finite-Time Distributed Control with Time Transformation (International Journal of Robust and Nonlinear Control, (2021), 31, 1, (107-130), 10.1002/Rnc.5264), Ehsan Arabi, Tansel Yucelen, and John R. Singler

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Finite-Time Distributed Control with Time Transformation, Ehsan Arabi, Tansel Yucelen, and John R. Singler

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A Kinetic Model for Blood Biomarker Levels after Mild Traumatic Brain Injury, Sima Azizi, Daniel B. Hier, Blaine Allen, Tayo Obafemi-Ajayi, Gayla R. Olbricht, Matthew S. Thimgan, and Donald C. Wunsch

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An Implicit Particle-In-Cell Model based on Anisotropic Immersed-Finite-Element Method, Jinwei Bai, Yong Cao, Xiaoming He, and Peng E

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Oscillation of Even-Order Neutral Differential Equations with Retarded and Advanced Arguments, Martin Bohner, Bose Rani, Srinivasan Selvarangam, and Ethiraju Thandapani

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First-Order Nonlinear Dynamic Initial Value Problems, Martin Bohner, Sanket Tikare, and Iguer Luis Domini dos Santos

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Qualitative Analysis of Caputo Fractional Integro-Differential Equations with Constant Delays, Martin Bohner, Osman Tunç, and Cemil Tunç

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Heterogeneity in Blood Biomarker Trajectories after Mild TBI Revealed by Unsupervised Learning, Lien A. Bui, Dacosta Yeboah, Louis Steinmeister, Sima Azizi, Daniel Hier, Donald C. Wunsch, Gayla R. Olbricht, and Tayo Obafemi-Ajayi

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A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional Pdes, John Burkardt, Yixuan Wu, and Yanzhi Zhang

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Introduction, Siegfried Carl and Vy Khoi Le

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Mathematical Preliminaries, Siegfried Carl and Vy Khoi Le

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Multi-Valued Elliptic Variational Inequalities on Convex Sets, Siegfried Carl and Vy Khoi Le

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Multi-Valued Parabolic Variational Inequalities on Convex Sets, Siegfried Carl and Vy Khoi Le

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Multi-Valued Variational Equations, Siegfried Carl and Vy Khoi Le

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Multi-Valued Variational Inequalities and Inclusions, Siegfried Carl and Vy Khoi Le

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Multi-Valued Variational Inequalities in Unbounded Domains, Siegfried Carl and Vy Khoi Le

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Multi-Valued Variational Inequalities with Convex Functionals, Siegfried Carl and Vy Khoi Le

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On Systems of Parabolic Variational Inequalities with Multivalued Terms, Siegfried Carl and Vy Khoi Le

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Mappings and Spaces Defined by the Function Epsilon, W. J. Charatonik and Daria Michalik

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Menger Curve as Inverse Limit, W. J. Charatonik and Şahika Şahan

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Conservative Unconditionally Stable Decoupled Numerical Schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq System, Wenbin Chen, Daozhi Han, Xiaoming Wang, and Yichao Zhang

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A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-HilliardModel, Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, and Steven M. Wise

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Dynamics of Plane Waves in the Fractional Nonlinear Schrödinger Equation with Long-Range Dispersion, Siwei Duo, Taras I. Lakoba, and Yanzhi Zhang

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Wave Propagation for Reaction-Diffusion Equations on Infinite Random Trees, Wai Tong Louis Fan, Wenqing Hu, and Grigory Terlov

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A Linear Second-Order in Time Unconditionally Energy Stable Finite Element Scheme for a Cahn-Hilliard Phase-Field Model for Two-Phase Incompressible Flow of Variable Densities, Guosheng Fu and Daozhi Han

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Dynamic Capability and Open-Source Strategy in the Age of Digital Transformation, Nobuyuki Fukawa, Yanzhi Zhang, and Sunil Erevelles

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Second-Order, Fully Decoupled, Linearized, and Unconditionally Stable Scalar Auxiliary Variable Schemes for Cahn-Hilliard-Darcy System, Yali Gao, Xiaoming He, and Yufeng Nie

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Bilinear State Systems on an Unbounded Time Scale, David E. Grow and Nick Wintz