Journal: J. Sci. Comput.

Volume 81, Issue 3

1119 -- 1123Alina Chertock, Adi Ditkowski, Anne Gelb, Sigal Gottlieb, Semyon Tsynkov. Preface to the Special Issue in Memory of Professor Saul Abarbanel
1124 -- 1135Bertil Gustafsson. Saul Abarbanel; Half a Century of Scientific Work
1136 -- 1149V. S. Ryaben'kii, V. A. Torgashov. An Iteration-Free Approach to Solving the Navier-Stokes Equations by Implicit Finite Difference Schemes in the Vorticity-Stream Function Formulation
1150 -- 1180Xiaozhou Li, Jennifer K. Ryan, Robert M. Kirby, Kees Vuik. Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Discontinuous Galerkin Solutions over Nonuniform Meshes: Superconvergence and Optimal Accuracy
1181 -- 1209F. Smith, Semyon Tsynkov, Eli Turkel. Compact High Order Accurate Schemes for the Three Dimensional Wave Equation
1210 -- 1239Yong Liu 0019, Tianheng Chen, Yanlai Chen, Chi-Wang Shu. Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise
1240 -- 1265Anne Gelb, X. Hou, Q. Li. 1 Minimization
1266 -- 1296Michael Sever. A Source of Uncertainty in Computed Discontinuous Flows
1297 -- 1328Xin Liu 0029, Alina Chertock, Alexander Kurganov, Karlan Wolfkill. One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems
1329 -- 1358Yinghua Wang, Bao-Shan Wang, Wai-Sun Don. Generalized Sensitivity Parameter Free Fifth Order WENO Finite Difference Scheme with Z-Type Weights
1359 -- 1385Björn Sjögreen, H. C. Yee. Entropy Stable Method for the Euler Equations Revisited: Central Differencing via Entropy Splitting and SBP
1386 -- 1408Matania Ben-Artzi, Jean-Pierre Croisille, Dalia Fishelov. A Cartesian Compact Scheme for the Navier-Stokes Equations in Streamfunction Formulation in Irregular Domains
1409 -- 1428Oren Peles, Eli Turkel. Adaptive Time Steps for Compressible Flows Based on Dual-Time Stepping and a RK/Implicit Smoother
1429 -- 1445Jiah Song, Smadar Karni. A Second Order Traffic Flow Model with Lane Changing
1446 -- 1471Leah Isherwood, Zachary J. Grant, Sigal Gottlieb. Strong Stability Preserving Integrating Factor Two-Step Runge-Kutta Methods
1472 -- 1492Isaac Harari, Uri Albocher. Complementary Solutions of Nitsche's Method
1493 -- 1508Alexander Y. Meltzer. An Accurate Approximation of Exponential Integrators for the Schrödinger Equation
1509 -- 1526Thomas Hagstrom, Jeffrey W. Banks, Benjamin Brett Buckner, Karl Juhnke. Discontinuous Galerkin Difference Methods for Symmetric Hyperbolic Systems
1527 -- 1566Chaoxu Pei, Mehdi Vahab, Mark Sussman, M. Yousuff Hussaini. A Hierarchical Space-Time Spectral Element and Moment-of-Fluid Method for Improved Capturing of Vortical Structures in Incompressible Multi-phase/Multi-material Flows
1567 -- 1576Kao-Pu Chang, Jessica M. Libertini, Steven Seay. Comparing Gradient Descent with Automatic Differentiation and Particle Swarm Optimization Techniques for Estimating Tumor Blood Flow Parameters in Contrast-Enhanced Imaging
1577 -- 1601Beichuan Deng, Zhimin Zhang, Xuan Zhao. Superconvergence Points for the Spectral Interpolation of Riesz Fractional Derivatives
1602 -- 1629Chao Wu, Yunqing Huang, Nianyu Yi, Jinyun Yuan. Superconvergent Recovery of Rectangular Edge Finite Element Approximation by Local Symmetry Projection
1630 -- 1654Nicolas Moutal, Denis Grebenkov. Diffusion Across Semi-permeable Barriers: Spectral Properties, Efficient Computation, and Applications
1655 -- 1677Haiyong Wang. Analysis of Spectral Approximations Using Eigenfunctions of Fractional Sturm-Liouville Problems
1678 -- 1711Guo-Dong Zhang, Xiaoming He, Xiaofeng Yang 0003. A Decoupled, Linear and Unconditionally Energy Stable Scheme with Finite Element Discretizations for Magneto-Hydrodynamic Equations
