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Construction and Analysis of Structure-Preserving Numerical Algorithm for Two-Dimensional Damped Nonlinear Space Fractional Schrödinger equation

Journal of scientific computing, 2024-06, Vol.99 (3), p.60, Article 60

2024

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Large-Scale Bayesian Optimal Experimental Design with Derivative-Informed Projected Neural Network

Journal of scientific computing, 2023-04, Vol.95 (1), p.30, Article 30

2023

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Simultaneous Image Enhancement and Restoration with Non-convex Total Variation

Journal of scientific computing, 2021-06, Vol.87 (3), p.83, Article 83

2021

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Numerical Analysis of Fully Discretized Crank–Nicolson Scheme for Fractional-in-Space Allen–Cahn Equations

Journal of scientific computing, 2017-09, Vol.72 (3), p.1214-1231

2017

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Structure-Preserving Algorithms with Uniform Error Bound and Long-time Energy Conservation for Highly Oscillatory Hamiltonian Systems

Journal of scientific computing, 2023-06, Vol.95 (3), p.66, Article 66

2023

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Rank-Adaptive Tensor Methods for High-Dimensional Nonlinear PDEs

Journal of scientific computing, 2021-08, Vol.88 (2), p.36, Article 36

2021

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Inverting Incomplete Fourier Transforms by a Sparse Regularization Model and Applications in Seismic Wavefield Modeling

Journal of scientific computing, 2022-08, Vol.92 (2), p.48, Article 48

2022

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Recovery Type a Posteriori Error Estimation of an Adaptive Finite Element Method for Cahn–Hilliard Equation

Journal of scientific computing, 2024-02, Vol.98 (2), p.35, Article 35

2024

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Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next

Journal of scientific computing, 2022-09, Vol.92 (3), p.88, Article 88

2022

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An Efficient Trivariate Algorithm for Tetrahedral Shepard Interpolation

Journal of scientific computing, 2020-03, Vol.82 (3), p.57, Article 57

2020

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A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn–Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method

Journal of scientific computing, 2016-12, Vol.69 (3), p.1083-1114

2016

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Adaptive Radial Basis Function Partition of Unity Interpolation: A Bivariate Algorithm for Unstructured Data

Journal of scientific computing, 2021-05, Vol.87 (2), p.41, Article 41

Cavoretto, Roberto

2021

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A Fully-Discrete Finite Element Scheme and Projection-Iteration Algorithm for a Dynamic Contact Problem with Multi-contact Zones and Unilateral Constraint

Journal of scientific computing, 2023-07, Vol.96 (1), p.3, Article 3

2023

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Residual-Based a Posteriori Error Estimates for the Time-Dependent Ginzburg–Landau Equations of Superconductivity

Journal of scientific computing, 2022-12, Vol.93 (3), p.79, Article 79

2022

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A Reduced Basis Method for Radiative Transfer Equation

Journal of scientific computing, 2022-04, Vol.91 (1), p.5, Article 5

2022

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Global Convergence of ADMM in Nonconvex Nonsmooth Optimization

Journal of scientific computing, 2019-01, Vol.78 (1), p.29-63

2019

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Linearly-Convergent FISTA Variant for Composite Optimization with Duality

Journal of scientific computing, 2023-03, Vol.94 (3), p.65, Article 65

2023

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Solving Multi-linear Systems with M-Tensors

Journal of scientific computing, 2016-08, Vol.68 (2), p.689-715

2016

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Enhancing Electrical Impedance Tomography Reconstruction Using Learned Half-Quadratic Splitting Networks with Anderson Acceleration

Journal of scientific computing, 2024-02, Vol.98 (2), p.49, Article 49

2024

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Curvature-Dependent Elastic Bending Total Variation Model for Image Inpainting with the SAV Algorithm

Journal of scientific computing, 2024-11, Vol.101 (2), p.29, Article 29

2024

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Fast Sinkhorn II: Collinear Triangular Matrix and Linear Time Accurate Computation of Optimal Transport

Journal of scientific computing, 2024, Vol.98 (1), p.1, Article 1

2024

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Spectrally Constrained Optimization

Journal of scientific computing, 2024-09, Vol.100 (3), p.89, Article 89

2024

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A Comprehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Parametrized PDEs

Journal of scientific computing, 2021-05, Vol.87 (2), p.61, Article 61

2021

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A Two-Step Fixed-Point Proximity Algorithm for a Class of Non-differentiable Optimization Models in Machine Learning

Journal of scientific computing, 2019-11, Vol.81 (2), p.923-940

2019

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Constrained High-Index Saddle Dynamics for the Solution Landscape with Equality Constraints

Journal of scientific computing, 2022-05, Vol.91 (2), p.62, Article 62

2022

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Construction and Analysis of Structure-Preserving Numerical Algorithm for Two-Dimensional Damped Nonlinear Space Fractional Schrödinger equation

Large-Scale Bayesian Optimal Experimental Design with Derivative-Informed Projected Neural Network

Simultaneous Image Enhancement and Restoration with Non-convex Total Variation

Numerical Analysis of Fully Discretized Crank–Nicolson Scheme for Fractional-in-Space Allen–Cahn Equations

Structure-Preserving Algorithms with Uniform Error Bound and Long-time Energy Conservation for Highly Oscillatory Hamiltonian Systems

Rank-Adaptive Tensor Methods for High-Dimensional Nonlinear PDEs

Inverting Incomplete Fourier Transforms by a Sparse Regularization Model and Applications in Seismic Wavefield Modeling

Recovery Type a Posteriori Error Estimation of an Adaptive Finite Element Method for Cahn–Hilliard Equation

Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next

An Efficient Trivariate Algorithm for Tetrahedral Shepard Interpolation

A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn–Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method

Adaptive Radial Basis Function Partition of Unity Interpolation: A Bivariate Algorithm for Unstructured Data

A Fully-Discrete Finite Element Scheme and Projection-Iteration Algorithm for a Dynamic Contact Problem with Multi-contact Zones and Unilateral Constraint

Residual-Based a Posteriori Error Estimates for the Time-Dependent Ginzburg–Landau Equations of Superconductivity

A Reduced Basis Method for Radiative Transfer Equation

Global Convergence of ADMM in Nonconvex Nonsmooth Optimization

Linearly-Convergent FISTA Variant for Composite Optimization with Duality

Solving Multi-linear Systems with M-Tensors

Enhancing Electrical Impedance Tomography Reconstruction Using Learned Half-Quadratic Splitting Networks with Anderson Acceleration

Curvature-Dependent Elastic Bending Total Variation Model for Image Inpainting with the SAV Algorithm

Fast Sinkhorn II: Collinear Triangular Matrix and Linear Time Accurate Computation of Optimal Transport

Spectrally Constrained Optimization

A Comprehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Parametrized PDEs

A Two-Step Fixed-Point Proximity Algorithm for a Class of Non-differentiable Optimization Models in Machine Learning

Constrained High-Index Saddle Dynamics for the Solution Landscape with Equality Constraints

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