Focused Issue in Honor of Prof. Stanley Osher on His 80th Birthday
Guest Editors: Andrea Bertozzi · Ron Fedkiw · Frederic Gibou · Chiu-Yen Kao · Chi-Wang Shu · Richard Tsai · Wotao Yin · Hong-Kai Zhao

0. Preface
Andrea Bertozzi, Ron Fedkiw, Frederic Gibou, Chiu-Yen Kao, Chi-Wang Shu, Richard Tsai, Wotao Yin & Hong-Kai Zhao
https://link.springer.com/article/10.1007/s42967-024-00387-w

1. A Dynamical System-Based Framework for Dimension Reduction
Ryeongkyung Yoon & Braxton Osting
https://link.springer.com/article/10.1007/s42967-022-00234-w

2. Global Solutions to Nonconvex Problems by Evolution of Hamilton-Jacobi PDEs
Howard Heaton, Samy Wu Fung & Stanley Osher
https://link.springer.com/article/10.1007/s42967-022-00239-5

3. Iterative Subregion Correction Preconditioners with Adaptive Tolerance for Problems with Geometrically Localized Stiffness
Michael Franco, Per-Olof Persson & Will Pazner
https://link.springer.com/article/10.1007/s42967-023-00254-0

4. Deep Energies for Estimating Three-Dimensional Facial Pose and Expression
Jane Wu, Michael Bao, Xinwei Yao & Ronald Fedkiw
https://link.springer.com/article/10.1007/s42967-023-00256-y

5. Exponentially Convergent Multiscale Finite Element Method
Yifan Chen, Thomas Y. Hou & Yixuan Wang
https://link.springer.com/article/10.1007/s42967-023-00260-2

6. SRMD: Sparse Random Mode Decomposition
Nicholas Richardson, Hayden Schaeffer & Giang Tran
https://link.springer.com/article/10.1007/s42967-023-00273-x

7. Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-conservative Products
Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu & Harish Kumar
https://link.springer.com/article/10.1007/s42967-023-00275-9

8. An Arbitrarily High Order and Asymptotic Preserving Kinetic Scheme in Compressible Fluid Dynamic
Rémi Abgrall & Fatemeh Nassajian Mojarrad
https://link.springer.com/article/10.1007/s42967-023-00274-w

9. A Stable FE-FD Method for Anisotropic Parabolic PDEs with Moving Interfaces
Baiying Dong, Zhilin Li & Juan Ruiz-álvarez
https://link.springer.com/article/10.1007/s42967-023-00281-x

10. Batch Active Learning for Multispectral and Hyperspectral Image Segmentation Using Similarity Graphs
Bohan Chen, Kevin Miller, Andrea L. Bertozzi & Jon Schwenk
https://link.springer.com/article/10.1007/s42967-023-00284-8

11. An Improved Coupled Level Set and Continuous Moment-of-Fluid Method for Simulating Multiphase Flows with Phase Change
Zhouteng Ye, Cody Estebe, Yang Liu, Mehdi Vahab, Zeyu Huang, Mark Sussman, Alireza Moradikazerouni, Kourosh Shoele, Yongsheng Lian, Mitsuhiro Ohta & M. Yousuff Hussaini
https://link.springer.com/article/10.1007/s42967-023-00286-6

12. Piecewise Acoustic Source Imaging with Unknown Speed of Sound Using a Level-Set Method
Guanghui Huang, Jianliang Qian & Yang Yang
https://link.springer.com/article/10.1007/s42967-023-00291-9

13. Meta-Auto-Decoder: a Meta-Learning-Based Reduced Order Model for Solving Parametric Partial Differential Equations
Zhanhong Ye, Xiang Huang, Hongsheng Liu & Bin Dong
https://link.springer.com/article/10.1007/s42967-023-00293-7

14. Nearest Neighbor Sampling of Point Sets Using Rays
Liangchen Liu, Louis Ly, Colin B. Macdonald & Richard Tsai
https://link.springer.com/article/10.1007/s42967-023-00318-1

15. Convergence of Hyperbolic Neural Networks Under Riemannian Stochastic Gradient Descent
Wes Whiting, Bao Wang & Jack Xin
https://link.springer.com/article/10.1007/s42967-023-00302-9

16. A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem on Implicit Surfaces
Young Kyu Lee & Shingyu Leung
https://link.springer.com/article/10.1007/s42967-023-00303-8

17. Optimization in Machine Learning: a Distribution-Space Approach
Yongqiang Cai, Qianxiao Li & Zuowei Shen
https://link.springer.com/article/10.1007/s42967-023-00322-5

18. Adaptive State-Dependent Diffusion for Derivative-Free Optimization
Björn Engquist, Kui Ren & Yunan Yang
https://link.springer.com/article/10.1007/s42967-023-00324-3

19. Model Change Active Learning in Graph-Based Semi-supervised Learning
Kevin S. Miller & Andrea L. Bertozzi
https://link.springer.com/article/10.1007/s42967-023-00328-z

20. Anderson Acceleration of Gradient Methods with Energy for Optimization Problems
Hailiang Liu, Jia-Hao He & Xuping Tian
https://link.springer.com/article/10.1007/s42967-023-00327-0

21. On the Use of Monotonicity-Preserving Interpolatory Techniques in Multilevel Schemes for Balance Laws
Antonio Baeza, Rosa Donat & Anna Martínez-Gavara
https://link.springer.com/article/10.1007/s42967-023-00332-3

22. Convergent Data-Driven Regularizations for CT Reconstruction
Samira Kabri, Alexander Auras, Danilo Riccio, Hartmut Bauermeister, Martin Benning, Michael Moeller & Martin Burger
https://link.springer.com/article/10.1007/s42967-023-00333-2

23. An Efficient Smoothing and Thresholding Image Segmentation Framework with Weighted Anisotropic-Isotropic Total Variation
Kevin Bui, Yifei Lou, Fredrick Park & Jack Xin
https://link.springer.com/article/10.1007/s42967-023-00339-w

24. A Second-Order Image Denoising Model for Contrast Preservation
Wei Zhu
https://link.springer.com/article/10.1007/s42967-023-00344-z

25. Lax-Oleinik-Type Formulas and Efficient Algorithms for Certain High-Dimensional Optimal Control Problems
Paula Chen, Jérôme Darbon & Tingwei Meng
https://link.springer.com/article/10.1007/s42967-024-00371-4

26. A Non-parametric Gradient-Based Shape Optimization Approach for Solving Inverse Problems in Directed Self-Assembly of Block Copolymers
Daniil Bochkov & Frederic Gibou
https://link.springer.com/article/10.1007/s42967-024-00394-x

27. Optimization of Random Feature Method in the High-Precision Regime
Jingrun Chen, Weinan E & Yifei Sun
https://link.springer.com/article/10.1007/s42967-024-00389-8