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Submissions from 2024

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A High-Order Multi-Resolution Wavelet Method for Nonlinear Systems of Differential Equations, Muhammad Ahsan, Weidong Lei, Martin Bohner, and Amir Ali Khan

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A Fully Decoupled Numerical Method for Cahn–Hilliard–Navier–Stokes–Darcy Equations based on Auxiliary Variable Approaches, Yali Gao, Rui Li, Xiaoming He, and Yanping Lin

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On A Multivalued Prescribed Mean Curvature Problem And Inclusions Defined On Dual Spaces, Vy Khoi Le

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An Immersed Selective Discontinuous Galerkin Method In Particle-in-cell Simulation With Adaptive Cartesian Mesh And Polynomial Preserving Recovery, Siyu Wu, Jinwei Bai, Xiaoming He, Ren Zhao, and Yong Cao

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Time Scale Theory On Stability Of Explicit And Implicit Discrete Epidemic Models: Applications To Swine Flu Outbreak, Gülşah Yeni, Elvan Akın, and Naveen K. Vaidya

Submissions from 2023

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RANK-BASED INFERENCE FOR SURVEY SAMPLING DATA, Akim Adekpedjou and Huybrechts F. Bindele

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A Haar Wavelet Multi-Resolution Collocation Method for Singularly Perturbed Differential Equations with Integral Boundary Conditions, Muhammad Ahsan, Martin Bohner, Aizaz Ullah, Amir Ali Khan, and Sheraz Ahmad

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Fractal Newton Methods, Ali Akgül and David E. Grow

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A Logarithm On Time Scales And Its Uses, Douglas R. Anderson, Martin Bohner, and Guo Cheng Wu

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Threshold Solutions For The 3d Cubic-quintic NLS, Alex H. Ardila and Jason Murphy

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WEIGHTED DYNAMIC ESTIMATES FOR CONVEX AND SUBHARMONIC FUNCTIONS ON TIME SCALES, Hira Ashraf Baig, Martin Bohner, Naveed Ahmad, and Muhammed Shoaib Saleem

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Dynamic Equations, Control Problems On Time Scales, And Chaotic Systems, Martin Bohner

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POST-QUANTUM HERMITE-JENSEN-MERCER INEQUALITIES, Martin Bohner, Hüseyin Budak, and Hasan Kara

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Three Solutions For Discrete Anisotropic Kirchhoff-type Problems, Martin Bohner, Giuseppe Caristi, Ahmad Ghobadi, and Shapour Heidarkhani

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Uniqueness For An Inverse Quantum-Dirac Problem With Given Weyl Function, Martin Bohner and Ayça Çetinkaya

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Vallée-Poussin Theorem for Hadamard Fractional Functional Differential Equations, Martin Bohner, Alexander Domoshnitsky, Elena Litsyn, Seshadev Padhi, and Satyam Narayan Srivastava

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Vallée-Poussin Theorem For Equations With Caputo Fractional Derivative, Martin Bohner, Alexander Domoshnitsky, Seshadev Padhi, and Satyam Narayan Srivastava

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OSCILLATION of SECOND-ORDER HALF-LINEAR NEUTRAL NONCANONICAL DYNAMIC EQUATIONS, Martin Bohner, Hassan El-Morshedy, Said Grace, and Irena Jadlovská

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Inequalities For Interval-valued Riemann Diamond-alpha Integrals, Martin Bohner, Linh Nguyen, Baruch Schneider, and Tri Truong

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On H-Manifolds Stability for Impulsive Delayed SIR Epidemic Models, Martin Bohner, Gani Stamov, Ivanka Stamova, and Cvetelina Spirova

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On The Fundamental Qualitative Properties Of Integro-delay Differential Equations, Martin Bohner, Osman Tunç, and Erdal Korkmaz

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Optical Characterization of Boron Carbide Powders Synthesized with Varying B-To-C Ratios, Harlan J. Brown-Shaklee, Eric W. Neuman, William Fahrenholtz, and Gregory E. Hilmas

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THRESHOLD SOLUTIONS FOR THE INTERCRITICAL INHOMOGENEOUS NLS, Luccas Campos and Jason Murphy

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Averaging For The 2 D Dispersion-managed NLS, Luccas Campos, Jason Murphy, and Tim Van Hoose

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The Infinite Schmidt Number Limit of the Salt Fingering Convection Model and the Inertial Free Salt Convection Model, Yining Cao, Xiaoming Wang, and Jin Han Xie

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Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions, Siegfried Carl and Vy Khoi Le

