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ORCIDJournal of Scientific Computing, Volume 81
Volume 81, Number 1, October 2019
- Tony Lelièvre
, Simona Perotto, Gianluigi Rozza, Daniele A. Di Pietro, Alexandre Ern, Luca Formaggia:
Preface: Special Issue on Model Reduction. 1-2 - Babak Maboudi Afkham, Jan S. Hesthaven:
Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems. 3-21 - José Vicente Aguado, Domenico Borzacchiello, Kiran S. Kollepara, Francisco Chinesta, Antonio Huerta:
Tensor Representation of Non-linear Models Using Cross Approximations. 22-47 - Freya Bachmann, Dennis Beermann, Jianjie Lu, Stefan Volkwein:
POD-Based Mixed-Integer Optimal Control of the Heat Equation. 48-75 - Max D. Gunzburger, Michael Schneier, Clayton G. Webster, Guannan Zhang:
An Improved Discrete Least-Squares/Reduced-Basis Method for Parameterized Elliptic PDEs. 76-91 - Kenan Kergrene, Ludovic Chamoin, Marc Laforest, Serge Prudhomme:
On a Goal-Oriented Version of the Proper Generalized Decomposition Method. 92-111 - Federico Pichi, Gianluigi Rozza:
Reduced Basis Approaches for Parametrized Bifurcation Problems held by Non-linear Von Kármán Equations. 112-135 - Luca Venturi, Francesco Ballarin, Gianluigi Rozza:
A Weighted POD Method for Elliptic PDEs with Random Inputs. 136-153 - Kelong Cheng, Zhonghua Qiao, Cheng Wang:
A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability. 154-185 - Jiong Ren, Gang Wang, Mingsheng Ma:
A Group of CFL-Dependent Flux-Limiters to Control the Numerical Dissipation in Multi-stage Unsteady Calculation. 186-216 - Hyuntae Cho, Heejae Han, Byungjoon Lee, Youngsoo Ha, Myungjoo Kang:
A Second-Order Boundary Condition Capturing Method for Solving the Elliptic Interface Problems on Irregular Domains. 217-251 - Guojian Yin:
A Contour-Integral Based Method with Schur-Rayleigh-Ritz Procedure for Generalized Eigenvalue Problems. 252-270 - Pranjal, David J. Silvester:
Balanced Iterative Solvers for Linear Nonsymmetric Systems and Nonlinear Systems with PDE Origins: Efficient Black-Box Stopping Criteria. 271-290 - Peipei Lu, Xuejun Xu:
A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation. 291-311 - Mekki 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. 312-341 - Nan Wang, Jinru Chen:
A Nonconforming Nitsche's Extended Finite Element Method for Stokes Interface Problems. 342-374 - Meng Chen, Leevan Ling:
Kernel-Based Meshless Collocation Methods for Solving Coupled Bulk-Surface Partial Differential Equations. 375-391 - Afsaneh Moradi, Javad Farzi, Ali Abdi:
Strong Stability Preserving Second Derivative General Linear Methods. 392-435 - Dongdong He, Kejia Pan, Xiaoqiang Yue:
A Positivity Preserving and Free Energy Dissipative Difference Scheme for the Poisson-Nernst-Planck System. 436-458 - Jesse Chan:
Skew-Symmetric Entropy Stable Modal Discontinuous Galerkin Formulations. 459-485 - Victor Bayona:
Comparison of Moving Least Squares and RBF+poly for Interpolation and Derivative Approximation. 486-512 - Khalide Jbilou, Yassine Kaouane:
A Tangential Block Lanczos Method for Model Reduction of Large-Scale First and Second Order Dynamical Systems. 513-536 - Daxin Nie, Jing Sun, Weihua Deng:
Numerical Algorithms of the Two-dimensional Feynman-Kac Equation for Reaction and Diffusion Processes. 537-568 - Siwei Duo, Yanzhi Zhang:
Numerical Approximations for the Tempered Fractional Laplacian: Error Analysis and Applications. 569-593 - Wasilij Barsukow, Jonathan Hohm, Christian Klingenberg, Philip L. Roe:
The Active Flux Scheme on Cartesian Grids and Its Low Mach Number Limit. 594-622
Volume 81, Number 2, November 2019
- Gang Chen, Guosheng Fu, John R. Singler, Yangwen Zhang:
A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs. 623-648 - Guo-Yan Zhao, Mingbo 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. 649-670 - Nattaporn Chuenjarern, Yang Yang:
Fourier Analysis of Local Discontinuous Galerkin Methods for Linear Parabolic Equations on Overlapping Meshes. 671-688 - Qiang Ma, Hao Wang, Zhiqiang Yang, Zhi-Hui Li, Junzhi Cui:
Second-Order Asymptotic Analysis and Computations of Axially and Spherically Symmetric Piezoelectric Problems for Composite Structures. 689-731 - Vevek US, Bin Zang, Tze How New:
An Efficient Hybrid Method for Solving Euler Equations. 732-762 - Weiyang Ding, Michael K. Ng, Wenxing Zhang:
A Peaceman-Rachford Splitting Method with Monotone Plus Skew-Symmetric Splitting for Nonlinear Saddle Point Problems. 763-788 - Hailiang Liu, Peimeng Yin:
Unconditionally Energy Stable DG Schemes for the Swift-Hohenberg Equation. 789-819 - Marvin 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. 820-844 - Sudeep Kundu, Amiya Kumar Pani:
Global Stabilization of BBM-Burgers' Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis. 845-880 - Keegan L. A. Kirk, Sander Rhebergen:
Analysis of a Pressure-Robust Hybridized Discontinuous Galerkin Method for the Stationary Navier-Stokes Equations. 881-897 - Yahui Wang, Yulong Du, Kunlei Zhao, Li Yuan:
Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes. 898-922 - Zheng Li, Guohui Song, Yuesheng Xu:
A Two-Step Fixed-Point Proximity Algorithm for a Class of Non-differentiable Optimization Models in Machine Learning. 923-940 - Meng Ding, Ting-Zhu Huang, Teng-Yu Ji, Xi-Le Zhao, Jinghua Yang:
Low-Rank Tensor Completion Using Matrix Factorization Based on Tensor Train Rank and Total Variation. 941-964 - Shuying Zhai, Dongling Wang, Zhifeng Weng, Xuan Zhao:
Error Analysis and Numerical Simulations of Strang Splitting Method for Space Fractional Nonlinear Schrödinger Equation. 965-989 - L. Beirão da Veiga, David Mora, Giuseppe Vacca:
The Stokes Complex for Virtual Elements with Application to Navier-Stokes Flows. 990-1018 - Silvia Bertoluzza, Silvia Falletta:
FEM Solution of Exterior Elliptic Problems with Weakly Enforced Integral Non Reflecting Boundary Conditions. 1019-1049 - Jan Nordström, Andrea Alessandro Ruggiu:
Dual Time-Stepping Using Second Derivatives. 1050-1071 - Hehu Xie, Manting Xie:
Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates. 1072-1087 - Jie Shen, Chang-Tao Sheng:
An Efficient Space-Time Method for Time Fractional Diffusion Equation. 1088-1110 - Markus Wahlsten, Jan Nordström:
On Stochastic Investigation of Flow Problems Using the Viscous Burgers' Equation as an Example. 1111-1117 - Markus Wahlsten, Jan Nordström:
Correction to: On Stochastic Investigation of Flow Problems Using the Viscous Burgers' Equation as an Example. 1118
Volume 81, Number 3, December 2019
- Alina Chertock, Adi Ditkowski, Anne Gelb, Sigal Gottlieb, Semyon Tsynkov:
Preface to the Special Issue in Memory of Professor Saul Abarbanel. 1119-1123 - Bertil Gustafsson:
Saul Abarbanel; Half a Century of Scientific Work. 1124-1135 - V. 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. 1136-1149 - Xiaozhou 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. 1150-1180 - Fouche Smith, Semyon Tsynkov, Eli Turkel:
Compact High Order Accurate Schemes for the Three Dimensional Wave Equation. 1181-1209 - Yong Liu, Tianheng Chen, Yanlai Chen, Chi-Wang Shu:
Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise. 1210-1239 - Anne Gelb, X. Hou, Qin Li:
Numerical Analysis for Conservation Laws Using l1 Minimization. 1240-1265 - Michael Sever:
A Source of Uncertainty in Computed Discontinuous Flows. 1266-1296 - Xin Liu, Alina Chertock, Alexander Kurganov, Karlan Wolfkill:
One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems. 1297-1328 - Yinghua Wang, Bao-Shan Wang, Wai Sun Don:
Generalized Sensitivity Parameter Free Fifth Order WENO Finite Difference Scheme with Z-Type Weights. 1329-1358 - Björn Sjögreen, H. C. Yee:
Entropy Stable Method for the Euler Equations Revisited: Central Differencing via Entropy Splitting and SBP. 1359-1385 - Matania Ben-Artzi, Jean-Pierre Croisille, Dalia Fishelov:
A Cartesian Compact Scheme for the Navier-Stokes Equations in Streamfunction Formulation in Irregular Domains. 1386-1408 - Oren Peles, Eli Turkel:
Adaptive Time Steps for Compressible Flows Based on Dual-Time Stepping and a RK/Implicit Smoother. 1409-1428 - Jiah Song, Smadar Karni:
A Second Order Traffic Flow Model with Lane Changing. 1429-1445 - Leah Isherwood, Zachary J. Grant, Sigal Gottlieb:
Strong Stability Preserving Integrating Factor Two-Step Runge-Kutta Methods. 1446-1471 - Isaac Harari, Uri Albocher:
Complementary Solutions of Nitsche's Method. 1472-1492 - Alexander Y. Meltzer:
An Accurate Approximation of Exponential Integrators for the Schrödinger Equation. 1493-1508 - Thomas M. Hagstrom, Jeffrey W. Banks, Benjamin Brett Buckner, Karl Juhnke:
Discontinuous Galerkin Difference Methods for Symmetric Hyperbolic Systems. 1509-1526 - Chaoxu 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. 1527-1566 - Kao-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. 1567-1576 - Beichuan Deng, Zhimin Zhang, Xuan Zhao:
Superconvergence Points for the Spectral Interpolation of Riesz Fractional Derivatives. 1577-1601 - Chao Wu, Yunqing Huang, Nianyu Yi, Jinyun Yuan:
Superconvergent Recovery of Rectangular Edge Finite Element Approximation by Local Symmetry Projection. 1602-1629 - Nicolas Moutal, Denis Grebenkov:
Diffusion Across Semi-permeable Barriers: Spectral Properties, Efficient Computation, and Applications. 1630-1654 - Haiyong Wang:
Analysis of Spectral Approximations Using Eigenfunctions of Fractional Sturm-Liouville Problems. 1655-1677 - Guo-Dong Zhang, Xiaoming He, Xiaofeng Yang:
A Decoupled, Linear and Unconditionally Energy Stable Scheme with Finite Element Discretizations for Magneto-Hydrodynamic Equations. 1678-1711 - Yanfang Yang, Ke Shi, Shubin Fu:
Multiscale Hybridizable Discontinuous Galerkin Method for Flow Simulations in Highly Heterogeneous Media. 1712-1731 - Shengping Liu, Yiqing Shen:
Discontinuity-Detecting Method for a Four-Point Stencil and Its Application to Develop a Third-Order Hybrid-WENO Scheme. 1732-1766 - Cui-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. 1767-1800 - Ying Ma, Jia Yin:
Error Bounds of the Finite Difference Time Domain Methods for the Dirac Equation in the Semiclassical Regime. 1801-1822 - Meng Li, Jikun Zhao, Chengming Huang, Shaochun Chen:
Nonconforming Virtual Element Method for the Time Fractional Reaction-Subdiffusion Equation with Non-smooth Data. 1823-1859 - Dong Wang, Shidong Jiang, Xiao-Ping Wang:
An Efficient Boundary Integral Scheme for the Threshold Dynamics Method II: Applications to Wetting Dynamics. 1860-1881 - Randolph E. Bank, Yuwen Li:
Superconvergent Recovery of Raviart-Thomas Mixed Finite Elements on Triangular Grids. 1882-1905 - Tiegang Liu, Chengliang Feng, Liang Xu:
Modified Ghost Fluid Method with Acceleration Correction (MGFM/AC). 1906-1944 - Dylan Abrahamsen, Bengt Fornberg:
Explicit Time Stepping of PDEs with Local Refinement in Space-Time. 1945-1962 - Vimal Ramanuj, Ramanan Sankaran:
High Order Anchoring and Reinitialization of Level Set Function for Simulating Interface Motion. 1963-1986 - Pierre Sochala, Olivier P. Le Maître:
Polynomial Chaos Level Points Method for One-Dimensional Uncertain Steep Problems. 1987-2009 - Samuel F. Potter, Maria K. Cameron:
Ordered Line Integral Methods for Solving the Eikonal Equation. 2010-2050 - Cuiyu He, Xu Zhang:
Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods. 2051-2079 - Haijin Wang, Qiang Zhang, Chi-Wang Shu:
Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems. 2080-2114 - Huijing Du, Yingjie Liu, Yuan Liu, Zhiliang Xu:
Well-Balanced Discontinuous Galerkin Method for Shallow Water Equations with Constant Subtraction Techniques on Unstructured Meshes. 2115-2131 - Antonio Marquina, Susana Serna, José M. Ibáñez:
Capturing Composite Waves in Non-convex Special Relativistic Hydrodynamics. 2132-2161 - Dianming Hou, Yumin Lin, Mejdi Azaïez, Chuanju Xu:
A Müntz-Collocation Spectral Method for Weakly Singular Volterra Integral Equations. 2162-2187 - Gang Chen, Bernardo Cockburn, John R. Singler, Yangwen Zhang:
Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations I: An HDGk Method. 2188-2212 - Wenqi Yao, Tiao Lu:
Discrete Kernel Preserving Model for 3D Electron-Optical Phonon Scattering Under Arbitrary Band Structures. 2213-2236 - Daniel H. Baffet, Marcus J. Grote, Sébastien Imperiale, Maryna Kachanovska:
Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation. 2237-2270 - Hao Liu, Roland Glowinski, Shingyu Leung, Jianliang Qian:
A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge-Ampère Equation. 2271-2302 - Lina Wang, Lijun Yi:
An h-p Version of the Discontinuous Galerkin Method for Volterra Integro-Differential Equations with Vanishing Delays. 2303-2330 - Chang-Ock Lee, Jongho Park:
A Finite Element Nonoverlapping Domain Decomposition Method with Lagrange Multipliers for the Dual Total Variation Minimizations. 2331-2355 - Brittany A. Erickson, Ossian O'Reilly, Jan Nordström:
Accuracy of Stable, High-order Finite Difference Methods for Hyperbolic Systems with Non-smooth Wave Speeds. 2356-2387 - Fang Feng, Weimin Han, Jianguo Huang:
Virtual Element Method for an Elliptic Hemivariational Inequality with Applications to Contact Mechanics. 2388-2412 - Qifeng Zhang, Tingyue Li:
Asymptotic Stability of Compact and Linear θ -Methods for Space Fractional Delay Generalized Diffusion Equation. 2413-2446 - Carlos Lozano:
Entropy and Adjoint Methods. 2447-2483 - Myong-Song Ho, Ju-Hyok Ri, Sin-Bom Kim:
Improved Characteristic Fast Marching Method for the Generalized Eikonal Equation in a Moving Medium. 2484-2502 - Taek Soo Jang:
Correction to: A Regular Integral Equation Formalism for Solving the Standard Boussinesq's Equations for Variable Water Depth. 2503
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