1712 -- 1731Yanfang Yang, Ke Shi, Shubin Fu. Multiscale Hybridizable Discontinuous Galerkin Method for Flow Simulations in Highly Heterogeneous Media
1732 -- 1766Shengping Liu, Yiqing Shen. Discontinuity-Detecting Method for a Four-Point Stencil and Its Application to Develop a Third-Order Hybrid-WENO Scheme
1767 -- 1800Cui-cui Ji, Weizhong Dai, Zhi-zhong Sun. Numerical Schemes for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Model in a Double-Layered Nanoscale Thin Film
1801 -- 1822Ying Ma, Jia Yin. Error Bounds of the Finite Difference Time Domain Methods for the Dirac Equation in the Semiclassical Regime
1823 -- 1859Meng Li, Jikun Zhao, Chengming Huang, Shaochun Chen. Nonconforming Virtual Element Method for the Time Fractional Reaction-Subdiffusion Equation with Non-smooth Data
1860 -- 1881Dong Wang 0008, Shidong Jiang, Xiao-Ping Wang. An Efficient Boundary Integral Scheme for the Threshold Dynamics Method II: Applications to Wetting Dynamics
1882 -- 1905Randolph E. Bank, Yuwen Li. Superconvergent Recovery of Raviart-Thomas Mixed Finite Elements on Triangular Grids
1906 -- 1944Tiegang Liu, Chengliang Feng, Liang Xu. Modified Ghost Fluid Method with Acceleration Correction (MGFM/AC)
1945 -- 1962Dylan Abrahamsen, Bengt Fornberg. Explicit Time Stepping of PDEs with Local Refinement in Space-Time
1963 -- 1986Vimal Ramanuj, Ramanan Sankaran. High Order Anchoring and Reinitialization of Level Set Function for Simulating Interface Motion
1987 -- 2009Pierre Sochala, Olivier P. Le Maître. Polynomial Chaos Level Points Method for One-Dimensional Uncertain Steep Problems
2010 -- 2050Samuel F. Potter, Maria K. Cameron. Ordered Line Integral Methods for Solving the Eikonal Equation
2051 -- 2079Cuiyu He, Xu Zhang. Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods
2080 -- 2114Haijin Wang, Qiang Zhang 0018, Chi-Wang Shu. Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems
2115 -- 2131Huijing Du, Yingjie Liu, Yuan Liu 0018, Zhiliang Xu. Well-Balanced Discontinuous Galerkin Method for Shallow Water Equations with Constant Subtraction Techniques on Unstructured Meshes
2132 -- 2161Antonio Marquina, Susana Serna, José M. Ibáñez. Capturing Composite Waves in Non-convex Special Relativistic Hydrodynamics
2162 -- 2187Dianming Hou, Yumin Lin, Mejdi Azaïez, Chuanju Xu. A Müntz-Collocation Spectral Method for Weakly Singular Volterra Integral Equations
2188 -- 2212Gang Chen 0025, Bernardo Cockburn, John R. Singler, Yangwen Zhang. k Method
2213 -- 2236Wenqi Yao, Tiao Lu. Discrete Kernel Preserving Model for 3D Electron-Optical Phonon Scattering Under Arbitrary Band Structures
2237 -- 2270Daniel Baffet, Marcus J. Grote, Sébastien Imperiale, Maryna Kachanovska. Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation
2271 -- 2302Hao Liu 0028, Roland Glowinski, Shingyu Leung, Jianliang Qian. A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge-Ampère Equation
2303 -- 2330Lina Wang, Lijun Yi. An h-p Version of the Discontinuous Galerkin Method for Volterra Integro-Differential Equations with Vanishing Delays
2331 -- 2355Chang-Ock Lee, Jongho Park. A Finite Element Nonoverlapping Domain Decomposition Method with Lagrange Multipliers for the Dual Total Variation Minimizations
2356 -- 2387Brittany A. Erickson, Ossian O'Reilly, Jan Nordström. Accuracy of Stable, High-order Finite Difference Methods for Hyperbolic Systems with Non-smooth Wave Speeds
2388 -- 2412Fang Feng, Weimin Han, Jianguo Huang. Virtual Element Method for an Elliptic Hemivariational Inequality with Applications to Contact Mechanics
