Volume 73, Issue 2-3 | Journal of Scientific Computing

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Volume 73, Issue 2-3

December 2017

Special Issue in Honor of Professor Chi-Wang Shu

Issue Editors:

Sigal Gottlieb,
Johnny Guzman,
Fengyan Li,
Jennifer Ryan

37 articles in this issue

Special Issue in Honor of Professor Chi-Wang Shu
Sigal Gottlieb
Johnny Guzmán
Jennifer K. Ryan
Editorial 12 October 2017 Pages: 459 - 460
High Order Schemes for Hyperbolic Problems Using Globally Continuous Approximation and Avoiding Mass Matrices
R. Abgrall
OriginalPaper 18 July 2017 Pages: 461 - 494
Hodge Decomposition Methods for a Quad-Curl Problem on Planar Domains
Susanne C. Brenner
Jiguang Sun
Li-yeng Sung
OriginalPaper 20 May 2017 Pages: 495 - 513
A High Order Conservative Semi-Lagrangian Discontinuous Galerkin Method for Two-Dimensional Transport Simulations
Xiaofeng Cai
Wei Guo
Jing-Mei Qiu
OriginalPaper 18 September 2017 Pages: 514 - 542
Superconvergence of Immersed Finite Volume Methods for One-Dimensional Interface Problems
Waixiang Cao
Xu Zhang
Qingsong Zou
OriginalPaper 08 August 2017 Pages: 543 - 565
DG-IMEX Stochastic Galerkin Schemes for Linear Transport Equation with Random Inputs and Diffusive Scalings
Zheng Chen
Liu Liu
Lin Mu
OriginalPaper 03 May 2017 Pages: 566 - 592
Local Discontinuous Galerkin Methods for the Khokhlov–Zabolotskaya–Kuznetzov Equation
Ching-Shan Chou
Weizhou Sun
He Yang
OriginalPaper 03 August 2017 Pages: 593 - 616
Algorithm for Overcoming the Curse of Dimensionality For Time-Dependent Non-convex Hamilton–Jacobi Equations Arising From Optimal Control and Differential Games Problems
Yat Tin Chow
Jérôme Darbon
Wotao Yin
OriginalPaper 21 April 2017 Pages: 617 - 643
Adjoint-Based, Superconvergent Galerkin Approximations of Linear Functionals
Bernardo Cockburn
Zhu Wang
OriginalPaper 01 August 2017 Pages: 644 - 666
Implicit and Implicit–Explicit Strong Stability Preserving Runge–Kutta Methods with High Linear Order
Sidafa Conde
Sigal Gottlieb
John N. Shadid
OriginalPaper 18 September 2017 Pages: 667 - 690
Error Inhibiting Block One-step Schemes for Ordinary Differential Equations
A. Ditkowski
S. Gottlieb
OriginalPaper 28 April 2017 Pages: 691 - 711
Optimally Convergent HDG Method for Third-Order Korteweg–de Vries Type Equations
Bo Dong
OriginalPaper 26 April 2017 Pages: 712 - 735
Enhanced Robustness of the Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws with Multi-resolution Analysis and Tukey’s Boxplot Method
Zhen Gao
Xiao Wen
Wai Sun Don
OriginalPaper 25 May 2017 Pages: 736 - 752
A Hybrid Method to Solve Shallow Water Flows with Horizontal Density Gradients
Gerardo Hernandez-Duenas
OriginalPaper 14 September 2017 Pages: 753 - 782
About the Modeling of the Indentation of a Virus Shell: The Role of the Shape of the Probe
Yifeng Hou
Roger Temam
OriginalPaper 15 June 2017 Pages: 783 - 796
On a Class of Implicit–Explicit Runge–Kutta Schemes for Stiff Kinetic Equations Preserving the Navier–Stokes Limit
Jingwei Hu
Xiangxiong Zhang
OriginalPaper 17 July 2017 Pages: 797 - 818
Evaluation of Fully Implicit Runge Kutta Schemes for Unsteady Flow Calculations
Antony Jameson
OriginalPaper 29 July 2017 Pages: 819 - 852
Offline-Enhanced Reduced Basis Method Through Adaptive Construction of the Surrogate Training Set
