Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches
Fuente:
arXiv
Saved in:
| Main Author: | Wang, Yixuan |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Wasserstein Bounds for generative diffusion models with Gaussian tail targets
by: Wang, Xixian, et al.
Published: (2024)
by: Wang, Xixian, et al.
Published: (2024)
Numerical Schemes for Signature Kernels
by: Cass, Thomas, et al.
Published: (2025)
by: Cass, Thomas, et al.
Published: (2025)
Soliton profiles: Classical Numerical Schemes vs. Neural Network - Based Solvers
by: Haight, Chandler, et al.
Published: (2025)
by: Haight, Chandler, et al.
Published: (2025)
Mathematical Modeling of Cancer-Bacterial Therapy: Analysis and Numerical Simulation via Physics-Informed Neural Networks
by: Farkane, Ayoub, et al.
Published: (2026)
by: Farkane, Ayoub, et al.
Published: (2026)
Generalization Bounds for Physics-Informed Neural Networks for the Incompressible Navier-Stokes Equations
by: Andre-Sloan, Sebastien, et al.
Published: (2026)
by: Andre-Sloan, Sebastien, et al.
Published: (2026)
DeepRitzSplit Neural Operator for Phase-Field Models via Energy Splitting
by: Huang, Chih-Kang, et al.
Published: (2026)
by: Huang, Chih-Kang, et al.
Published: (2026)
Regularity of Second-Order Elliptic PDEs in Spectral Barron Spaces
by: Chen, Ziang, et al.
Published: (2026)
by: Chen, Ziang, et al.
Published: (2026)
Barron Space Representations for Elliptic PDEs with Homogeneous Boundary Conditions
by: Chen, Ziang, et al.
Published: (2025)
by: Chen, Ziang, et al.
Published: (2025)
Scalable Signature Kernel Computations for Long Time Series via Local Neumann Series Expansions
by: Tamayo-Rios, Matthew, et al.
Published: (2025)
by: Tamayo-Rios, Matthew, et al.
Published: (2025)
Investigating the Ability of PINNs To Solve Burgers' PDE Near Finite-Time BlowUp
by: Kumar, Dibyakanti, et al.
Published: (2023)
by: Kumar, Dibyakanti, et al.
Published: (2023)
Space-time deep neural network approximations for high-dimensional partial differential equations
by: Hornung, Fabian, et al.
Published: (2020)
by: Hornung, Fabian, et al.
Published: (2020)
A Schrödinger-Based Dispersive Regularization Approach for Numerical Simulation of One-Dimensional Shallow Water Equations
by: Fu, Guosheng, et al.
Published: (2026)
by: Fu, Guosheng, et al.
Published: (2026)
Physics-informed fine-tuning of foundation models for partial differential equations
by: Medvedev, Vlad, et al.
Published: (2026)
by: Medvedev, Vlad, et al.
Published: (2026)
Latent Space Element Method
by: Chung, Seung Whan, et al.
Published: (2026)
by: Chung, Seung Whan, et al.
Published: (2026)
SPIKE: Stable Physics-Informed Kernel Evolution Method for Solving Hyperbolic Conservation Laws
by: Su, Hua, et al.
Published: (2025)
by: Su, Hua, et al.
Published: (2025)
Size Lowerbounds for Deep Operator Networks
by: Mukherjee, Anirbit, et al.
Published: (2023)
by: Mukherjee, Anirbit, et al.
Published: (2023)
A physics-informed neural network framework for modeling obstacle-related equations
by: Bahja, Hamid El, et al.
Published: (2023)
by: Bahja, Hamid El, et al.
Published: (2023)
Dual Cone Gradient Descent for Training Physics-Informed Neural Networks
by: Hwang, Youngsik, et al.
Published: (2024)
by: Hwang, Youngsik, et al.
Published: (2024)
Numerical stabilization method by switching time-delay
by: Ammari, Kaïs, et al.
Published: (2024)
by: Ammari, Kaïs, et al.
Published: (2024)
Singularities in phase separation models: a spectral element approach for the nonlocal Cahn-Hilliard equation
by: Miniguano-Trujillo, Andrés, et al.
Published: (2026)
by: Miniguano-Trujillo, Andrés, et al.
Published: (2026)
$L^p$ Estimates for Numerical Approximation of Hamilton-Jacobi Equations
by: Basti, Alessio, et al.
Published: (2025)
by: Basti, Alessio, et al.