2413 -- 2446Qifeng Zhang, Tingyue Li. Asymptotic Stability of Compact and Linear θ -Methods for Space Fractional Delay Generalized Diffusion Equation
2447 -- 2483Carlos Lozano. Entropy and Adjoint Methods
2484 -- 2502Myong-Song Ho, Ju-Hyok Ri, Sin-Bom Kim. Improved Characteristic Fast Marching Method for the Generalized Eikonal Equation in a Moving Medium
2503 -- 0Taek Soo Jang. Correction to: A Regular Integral Equation Formalism for Solving the Standard Boussinesq's Equations for Variable Water Depth

Volume 81, Issue 2

623 -- 648Gang Chen 0025, Guosheng Fu, John R. Singler, Yangwen Zhang. A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs
649 -- 670Guo-Yan Zhao, Ming-Bo Sun, Yong Mei, Liang Li, Hong-Bo Wang, Guang-xin Li, Yuan Liu, Yong-Chao Sun, Chang-Hai Liang. An Efficient Adaptive Central-Upwind WENO-CU6 Numerical Scheme with a New Sensor
671 -- 688Nattaporn Chuenjarern, Yang Yang 0014. Fourier Analysis of Local Discontinuous Galerkin Methods for Linear Parabolic Equations on Overlapping Meshes
689 -- 731Qiang Ma, Hao Wang 0051, Zhiqiang Yang, Zhihui Li, Junzhi Cui. Second-Order Asymptotic Analysis and Computations of Axially and Spherically Symmetric Piezoelectric Problems for Composite Structures
732 -- 762Vevek US, B. Zang, T. H. New. An Efficient Hybrid Method for Solving Euler Equations
763 -- 788Weiyang Ding, Michael K. Ng, Wenxing Zhang. A Peaceman-Rachford Splitting Method with Monotone Plus Skew-Symmetric Splitting for Nonlinear Saddle Point Problems
789 -- 819Hailiang Liu, Peimeng Yin. Unconditionally Energy Stable DG Schemes for the Swift-Hohenberg Equation
820 -- 844Marvin Bohm, Sven Schermeng, Andrew R. Winters, Gregor J. Gassner, Gustaaf B. Jacobs. Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods
845 -- 880Sudeep Kundu, Amiya Kumar Pani. Global Stabilization of BBM-Burgers' Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis
881 -- 897Keegan L. A. Kirk, Sander Rhebergen. Analysis of a Pressure-Robust Hybridized Discontinuous Galerkin Method for the Stationary Navier-Stokes Equations
898 -- 922Yahui Wang, Yulong Du, Kunlei Zhao, Li Yuan 0003. Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes
923 -- 940Zheng Li, Guohui Song, Yuesheng Xu. A Two-Step Fixed-Point Proximity Algorithm for a Class of Non-differentiable Optimization Models in Machine Learning
941 -- 964Meng Ding 0002, Ting-Zhu Huang, Teng-Yu Ji, Xi-Le Zhao, Jing-Hua Yang. Low-Rank Tensor Completion Using Matrix Factorization Based on Tensor Train Rank and Total Variation
965 -- 989Shuying Zhai, Dongling Wang, Zhifeng Weng, Xuan Zhao. Error Analysis and Numerical Simulations of Strang Splitting Method for Space Fractional Nonlinear Schrödinger Equation
990 -- 1018L. Beirão da Veiga, David Mora, Giuseppe Vacca. The Stokes Complex for Virtual Elements with Application to Navier-Stokes Flows
1019 -- 1049Silvia Bertoluzza, Silvia Falletta. FEM Solution of Exterior Elliptic Problems with Weakly Enforced Integral Non Reflecting Boundary Conditions
1050 -- 1071Jan Nordström, Andrea Alessandro Ruggiu. Dual Time-Stepping Using Second Derivatives
1072 -- 1087Hehu Xie, Manting Xie. Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates
1088 -- 1110Jie Shen, Chang-Tao Sheng. An Efficient Space-Time Method for Time Fractional Diffusion Equation
1111 -- 1117Markus Wahlsten, Jan Nordström. On Stochastic Investigation of Flow Problems Using the Viscous Burgers' Equation as an Example
1118 -- 0Markus Wahlsten, Jan Nordström. Correction to: On Stochastic Investigation of Flow Problems Using the Viscous Burgers' Equation as an Example