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Second Order, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations, John Carter, Daozhi Han, and Nan Jiang

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Metrizable Subspaces of Representation Spaces, Włodzimierz J. Charatonik, Matt Insall, and Daria Michalik

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Metrizable Subspaces of Representation Spaces, Włodzimierz J. Charatonik, Matt Insall, and Daria Michalik

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A New Global Divergence Free and Pressure-Robust Hdg Method for Tangential Boundary Control of Stokes Equations, Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, and Yangwen Zhang

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A New Global Divergence Free and Pressure-Robust Hdg Method for Tangential Boundary Control of Stokes Equations, Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, and Yangwen Zhang

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ON the SUPERCONVERGENCE of a HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD for the CAHN-HILLIARD EQUATION, Gang Chen, Daozhi Han, John R. Singler, and Yangwen Zhang

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Discrete Matrix Hypergeometric Functions, Tom Cuchta, David E. Grow, and Nick Wintz

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Discrete Matrix Hypergeometric Functions, Tom Cuchta, David E. Grow, and Nick Wintz

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Error Analysis of a Fully Discrete Projection Method for Magnetohydrodynamic System, Qianqian Ding, Xiaoming He, Xiaonian Long, and Shipeng Mao

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Error Analysis of a Fully Discrete Projection Method for Magnetohydrodynamic System, Qianqian Ding, Xiaoming He, Xiaonian Long, and Shipeng Mao

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A New Approach to Proper Orthogonal Decomposition with Difference Quotients, Sarah Locke Eskew and John R. Singler

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Network Structures and the Properties of Na-Ca-Sr-Borophosphate Glasses, Parker T. Freudenberger, Rebekah L. Blatt, Randall E. Youngman, and Richard K. Brow

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Fully Decoupled Energy-stable Numerical Schemes For Two-phase Coupled Porous Media And Free Flow With Different Densities And Viscosities, Yali Gao, Xiaoming He, Tao Lin, and Yanping Lin

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Trilinear Immersed-Finite-Element Method For Three-Dimensional Anisotropic Interface Problems In Plasma Thrusters, Yajie Han, Guangqing Xia, Chang Lu, and Xiaoming He

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Recovery of a Cubic Nonlinearity for the Nonlinear Schrödinger Equation, Christopher C. Hogan, Jason Murphy, and David E. Grow

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Characterization of Virgin, Re-Used, and Oxygen-Reduced Copper Powders Processed by the Plasma Spheroidization Process, M. Hossein Sehhat, David Perez-Palomino, Connor Wiedemeier, Tristan Cullom, and Joseph William Newkirk

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Modeling and a Domain Decomposition Method with Finite Element Discretization for Coupled Dual-Porosity Flow and Navier–Stokes Flow, Jiangyong Hou, Dan Hu, Xuejian Li, and Xiaoming He

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THE SCATTERING MAP DETERMINES THE NONLINEARITY, Rowan Killip, Jason Murphy, and Monica Visan

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On Variational Inequalities on Exterior Domains with Multivalued Convection Terms, Vy Khoi Le

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On Variational Inequalities on Exterior Domains with Multivalued Convection Terms, Vy Khoi Le

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Variable-Dependent Partial Dimension Reduction, Lu Li, Kai Tan, Xuerong Meggie Wen, and Zhou Yu

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Variable-Dependent Partial Dimension Reduction, Lu Li, Kai Tan, Xuerong Meggie Wen, and Zhou Yu

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A Dynamic Mass Transport Method For Poisson-Nernst-Planck Equations, Hailiang Liu and Wumaier Maimaitiyiming

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Kinetic Particle Simulations Of Plasma Charging At Lunar Craters Under Severe Conditions, David Lund, Xiaoming He, and Daoru Frank Han

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Regularity of the Stokes-Darcy System, Wenqi Lyu and Xiaoming Wang

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Particle Migration in Large Cross-Section Ceramic On-Demand Extrusion Components, Austin J. Martin, Wenbin Li, Jeremy Lee Watts, Gregory E. Hilmas, Ming-Chuan Leu, and Tieshu Huang

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ASYMPTOTIC STABILITY of SOLITARY WAVES for the 1d NLS with an ATTRACTIVE DELTA POTENTIAL, Satoshi Masaki, Jason Murphy, and Jun Ichi Segata

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Threshold Scattering For The Focusing NLS With A Repulsive Potential, Changxing Miao, Jason Murphy, and Jiqiang Zheng