Published: (2025)
Numerical study of the Serre-Green-Naghdi equations in 2D
by: Gavrilyuk, S., et al.
Published: (2023)
by: Gavrilyuk, S., et al.
Published: (2023)
Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system
by: Gaudry, Théo, et al.
Published: (2026)
by: Gaudry, Théo, et al.
Published: (2026)
Numerical Treatment of Non-local Integral Operators in the Framework of Evolutionary Equations
by: Franz, Sebastian, et al.
Published: (2026)
by: Franz, Sebastian, et al.
Published: (2026)
Numerical Analysis of Space-Time Dependent Source Identification in Subdiffusion Equations
by: Cen, Siyu, et al.
Published: (2026)
by: Cen, Siyu, et al.
Published: (2026)
Numerical analysis of the high-frequency Helmholtz equation using semiclassical analysis
by: Galkowski, Jeffrey, et al.
Published: (2025)
by: Galkowski, Jeffrey, et al.
Published: (2025)
Numerical analysis of the homogeneous Landau equation: approximation, error estimates and simulation
by: Filbet, Francis, et al.
Published: (2025)
by: Filbet, Francis, et al.
Published: (2025)
Full Field Inversion of the Attenuated Wave Equation: Theory and Numerical Inversion
by: Do, Ngoc, et al.
Published: (2024)
by: Do, Ngoc, et al.
Published: (2024)
Numerical Analysis of a Coupled 3D-1D Transport Problem
by: Taylor-LaPole, Alyssa, et al.
Published: (2026)
by: Taylor-LaPole, Alyssa, et al.
Published: (2026)
Numerical Approximation and Bifurcation Results for an Elliptic Problem with Superlinear Subcritical Nonlinearity on the Boundary
by: Bandyopadhyay, Shalmali, et al.
Published: (2025)
by: Bandyopadhyay, Shalmali, et al.
Published: (2025)
The Zero Inertia Limit for the Q-Tensor Model of Liquid Crystals: Analysis and Numerics
by: Hirsch, Max, et al.
Published: (2024)
by: Hirsch, Max, et al.
Published: (2024)
Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation
by: Pham, Ha, et al.
Published: (2024)
by: Pham, Ha, et al.
Published: (2024)
The Born approximation in the three-dimensional Calderón problem II: Numerical reconstruction in the radial case
by: Barceló, Juan A., et al.
Published: (2022)
by: Barceló, Juan A., et al.
Published: (2022)
Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation
by: Kim, Woojeong
Published: (2026)
by: Kim, Woojeong
Published: (2026)
A Spline-based Physics-Informed Numerical Scheme: Accurate Smooth Solutions for Differential Equations
by: Mourad, Ayman, et al.
Published: (2026)
by: Mourad, Ayman, et al.
Published: (2026)
A Diffuse Domain Approximation with Transmission-Type Boundary Conditions I: Asymptotic Analysis and Numerics
by: Luong, Toai, et al.
Published: (2024)
by: Luong, Toai, et al.
Published: (2024)
Numerical approximation of the solution of Koiter's model for an elliptic membrane shell subjected to an obstacle via the penalty method
by: Peng, Xin, et al.
Published: (2023)
by: Peng, Xin, et al.
Published: (2023)
Regularized Stein Variational Gradient Flow
by: He, Ye, et al.
Published: (2022)
by: He, Ye, et al.
Published: (2022)
Models for information propagation on graphs
by: Dunbar, Oliver R. A., et al.
Published: (2022)
by: Dunbar, Oliver R. A., et al.
Published: (2022)
One model to solve them all: 2BSDE families via neural operators
by: Furuya, Takashi, et al.
Published: (2025)
by: Furuya, Takashi, et al.
Published: (2025)
Similar Items
-
Wasserstein Bounds for generative diffusion models with Gaussian tail targets
by: Wang, Xixian, et al.
Published: (2024) -
Numerical Schemes for Signature Kernels
by: Cass, Thomas, et al.
Published: (2025) -
Soliton profiles: Classical Numerical Schemes vs. Neural Network - Based Solvers
by: Haight, Chandler, et al.
Published: (2025) -
Mathematical Modeling of Cancer-Bacterial Therapy: Analysis and Numerical Simulation via Physics-Informed Neural Networks
by: Farkane, Ayoub, et al.
Published: (2026) -
Generalization Bounds for Physics-Informed Neural Networks for the Incompressible Navier-Stokes Equations
by: Andre-Sloan, Sebastien, et al.
Published: (2026)