On Lagrange-Projection Schemes for Shallow Water Flows over Movable Bottom with Suspended and Bedload Transport

by Alessia Del Grosso, Manuel J. Castro Díaz, Christophe Chalons & Tomás Morales de Luna, NMTMA 16 (2023), pp. 1087-1126.

A Physics-Informed Structure-Preserving Numerical Scheme for the Phase-Field Hydrodynamic Model of Ternary Fluid Flows

by Qi Hong, Yuezheng Gong & Jia Zhao, NMTMA 16 (2023), pp. 565-596.

Convergent and Orthogonality Preserving Schemes for Approximating the Kohn-Sham Orbitals

by Xiaoying Dai, Liwei Zhang & Aihui Zhou, NMTMA 16 (2023), pp. 1-25.

Approximation of the Spectral Fractional Powers of the Laplace-Beltrami Operator

by Andrea Bonito & Wenyu Lei, NMTMA 15 (2022), pp. 1193-1218.

Analysis of Anisotropic Nonlocal Diffusion Models: Well-Posedness of Fractional Problems for Anomalous Transport

by Marta D’Elia & Mamikon Gulian, NMTMA 15 (2022), pp. 851-875.

A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

by Kelong Cheng, Cheng Wang, Steven M. Wise & Yanmei Wu, NMTMA 15 (2022), pp. 279-303.

Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations

by Anthony Gruber, Max Gunzburger, Lili Ju, Yuankai Teng & Zhu Wang, NMTMA 14 (2021), pp. 839-861.

Generating Layer-Adapted Meshes Using Mesh Partial Differential Equations

by Róisín Hill & Niall Madden, NMTMA 14 (2021), pp. 559-588.

Discrete Approximation Scheme in Distributionally Robust Optimization

by Yongchao Liu, Xiaoming Yuan & Jin Zhang, NMTMA 14 (2021), pp. 285-320.

Uniformly Distributed Circular Porous Pattern Generation on Surface for 3D Printing

by Sungha Yoon, Chaeyoung Lee, Jintae Park, Darae Jeong & Junseok Kim, NMTMA 13 (2020), pp. 845-862.

Numerical Analysis of a Dynamic Contact Problem with History-Dependent Operators

by Hailing Xuan, Xiaoliang Cheng, Weimin Han & Qichang Xiao, NMTMA 13 (2020), pp. 569-594.

Convergence Analysis of a Numerical Scheme for the Porous Medium Equation by an Energetic Variational Approach

by Chenghua Duan, Chun Liu, Cheng Wang & Xingye Yue, NMTMA 13 (2020), pp. 63-80.

A Splitting Scheme for the Numerical Solution of the KWC System

by R. H. W. Hoppe & J. J. Winkle, NMTMA 12 (2019), pp. 661-680.

A New Convergent Explicit Tree-Grid Method for HJB Equations in One Space Dimension

by Igor Kossaczký, Matthias Ehrhardt & Michael Günther, NMTMA 11 (2018), pp. 1-29.

A Branching Random Walk Method for Many-Body Wigner Quantum Dynamics

by Sihong Shao & Yunfeng Xiong, NMTMA 12 (2019), pp. 21-71.

Stochastic Gradient Descent for Linear Systems with Missing Data

by Anna Ma & Deanna Needell, NMTMA 12 (2019), pp. 1-20.

Computing Residual Diffusivity by Adaptive Basis Learning via Spectral Method

by Jiancheng Lyu, Jack Xin & Yifeng Yu, NMTMA 10 (2017), pp. 351-372.

Phaseless Imaging by Reverse Time Migration: Acoustic Waves

by Zhiming Chen & Guanghui Huang, NMTMA 10 (2017), pp. 1-21.