Articles

• Weak Solutions Constructed by Semi-Discretization are Suitable: The Case of Slip Boundary Conditions

  Luigi C. Berselli

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  33246 3620 Pages:479-491 Open-access

• An Ensemble-Based Conventional Turbulence Model for Fluid-Fluid Interaction

  Jeffrey M. Connors

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  32433 2586 Pages:492-519

• A Glimpse on Fourier Analysis: Third Stage

  Constantin Corduneanu

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  32156 2526 Pages:520-523

• Ensemble Timestepping Algorithms for Natural Convection

  Joseph Anthony Fiordilino, Sarah Khankan

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  41235 2639 Pages:524-551

• An Inverse Diffusion Coefficient Problem for a Parabolic Equation with Integral Constraint

  Dmitry Glotov, Willis E. Hames, A. J. Meir, Sedar Ngoma

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  32326 2451 Pages:552-563

• Hyperbolic PDEs Across Gasdynamics, Plasticity, and Granular Plasticity

  Peter Hoffman

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  32580 3632 Pages:564-578 Open-access

• Numerical Approximation of Viscoelastic Fluid-Structure Interaction Problems

  Hyesuk Lee, Shuhan Xu

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  32301 2537 Pages:579-593

• Regularized Reduced Order Models for a Stochastic Burgers Equation

  T. Iliescu, Honghu Liu, Xuping Xie

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  32820 2462 Pages:594-607

• A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations

  Max Gunzburger, Nan Jiang, Michael Schneier

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  32948 2495 Pages:608-627

• Using RBF-Generated Quadrature Rules to Solve Nonlocal Anomalous Diffusion

  Isaac Lyngaas, Janet Peterson

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  32327 2498 Pages:628-648

• Penalty-Projection Schemes for the Cahn-Hilliard Navier-Stokes Diffuse Interface Model of Two Phase Flow, and Their Connection to Divergence-Free Coupled Schemes

  Leo G. Rebholz, Steven M. Wise, Mengying Xiao

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  32551 2466 Pages:649-676

• Finite Element Error Analysis of a Mantle Convection Model

  Volker John, Songul Kaya, Julia Novo

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  32113 2435 Pages:677-698

• Modular Nonlinear Filter Based Time Relaxation Scheme for High Reynolds Number Flows

  Aziz Takhirov, Monika Neda, Jiajia Waters

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  32360 2424 Pages:699-714

• Existence and Ergodicity for the Two-Dimensional Stochastic Boussinesq Equation

  Yong Li, Catalin Trenchea

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  31228 2390 Pages:715-728

• Macro Stokes Elements on Quadrilaterals

  Michael Neilan, Duygu Sap

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  31830 2393 Pages:729-745