Volume 81, Issue 1

1 -- 2Tony Lelièvre, Simona Perotto, Gianluigi Rozza, Daniele A. Di Pietro, Alexandre Ern, Luca Formaggia. Preface: Special Issue on Model Reduction
3 -- 21Babak Maboudi Afkham, Jan S. Hesthaven. Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems
22 -- 47José Vicente Aguado, Domenico Borzacchiello, Kiran S. Kollepara, Francisco Chinesta, Antonio Huerta. Tensor Representation of Non-linear Models Using Cross Approximations
48 -- 75Freya Bachmann, Dennis Beermann, Jianjie Lu, Stefan Volkwein. POD-Based Mixed-Integer Optimal Control of the Heat Equation
76 -- 91Max Gunzburger, Michael Schneier, Clayton G. Webster, Guannan Zhang. An Improved Discrete Least-Squares/Reduced-Basis Method for Parameterized Elliptic PDEs
92 -- 111Kenan Kergrene, Ludovic Chamoin, Marc Laforest, Serge Prudhomme. On a Goal-Oriented Version of the Proper Generalized Decomposition Method
112 -- 135Federico Pichi, Gianluigi Rozza. Reduced Basis Approaches for Parametrized Bifurcation Problems held by Non-linear Von Kármán Equations
136 -- 153Luca Venturi, Francesco Ballarin, Gianluigi Rozza. A Weighted POD Method for Elliptic PDEs with Random Inputs
154 -- 185Kelong Cheng, Zhonghua Qiao, Cheng Wang 0015. A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability
186 -- 216Jiong Ren, Gang Wang, Mingsheng Ma. A Group of CFL-Dependent Flux-Limiters to Control the Numerical Dissipation in Multi-stage Unsteady Calculation
217 -- 251Hyuntae Cho, Heejae Han, Byungjoon Lee 0001, Youngsoo Ha, Myungjoo Kang. A Second-Order Boundary Condition Capturing Method for Solving the Elliptic Interface Problems on Irregular Domains
252 -- 270Guojian Yin. A Contour-Integral Based Method with Schur-Rayleigh-Ritz Procedure for Generalized Eigenvalue Problems
271 -- 290Pranjal, David J. Silvester. Balanced Iterative Solvers for Linear Nonsymmetric Systems and Nonlinear Systems with PDE Origins: Efficient Black-Box Stopping Criteria
291 -- 311Peipei Lu, Xuejun Xu. A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation
312 -- 341Mekki Ayadi, Hela Ayed, Leonardo Baffico, Taoufik Sassi. Stokes Problem with Slip Boundary Conditions of Friction Type: Error Analysis of a Four-Field Mixed Variational Formulation
342 -- 374Nan Wang, Jinru Chen. A Nonconforming Nitsche's Extended Finite Element Method for Stokes Interface Problems
375 -- 391Meng Chen, Leevan Ling. Kernel-Based Meshless Collocation Methods for Solving Coupled Bulk-Surface Partial Differential Equations
392 -- 435Afsaneh Moradi, Javad Farzi, Ali Abdi. Strong Stability Preserving Second Derivative General Linear Methods
436 -- 458Dongdong He, Kejia Pan, Xiaoqiang Yue. A Positivity Preserving and Free Energy Dissipative Difference Scheme for the Poisson-Nernst-Planck System
459 -- 485Jesse Chan. Skew-Symmetric Entropy Stable Modal Discontinuous Galerkin Formulations
486 -- 512Victor Bayona. Comparison of Moving Least Squares and RBF+poly for Interpolation and Derivative Approximation
513 -- 536Khalide Jbilou, Yassine Kaouane. A Tangential Block Lanczos Method for Model Reduction of Large-Scale First and Second Order Dynamical Systems
537 -- 568Daxin Nie, Jing Sun, Weihua Deng. Numerical Algorithms of the Two-dimensional Feynman-Kac Equation for Reaction and Diffusion Processes
569 -- 593Siwei Duo, Yanzhi Zhang. Numerical Approximations for the Tempered Fractional Laplacian: Error Analysis and Applications
594 -- 622Wasilij Barsukow, Jonathan Hohm, Christian Klingenberg, Philip L. Roe. The Active Flux Scheme on Cartesian Grids and Its Low Mach Number Limit