Focused Section on Efficient High-Order Time Discretization Methods for Partial Differential Equations (Guest Editors: Sebastiano Boscarino, Giuseppe Izzo, Lorenzo Pareschi, Giovanni Russo, Chi-Wang Shu)

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

0．Preface
Giuseppe IzzoSebastiano Boscarino, Giuseppe Izzo, Lorenzo Pareschi, Giovanni Russo & Chi-Wang Shu
https://link.springer.com/article/10.1007/s42967-024-00464-0

1．On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics
Hendrik Ranocha, Andrew R. Winters, Hugo Guillermo Castro, Lisandro Dalcin, Michael Schlottke-Lakemper, Gregor J. Gassner & Matteo Parsani
https://link.springer.com/article/10.1007/s42967-023-00264-y

2．Efficient Iterative Arbitrary High-Order Methods: an Adaptive Bridge Between Low and High Order
Lorenzo Micalizzi, Davide Torlo & Walter Boscheri
https://link.springer.com/article/10.1007/s42967-023-00290-w

3．Asymmetry and Condition Number of an Elliptic-Parabolic System for Biological Network Formation
Clarissa Astuto, Daniele Boffi, Jan Haskovec, Peter Markowich & Giovanni Russo
https://link.springer.com/article/10.1007/s42967-023-00297-3

4．Beyond Strang: a Practical Assessment of Some Second-Order 3-Splitting Methods
Raymond J. Spiteri, Arash Tavassoli, Siqi Wei & Andrei Smolyakov
https://link.springer.com/article/10.1007/s42967-023-00314-5

5．The High-Order Variable-Coefficient Explicit-Implicit-Null Method for Diffusion and Dispersion Equations
Meiqi Tan, Juan Cheng & Chi-Wang Shu
https://link.springer.com/article/10.1007/s42967-023-00359-6

6．Semi-implicit-Type Order-Adaptive CAT2 Schemes for Systems of Balance Laws with Relaxed Source Term
Emanuele Macca & Sebastiano Boscarino
https://link.springer.com/article/10.1007/s42967-024-00414-w

7．Characterizations and Properties of Dual Matrix Star Orders
Hongxing Wang & Pei Huang
https://link.springer.com/article/10.1007/s42967-023-00255-z

8．L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation
Zhen Wang
https://link.springer.com/article/10.1007/s42967-023-00257-x

9．Motion, Dual Quaternion Optimization and Motion Optimization
Liqun Qi
https://link.springer.com/article/10.1007/s42967-023-00262-0

10．Discovery of Governing Equations with Recursive Deep Neural Networks
Jarrod Mau & Jia Zhao
https://link.springer.com/article/10.1007/s42967-023-00270-0

11．Optimal Error Analysis of Linearized Crank-Nicolson Finite Element Scheme for the Time-Dependent Penetrative Convection Problem
Min Cao & Yuan Li
https://link.springer.com/article/10.1007/s42967-023-00269-7

12．A System of Hamilton-Jacobi Equations Characterizing Geodesic Centroidal Tessellations
Fabio Camilli & Adriano Festa
https://link.springer.com/article/10.1007/s42967-023-00276-8

13．Numerical Approach for Solving Two-Dimensional Time-Fractional Fisher Equation via HABC-N Method
Ren Liu & Lifei Wu
https://link.springer.com/article/10.1007/s42967-023-00282-w

14．The Hermite-Taylor Correction Function Method for Maxwell’s Equations
Yann-Meing Law & Daniel Appelö
https://link.springer.com/article/10.1007/s42967-023-00287-5

15．On the Order of Accuracy of Edge-Based Schemes: a Peterson-Type Counter-Example
Pavel Bakhvalov & Mikhail Surnachev
https://link.springer.com/article/10.1007/s42967-023-00292-8

16．An Order Reduction Method for the Nonlinear Caputo-Hadamard Fractional Diffusion-Wave Model
Jieying Zhang, Caixia Ou, Zhibo Wang & Seakweng Vong
https://link.springer.com/article/10.1007/s42967-023-00295-5