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07/08/2023
A novel high-order linearly implicit and energy-stable additive Runge-Kutta methods for gradient flow models
This paper introduces a novel paradigm for constructing linearly implici...
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05/31/2023
Energy stable and maximum bound principle preserving schemes for the Allen-Cahn equation based on the Saul'yev methods
The energy dissipation law and maximum bound principle are significant c...
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10/05/2022
Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations
In this work, two novel classes of structure-preserving spectral Galerki...
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09/16/2022
Linearly implicit energy-preserving integrating factor methods for the 2D nonlinear Schrödinger equation with wave operator and convergence analysis
In this paper, we develop a novel class of linear energy-preserving inte...
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05/14/2021
Partitioned Active Learning for Heterogeneous Systems
Cost-effective and high-precision surrogate modeling is a cornerstone of...
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01/11/2021
A Degradation Performance Model With Mixed-type Covariates and Latent Heterogeneity
Successful modeling of degradation performance data is essential for acc...
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12/12/2020
NP-ODE: Neural Process Aided Ordinary Differential Equations for Uncertainty Quantification of Finite Element Analysis
Finite element analysis (FEA) has been widely used to generate simulatio...
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11/17/2020
Arbitrary high-order linearly implicit energy-preserving algorithms for Hamiltonian PDEs
In this paper, we present a novel strategy to systematically construct l...
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09/15/2020
An explicit and practically invariants-preserving method for conservative systems
An explicit numerical strategy that practically preserves invariants is ...
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06/25/2020
The Spectrum of the Singular Values of Z-Shaped Graph Matrices
Graph matrices are a type of matrix which appears when analyzing the sum...
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01/16/2020
Sequential Selection for Accelerated Life Testing via Approximate Bayesian Inference
Accelerated life testing (ALT) is typically used to assess the reliabili...
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12/02/2019
A general symplectic integrator for canonical Hamiltonian systems
The focus of this paper is to recommend a novel symplectic scheme for ca...
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11/18/2019
A structure-preserving algorithm for the fractional nonlinear Schrödinger equation based on the SAV approach
The main objective of this paper is to present an efficient structure-pr...
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11/16/2019
A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach
This paper aims to develop a linearly implicit structure-preserving nume...
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10/15/2019
Optimal error estimate of a conservative Fourier pseudo-spectral method for the space fractional nonlinear Schrödinger equation
In this paper, we consider the error analysis of a conservative Fourier ...
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08/27/2019
A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation
In this paper, we generalize the exponential energy-preserving integrato...
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06/29/2019