A fractional spectral method with applications to some singular problems. - Dianming Hou; Chuanju Xu (Adv. Comput. Math., 2017)

Müntz Spectral Methods for the Time-Fractional Diffusion Equation. - Dianming Hou; Mohammad Tanzil Hasan; Chuanju Xu (Comput. Methods Appl. Math., 2018)

Highly efficient and accurate schemes for time fractional Allen-Cahn equation by using extended SAV approach. - Dianming Hou; Hongyi Zhu; Chuanju Xu (CoRR, 2019)

A variant of scalar auxiliary variable approaches for gradient flows. - Dianming Hou; Mejdi Azaïez; Chuanju Xu (J. Comput. Phys., 2019)

A Müntz-Collocation Spectral Method for Weakly Singular Volterra Integral Equations. - Dianming Hou; Yumin Lin; Mejdi Azaïez; Chuanju Xu (J. Sci. Comput., 2019)

Robust and stable schemes for time fractional molecular beam epitaxial growth model using SAV approach. - Dianming Hou; Chuanju Xu (J. Comput. Phys., 2021)

Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach. - Dianming Hou; Hongyi Zhu; Chuanju Xu (Numer. Algorithms, 2021)

Highly Efficient and Energy Dissipative Schemes for the Time Fractional Allen-Cahn Equation. - Dianming Hou; Chuanju Xu (SIAM J. Sci. Comput., 2021)

A linear adaptive BDF2 scheme for phase field crystal equation. - Dianming Hou; Zhonghua Qiao (CoRR, 2022)

A Second Order Energy Dissipative Scheme for Time Fractional L2 Gradient Flows using SAV Approach. - Dianming Hou; Chuanju Xu (J. Sci. Comput., 2022)

Energy regularized models for logarithmic SPDEs and their numerical approximations. - Jianbo Cui; Dianming Hou; Zhonghua Qiao (CoRR, 2023)

Energy stable and maximum bound principle preserving schemes for the Q-tensor flow of liquid crystals. - Dianming Hou; Xiaoli Li 008; Zhonghua Qiao; Nan Zheng (CoRR, 2023)

A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility. - Dianming Hou; Zhonghua Qiao; Lili Ju (CoRR, 2023)

An Implicit-Explicit Second-Order BDF Numerical Scheme with Variable Steps for Gradient Flows. - Dianming Hou; Zhonghua Qiao (J. Sci. Comput., 2023)

A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility. - Dianming Hou; Lili Ju; Zhonghua Qiao (Math. Comput., 2023)

An efficient and robust Lagrange multiplier approach with a penalty term for phase-field models. - Dianming Hou; Yuexin Ning; Chao Zhang (J. Comput. Phys., 2023)

Energy-Dissipative Spectral Renormalization Exponential Integrator Method for Gradient Flow Problems. - Dianming Hou; Lili Ju; Zhonghua Qiao (SIAM J. Sci. Comput., 2024)

Unconditionally original energy-dissipative and MBP-preserving Crank-Nicolson scheme for the Allen-Cahn equation with general mobility. - Dianming Hou; Hui Liu; Lili Ju (Comput. Math. Appl., 2025)

Energy Stable and Maximum Bound Principle Preserving Schemes for the ( boldsymbol {Q} )-Tensor Flow of Liquid Crystals. - Dianming Hou; Xiaoli Li 008; Zhonghua Qiao; Nan Zheng (SIAM J. Numer. Anal., 2025)