H
Haiyan Tian
Researcher at University of Southern Mississippi
Publications - 17
Citations - 319
Haiyan Tian is an academic researcher from University of Southern Mississippi. The author has contributed to research in topics: Matrix (mathematics) & Helmholtz equation. The author has an hindex of 9, co-authored 17 publications receiving 267 citations. Previous affiliations of Haiyan Tian include University of Wisconsin–Stout & University of Louisiana at Lafayette.
Papers
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On immunotherapies and cancer vaccination protocols: a mathematical modelling approach.
Badal Joshi,Xueying Wang,Sayanti Banerjee,Haiyan Tian,Anastasios Matzavinos,Mark A. J. Chaplain +5 more
TL;DR: A new mathematical model of immunotherapy and cancer vaccination is developed, focusing on the role of antigen presentation and co-stimulatory signaling pathways in cancer immunology, and the results of computational simulations suggest that elevated numbers of professional antigen presenting cells correlate well with prolonged time periods of cancer dormancy.
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A boundary meshless method using Chebyshev interpolation and trigonometric basis function for solving heat conduction problems
TL;DR: In this article, a boundary meshless method has been developed to solve the heat conduction equations through the use of a newly established two-stage approximation scheme and a trigonometric series expansion scheme to approximate the particular solution and fundamental solution, respectively.
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All solutions of the Yang–Baxter-like matrix equation for rank-one matrices
TL;DR: This paper solves the quadratic matrix equation A X A = X A X to find all the solutions and states that p and q are two nonzero n -dimensional complex vectors.
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A basis function for approximation and the solutions of partial differential equations
TL;DR: A type of basis functions in the form of a truncated series over some orthogonal system of eigenfunctions, used in Kansa's method for solving Helmholtz‐type equations on arbitrary domains are introduced.
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Numerical solutions of elliptic partial differential equations using Chebyshev polynomials
TL;DR: A simple and effective Chebyshev polynomial scheme (CPS) combined with the method of fundamental solutions (MFS) and the equilibrated collocation Trefftz method for the numerical solutions of inhomogeneous elliptic partial differential equations (PDEs).