https://www.springer.com/journal/42967

Focused Issue in Memory of Prof. Ching-Shan Chou
Guest Editors: Qing Nie · Chi-Wang Shu · Yulong Xing · Yong-Tao Zhang

PREFACE

Preface
Q.Nie · C.-W. Shu · Y.Xing · Y.-T. Zhang 1
https://link.springer.com/article/10.1007/s42967-023-00341-2

TECHNICAL NOTE

Sparse-Grid Implementation of Fixed-Point Fast Sweeping WENO Schemes for Eikonal Equations
Z.M. Miksis · Y.-T. Zhang 3
https://link.springer.com/article/10.1007/s42967-022-00209-x

ORIGINAL PAPERS

Energy Stable Nodal DG Methods for Maxwell's Equations of Mixed-Order Form in Nonlinear Optical Media
M. Lyu · V.A. Bokil · Y. Cheng·F. Li 30
https://link.springer.com/article/10.1007/s42967-022-00212-2

Bifurcation Analysis Reveals Solution Structures of Phase Field Models
X.E. Zhao · L.-Q. Chen · W. Hao · Y. Zhao 64
https://link.springer.com/article/10.1007/s42967-022-00221-1

Growth of RB Population in the Conversion Phase of Chlamydia Life Cycle
F.Y.M. Wan 90
https://link.springer.com/article/10.1007/s42967-022-00226-w

A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Two-Dimensional Incompressible Flow
H. Li · X. Zhang 113
https://link.springer.com/article/10.1007/s42967-022-00227-9

Stability Analysis of Inverse Lax-Wendroff Procedure for a High order Compact Finite Difference Schemes
T. Li · J. Lu · P. Wang 142
https://link.springer.com/article/10.1007/s42967-022-00228-8

Bound-Preserving Discontinuous Galerkin Methods with Modified Patankar Time Integrations for Chemical Reacting Flows
F. Zhu · J. Huang · Y. Yang 190
https://link.springer.com/article/10.1007/s42967-022-00231-z

REVIEW ARTICLES

Mathematical Modeling of Cell Polarity Establishment of Budding Yeast
Y. Liu · J. Xie · H.-O. Park · W.-C. Lo 218
https://link.springer.com/article/10.1007/s42967-022-00240-y

Review of Computational Approaches to Optimization Problems in Inhomogeneous Rods and Plates
W. Chen · C.-Y. Kao 236
https://link.springer.com/article/10.1007/s42967-022-00242-w

ORIGINAL PAPERS

Superconvergence of Direct Discontinuous Galerkin Methods: Eigen-structure Analysis Based on Fourier Approach
X. Liu · H. Wang · J. Yan · X. Zhong 257
https://link.springer.com/article/10.1007/s42967-022-00246-6

A Provable Positivity-Preserving Local Discontinuous Galerkin Method for the Viscous and Resistive MHD Equations
M. Jiao · Y. Jiang · M. Zhang 279
https://link.springer.com/article/10.1007/s42967-022-00246-6

Numerical Investigations on the Resonance Errors of Multiscale Discontinuous Galerkin Methods for One-Dimensional Stationary Schrödinger Equation
B. Dong · W. Wang 311
https://link.springer.com/article/10.1007/s42967-022-00248-4

High Order IMEX Stochastic Galerkin Schemes for Linear Transport Equation with Random Inputs and Diffusive Scalings
Z. Chen · L. Mu 325
https://link.springer.com/article/10.1007/s42967-023-00249-x

A Population Dynamics Approach to the Distribution of Space Debris in Low Earth Orbit
J. Jurkiewicz · P. Hinow 340
https://link.springer.com/article/10.1007/s42967-023-00253-1

Exponential Time Differencing Method for a Reaction-Diffusion System with Free Boundary
S. Liu · X. Liu 354
https://link.springer.com/article/10.1007/s42967-023-00261-1

High-Order Decoupled and Bound Preserving Local Discontinuous Galerkin Methods for a Class of Chemotaxis Models
W. Zheng · Y. Xu 372
https://link.springer.com/article/10.1007/s42967-023-00258-w

Population Dynamics in an Advective Environment
K.-Y. Lam · R. Lee · Y. Lou 399
https://link.springer.com/article/10.1007/s42967-023-00259-9

Oscillatory Dynamics of Heterogeneous Stem Cell Regeneration
X. Liang · J. Lei 431
https://link.springer.com/article/10.1007/s42967-023-00263-z

A Vertex Network Model of Arabidopsis Leaf Growth
L. Andrejek · J. Best · C.-S. Chou · A. Husbands 454
https://link.springer.com/article/10.1007/s42967-023-00265-x

Nonuniform Dependence on the Initial Data for Solutions of Conservation Laws
J.M. Holmes · B.L. Keyfitz 489
https://link.springer.com/article/10.1007/s42967-023-00267-9

Adaptive Sparse Grid Discontinuous Galerkin Method: Review and Software Implementation
J. Huang · W. Guo · Y. Cheng 501
https://link.springer.com/article/10.1007/s42967-023-00268-8

Verification and Validation of High-Resolution Inviscid and Viscous Conical Nozzle Flows
L.K. Araki · R.B.R. Borges · N.D.P. da Silva · C.-W. Shu 533
https://link.springer.com/article/10.1007/s42967-023-00271-z

A Local Macroscopic Conservative (LoMaC) Low Rank Tensor Method with the Discontinuous Galerkin Method for the Vlasov Dynamics
W. Guo · J.F. Ema · J.-M. Qiu 550
https://link.springer.com/article/10.1007/s42967-023-00277-7

Dynamics of Advantageous Mutant Spread in Spatial Death-Birth and Birth-Death Moran Models
J. Foo · E.B. Gunnarsson · K. Leder · D. Sivakoff 576
https://link.springer.com/article/10.1007/s42967-023-00278-6

Dimension by Dimension Finite Volume HWENO Method for Hyperbolic Conservation Laws
F. Zheng · J. Qiu 605
https://link.springer.com/article/10.1007/s42967-023-00279-5

Arbitrary High-Order Fully-Decoupled Numerical Schemes for Phase-Field Models of Two-Phase Incompressible Flows
R. Guo · Y. Xia 625
https://link.springer.com/article/10.1007/s42967-023-00283-9

Stability and Time-Step Constraints of Implicit-Explicit Runge-Kutta Methods for the Linearized Korteweg-de Vries Equation
J. Hunter · Z. Sun · Y. Xing 658
https://link.springer.com/article/10.1007/s42967-023-00285-7

A Blade Altering Toolbox for Automating Rotor Design Optimization
A. Wernick · J.-P. Chen 688
https://link.springer.com/article/10.1007/s42967-023-00288-4

Stability Analysis and Performance Evaluation of Additive Mixed-Precision Runge-Kutta Methods
B. Burnett · S. Gottlieb · Z.J. Grant 705
https://link.springer.com/article/10.1007/s42967-023-00315-4

Data-Driven Modeling of Partially Observed Biological Systems
W.-H. Su · C.-S. Chou · D. Xiu 739
https://link.springer.com/article/10.1007/s42967-023-00317-2