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Anisotropic Thermal Expansion in High-Entropy Multicomponent Alb2-Type Diboride Solid Solutions, Frédéric Monteverde, Mattia Gaboardi, Federico Saraga, Lun Feng, William Fahrenholtz, and Gregory Hilmas

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Thermal Properties of Hfn-Mow Surrogate Cermet Fuel for Nuclear Thermal Propulsion, James F. Mudd, Jeremy Lee Watts, Jhonathan Rosales, Ryan P. Wilkerson, Brian Taylor, William Fahrenholtz, Gregory Hilmas, and Joseph T. Graham

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Recovery Of A Spatially-dependent Coefficient From The NLS Scattering Map, Jason Murphy

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WELL-POSEDNESS AND BLOWUP FOR THE DISPERSION-MANAGED NONLINEAR SCHRÖDINGER EQUATION, Jason Murphy and Tim Van Hoose

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An Integer GARCH Model For A Poisson Process With Time-varying Zero-inflation, Isuru Panduka Ratnayake and V. A. Samaranayake

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Thermal and Electrical Properties of Spark Plasma Sintered (Ti,cr)b2 Ceramics, Steven M. Smith, Lun Feng, William Fahrenholtz, Gregory E. Hilmas, and Laura Silvestroni

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THE GENERALIZED LYAPUNOV FUNCTION as AO’S POTENTIAL FUNCTION: EXISTENCE in DIMENSIONS 1 and 2, Haoyu Wang, Wenqing Hu, Xiaoliang Gan, and Ping Ao

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Impulsive Boundedness for Nonautonomous Dynamic Complex Networks with Constraint Nonlinearity, Yuqing Wu, Zhenkun Huang, Martin Bohner, and Jinde Cao

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Impulsive Boundedness for Nonautonomous Dynamic Complex Networks with Constraint Nonlinearity, Yuqing Wu, Zhenkun Huang, Martin Bohner, and Jinde Cao

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REFORMULATED WEAK FORMULATION AND EFFICIENT FULLY DISCRETE FINITE ELEMENT METHOD FOR A TWO-PHASE FERROHYDRODYNAMICS SHLIOMIS MODEL, Guo Dong Zhang, Xiaoming He, and Xiaofeng Yang

Submissions from 2022

A Coupled Caputo-Hadamard Fractional Differential System with Multipoint Boundary Conditions, Samir Aibout, Saïd Abbas, Mouffak Benchohra, and Martin Bohner

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On the Hartogs Extension Theorem for Unbounded Domains in Cn, Al Boggess, Roman Dwilewicz, and Egmont Porten

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A Q-Dirac Boundary Value Problem with Eigenparameter-Dependent Boundary Conditions, Martin Bohner and F. Ayça Çetinkaya

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Delay Dynamic Equations on Isolated Time Scales and the Relevance of One-Periodic Coefficients, Martin Bohner, Tom Cuchta, and Sabrina Streipert

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Delay Dynamic Equations on Isolated Time Scales and the Relevance of One-Periodic Coefficients, Martin Bohner, Tom Cuchta, and Sabrina Streipert

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Nonoscillatory Solutions of Higher-Order Fractional Differential Equations, Martin Bohner, Said R. Grace, Irena Jadlovská, and Nurten Kılıç

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Nonoscillatory Solutions of Higher-Order Fractional Differential Equations, Martin Bohner, Said R. Grace, Irena Jadlovská, and Nurten Kılıç

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Asymptotic Properties of Kneser Solutions to Third-Order Delay Differential Equations, Martin Bohner, John R. Graef, and Irena Jadlovská

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Stability for Generalized Caputo Proportional Fractional Delay Integro-Differential Equations, Martin Bohner and Snezhana Hristova

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A Generalized Proportional Caputo Fractional Model of Multi-Agent Linear Dynamic Systems Via Impulsive Control Protocol, Martin Bohner, Snezhana Hristova, Agnieszka B. Malinowska, Maria Luísa Morgado, and Ricardo Almeida

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Discrete Fractional Cobweb Models, Martin Bohner and Jagan Mohan Jonnalagadda

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Discrete Fractional Cobweb Models, Martin Bohner and Jagan Mohan Jonnalagadda

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Hermite-Hadamard-Type Inequalities for Conformable Integrals, Martin Bohner, Artion Kashuri, Pshtiwan Othman Mohammed, and Juan E.Nápoles Valdés

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Hermite–Hadamard-Type Inequalities for Conformable Integrals, Martin Bohner, Artion Kashuri, Pshtiwan Othman Mohammed, and Juan E.Nápoles Valdés

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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