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Jerry Zhijian Yang

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Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions

Journal Article

Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions

Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 239–263

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A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem

Journal Article

A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem

Journal of Computational Mathematics, Vol. 37 (2019), Iss. 4 : pp. 524–540

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On the Recovery of Source Term for Fractional Evolution PDEs by MC-fPINNs

Journal Article

On the Recovery of Source Term for Fractional Evolution PDEs by MC-fPINNs

Numerical Mathematics: Theory, Methods and Applications, Vol. 18 (2025), Iss. 2 : pp. 487–520

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Convergence Analysis of PINNs with Over-Parameterization

Journal Article

Convergence Analysis of PINNs with Over-Parameterization

Communications in Computational Physics, Vol. 37 (2025), Iss. 4 : pp. 942–974

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A Stabilized Physics Informed Neural Networks Method for Wave Equations

Journal Article

A Stabilized Physics Informed Neural Networks Method for Wave Equations

Numerical Mathematics: Theory, Methods and Applications, Vol. 17 (2024), Iss. 4 : pp. 1100–1127

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Analysis of Deep Ritz Methods for Semilinear Elliptic Equations

Journal Article

Analysis of Deep Ritz Methods for Semilinear Elliptic Equations

Numerical Mathematics: Theory, Methods and Applications, Vol. 17 (2024), Iss. 1 : pp. 181–209

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Recovering the Source Term in Elliptic Equation via Deep Learning: Method and Convergence Analysis

Journal Article

Recovering the Source Term in Elliptic Equation via Deep Learning: Method and Convergence Analysis

East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 3 : pp. 460–489

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Convergence Analysis for Over-Parameterized Deep Learning

Journal Article

Convergence Analysis for Over-Parameterized Deep Learning

Communications in Computational Physics, Vol. 36 (2024), Iss. 1 : pp. 71–103

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Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions

Journal Article

Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions

Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 239–263

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An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy

Journal Article

An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy

Communications in Computational Physics, Vol. 26 (2019), Iss. 5 : pp. 1444–1470

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The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems

Journal Article

The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems

Numerical Mathematics: Theory, Methods and Applications, Vol. 15 (2022), Iss. 2 : pp. 484–509

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Hierarchical Absorbing Interface Conditions for Wave Propagation on Non-Uniform Meshes

Journal Article

Hierarchical Absorbing Interface Conditions for Wave Propagation on Non-Uniform Meshes

Numerical Mathematics: Theory, Methods and Applications, Vol. 15 (2022), Iss. 1 : pp. 251–278

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