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20242026
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cs.LG2026

CoGameReg: Cooperative-Game-Based Collaborative Semi-Supervised Regression for Seismic Reservoir Property Prediction

Zhiyu Guo, Jiwei Jia, Lei Li

Accurate estimation of reservoir properties from seismic data remains challenging when well-log labels are sparse but three-dimensional seismic observations are abundant. We presen…

quant-ph2026

Calibrated Pressure-Observable Born and Hessian Actions for Quantum-Assisted Waveform Inversion

Guanyu Li, Jiwei Jia, Yu Wang +1

We construct a pressure-consistent operator-and-readout interface for Born, adjoint, and Gauss--Newton actions in constant-density acoustic full-waveform inversion (FWI) using Schr…

math.NA2026

ResiPhy-MDNF: A Residual-Based Physics-Aware Multilevel Discrete Neural Field Framework for PDE-Constrained Inverse Problems

Zheng Lu, Jiwei Jia, Young Ju Lee

Inverse problems governed by partial differential equations are difficult when observations are sparse and the unknown coefficient field contains both large- and small-scale struct…

math.NA2026

McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation

Jiwei Jia, Xinliang Liu, Juntao Wang +1

Solving heterogeneous Helmholtz equations at high wavenumbers remains challenging because the discretized operator is indefinite, pollution degrades phase accuracy, and scalar coar…

cond-mat.soft2026

Beyond binary scission: a generalized three-species cascade breakage model for wormlike micellar solutions

Rongxin Lu, Jiwei Jia, Young Ju Lee

Wormlike micellar fluids exhibit complex rheological behavior driven by the continuous breakage and recombination of self-assembled micellar networks. Existing two-species models p…

math.NA2026

Second-Order Area/Volume-Preserving PFEMs for Surface Diffusion via Simpson--Boole Geometric Identities

Zhiqing Pan, Jiwei Jia, Lian Zhang

We propose second-order-in-time parametric finite element methods for surface diffusion of closed curves in two dimensions and closed surfaces in three dimensions. The construction…

math.NA2026

Starter-Iterator Neural Operator: A Unified Architecture for High-Fidelity Forward and Inverse PDE Problems

Kuilin Qin, Lianfang Wang, Xu Sun +4

Operator learning is an emerging field at the intersection of machine learning and scientific computing. By learning mappings between function spaces, neural operators provide data…

physics.flu-dyn2026

Invariant Guided PINN for Fluid Flow Computation

Zheng Lu, Jiwei Jia, Bora Aniruddha +2

Physics-informed neural networks (PINNs) often become difficult to optimize for incompressible flow problems with large spatial domains, multiscale stresses, or long-time invariant…

math.NA2026

Boundary neuron method for solving partial differential equations

Ye Lin, Wentao Liu, Young Ju Lee +1

We propose a boundary neuron method with random features (BNM-RF) for solving partial differential equations. The method approximates the unknown boundary function by a shallow net…

math.NA2026

Born-Preconditioned Learning for Iterative Neural PDE Solvers

Juntao Wang, Jiwei Jia, Xinliang Liu

Simulating high-frequency waves in spatially varying media remains challenging for both classical iterative methods and neural PDE solvers. We propose Neural Preconditioned Born Se…