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• Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis

  Kalyana B. Nakshatrala

  2023-05-12

  78176 3043 Pages:1035-1068

• Stochastic Multiscale Heat Transfer Analysis of Heterogeneous Materials with Multiple Random Configurations

  Zihao Yang, Xiaofei Guan, Junzhi Cui, Hao Dong, Ye Wu, Jieqiong Zhang

  2019-12-07

  45006 3132 Pages:431-459

• A Mathematical Analysis of Scale Similarity

  Z. J. Wang & Yanan Li

  2018-04-08

  42299 4778 Pages:149-161

• Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis

  K. B. Nakshatrala, K. Adhikari

  2024-03-13

  108567 2923 Pages:427-466

• One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes

  Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller

  2021-01-13

  47441 3360 Pages:649-697

• Non-Iterative Parallel Schwarz Domain Decomposition Algorithms for a Two-Domain Parabolic Problem

  Minjie Shen, Danping Yang, Haibiao Zheng

  2025-09-18

  4090 258 Pages:1552-1584

• A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

  Xiaohan Zhu, Yuezheng Gong, Yushun Wang

  2025-09-05

  3420 288 Pages:1210-1236

• Parallel Algorithms and Software for Nuclear, Energy, and Environmental Applications Part II: Multiphysics Software

  Derek Gaston, Luanjing Guo, Glen Hansen, Hai Huang, Richard Johnson, Dana Knoll, Chris Newman, Hyeong Kae Park, Robert Podgorney, Michael Tonks & Richard Williamson

  2012-12-01

  40340 4125 Pages:834-865

• A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

  Yi Liu, Wenbin Chen, Yanqiu Wang

  2022-10-28

  46295 3261 Pages:1094-1128

• Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs

  Xiang Wang, Jichun Li, Zhiwei Fang

  2020-11-26

  46113 4165 Pages:211-236

• A CFD-Aided Galerkin Method for Global Linear Instability Analysis

  Shengqi Zhang, Zhenhua Xia, Shiyi Chen

  2020-11-26

  45874 4526 Pages:128-147

• Super-Closeness Between the Ritz Projection and the Finite Element Solution for Some Elliptic Problems

  Ruosi Liang, Yue Yan, Wenbin Chen, Yanqiu Wang

  2020-06-05

  47240 3111 Pages:803-826

• Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

  Weizhu Bao, Yue Feng, Wenfan Yi

  2019-08-27

  47993 3463 Pages:1307-1334

• An Application of Prony's Sum of Exponentials Method to Pharmacokinetic Data Analysis

  J. Fuite, R. E. Marsh & J. A. Tuszynski

  2007-02-01

  39223 4789 Pages:87-98

• A Numerical Methodology for Enforcing Maximum Principles and the Non-Negative Constraint for Transient Diffusion Equations

  K. B. Nakshatrala, H. Nagarajan & M. Shabouei

  2018-04-03

  40312 4613 Pages:53-93

• A Unifying Moving Mesh Method for Curves, Surfaces, and Domains Based on Mesh Equidistribution and Alignment

  Min Zhang, Weizhang Huang

  2025-11-28

  902 26 Pages:513-552

• A Novel Structure-Preserving Algorithm with Green’s Function Approach for Computing Band Structures of Photonic Quasicrystals

  Tiexiang Li, Xing-Long Lyu, Ren-Cang Li, Wen-Wei Lin

  2025-11-07

  2600 109 Pages:261-295

• MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

  Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang

  2024-10-29

  147 68 Pages:943-976

• Analytic Structure of the SCFT Energy Functional of Multicomponent Block Copolymers

  Kai Jiang, Weiquan Xu & Pingwen Zhang

  2018-04-02

  41217 3324 Pages:1360-1387

• An Understanding of the Physical Solutions and the Blow-up Phenomenon for Nonlinear Noisy Leaky Integrate and Fire Neuronal Models

  María J. Cáceres, Alejandro Ramos-Lora

  2021-07-01

  47973 3088 Pages:820-850

• A Weighted Runge-Kutta Discontinuous Galerkin Method for 3D Acoustic and Elastic Wave-Field Modeling

  Xijun He, Dinghui Yang, Xiao Ma

  2020-06-05

  49467 4458 Pages:372-400

• Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units

  Bo Li, Shanshan Tang, Haijun Yu

  2019-12-07

  51684 3375 Pages:379-411

• Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

  Dianming Hou, Mejdi Azaïez, Chuanju Xu

  2019-08-27

  53989 3634 Pages:1415-1443

• Modification and Numerical Method for the Jiles-Atherton Hysteresis Model

  Guangming Xue, Peilin Zhang, Zhongbo He, Dongwei Li, Zhaoshu Yang & Zhenglong Zhao

  2018-04-09

  42157 3164 Pages:763-781

• A Robust and Efficient Adaptive Multigrid Solver for the Optimal Control of Phase Field Formulations of Geometric Evolution Laws

  Feng Wei Yang, Chandrasekhar Venkataraman, Vanessa Styles & Anotida Madzvamuse

  2018-04-08

  41519 4517 Pages:65-92

• Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

  Yong Zhang

  2013-05-05

  40965 4110 Pages:1357-1388

• Distributional Sensitivity for Uncertainty Quantification

  Akil Narayan & Dongbin Xiu

  2011-10-01

  38884 4266 Pages:140-160