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  1. Article

    Open Access

    Asymptotic Errors in the Superconvergence of Discontinuous Galerkin Methods Based on Upwind-Biased Fluxes for 1D Linear Hyperbolic Equations

    In this paper, we study the superconvergence of the semi-discrete discontinuous Galerkin (DG) method for linear hyperbolic equations in one spatial dimension. The asymptotic errors in cell averages, downwind p...

    Tianshi Lu, Sirvan Rahmati in La Matematica (2024)

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  2. No Access

    Article

    Strong Local Nondeterminism and Exact Modulus of Continuity for Isotropic Gaussian Random Fields on Compact Two-Point Homogeneous Spaces

    This paper is concerned with sample path properties of real-valued isotropic Gaussian fields on compact two-point homogeneous spaces. In particular, we establish the property of strong local nondeterminism of ...

    Tianshi Lu, Chunsheng Ma, Yimin **ao in Journal of Theoretical Probability (2023)

  3. No Access

    Article

    Netie: inferring the evolution of neoantigen–T cell interactions in tumors

    Neoantigens are the key targets of antitumor immune responses from cytotoxic T cells and play a critical role in affecting tumor progressions and immunotherapy treatment responses. However, little is known abo...

    Tianshi Lu, Seongoh Park, Yi Han, Yunguan Wang, Shawna Marie Hubert… in Nature Methods (2022)

  4. No Access

    Article

    Deep learning-based prediction of the T cell receptor–antigen binding specificity

    Neoantigens play a key role in the recognition of tumour cells by T cells; however, only a small proportion of neoantigens truly elicit T-cell responses, and few clues exist as to which neoantigens are recogni...

    Tianshi Lu, Ze Zhang, James Zhu, Yunguan Wang, Peixin Jiang… in Nature Machine Intelligence (2021)

  5. No Access

    Article

    Isotropic Covariance Matrix Functions on Compact Two-Point Homogeneous Spaces

    The covariance matrix function is characterized in this paper for a Gaussian or elliptically contoured vector random field that is stationary, isotropic, and mean square continuous on the compact two-point hom...

    Tianshi Lu, Chunsheng Ma in Journal of Theoretical Probability (2020)

  6. Chapter and Conference Paper

    Direct and Homogeneous Numerical Approaches to Multiphase Flows and Applications

    We have studied two approaches to the modeling of bubbly and cavitating fluids. The first approach is based on the direct numerical simulation of gas bubbles using the interface tracking technique. The second ...

    Roman Samulyak, Tianshi Lu, Yarema Prykarpatskyy in Computational Science - ICCS 2004 (2004)

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