Jiahua Jiang
Yanlai Chen
Akil Narayan
OriginalPaper 21 September 2017 Pages: 853 - 875
Spectral Element Method for Parabolic Initial Value Problem with Non-Smooth Data: Analysis and Application
Arbaz Khan
Pravir Dutt
Chandra Shekhar Upadhyay
OriginalPaper 23 May 2017 Pages: 876 - 905
An Arbitrary Lagrangian–Eulerian Local Discontinuous Galerkin Method for Hamilton–Jacobi Equations
Christian Klingenberg
Gero Schnücke
Yinhua Xia
OriginalPaper 29 May 2017 Pages: 906 - 942
Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model
Xingjie Helen Li
Chi-Wang Shu
Yang Yang
OriginalPaper 05 January 2017 Pages: 943 - 967
An Augmented Method for 4th Order PDEs with Discontinuous Coefficients
Zhilin Li
Fangfang Qin
OriginalPaper 23 June 2017 Pages: 968 - 979
Computational Complexity Study on Krylov Integration Factor WENO Method for High Spatial Dimension Convection–Diffusion Problems
Dong Lu
Yong-Tao Zhang
OriginalPaper 13 March 2017 Pages: 980 - 1027
A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations
Yuan Liu
Yingda Cheng
Chi-Wang Shu
OriginalPaper 28 February 2017 Pages: 1028 - 1071
Hexagonal Smoothness-Increasing Accuracy-Conserving Filtering
Mahsa Mirzargar
Ashok Jallepalli
Robert M. Kirby
OriginalPaper 11 August 2017 Pages: 1072 - 1093
Is Discontinuous Reconstruction Really a Good Idea?
Philip Roe
OriginalPaper Open access 12 October 2017 Pages: 1094 - 1114
A Direct Flux Reconstruction Scheme for Advection–Diffusion Problems on Triangular Grids
J. Romero
F. D. Witherden
A. Jameson
OriginalPaper 07 June 2017 Pages: 1115 - 1144
Implicit Multiderivative Collocation Solvers for Linear Partial Differential Equations with Discontinuous Galerkin Spatial Discretizations
Jochen Schütz
David C. Seal
Alexander Jaust
OriginalPaper 22 June 2017 Pages: 1145 - 1163
Weighted Nonlocal Laplacian on Interpolation from Sparse Data
Zuoqiang Shi
Stanley Osher
Wei Zhu
OriginalPaper 09 April 2017 Pages: 1164 - 1177
Unconditional Energy Stability Analysis of a Second Order Implicit–Explicit Local Discontinuous Galerkin Method for the Cahn–Hilliard Equation
Huailing Song
Chi-Wang Shu
OriginalPaper 14 July 2017 Pages: 1178 - 1203
A High-Resolution Finite Volume Seismic Model to Generate Seafloor Deformation for Tsunami Modeling
Christopher J. Vogl
Randall J. LeVeque
OriginalPaper 26 May 2017 Pages: 1204 - 1215
Discontinuous Galerkin Methods for Relativistic Vlasov–Maxwell System
He Yang
Fengyan Li
OriginalPaper 18 December 2016 Pages: 1216 - 1248
Conservative Local Discontinuous Galerkin Method for Compressible Miscible Displacements in Porous Media
Fan Yu
Hui Guo
Yang Yang
OriginalPaper 09 October 2017 Pages: 1249 - 1275
Fourier Type Super Convergence Study on DDGIC and Symmetric DDG Methods
Mengping Zhang
Jue Yan
OriginalPaper 25 April 2017 Pages: 1276 - 1289
Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations
Lingling Zhou
Yan Xu
Waixiang Cao
OriginalPaper 27 January 2017 Pages: 1290 - 1315
An h-Adaptive RKDG Method for the Two-Dimensional Incompressible Euler Equations and the Guiding Center Vlasov Model
Hongqiang Zhu
Jianxian Qiu
Jing-Mei Qiu
OriginalPaper 06 May 2017 Pages: 1316 - 1337
A New Type of Finite Volume WENO Schemes for Hyperbolic Conservation Laws
Jun Zhu
Jianxian Qiu
OriginalPaper 29 June 2017 Pages: 1338 - 1359