梁松新
院系：数学科学学院
办公电话：(0411) **--8028
电子信箱：sliang668@dlut.edu.cn
更新时间：2015-12-21
其他专业：应用数学



个人简介
1995 - 1998 四川大学数学博士
2006 - 2010 加拿大西安大略大学应用数学博士
2011 -现在大连理工大学数学科学学院教授、博士生导师


研究领域（研究课题）
(1) 非线性问题的解析方法和渐近方法
(2) 计算机代数
(3) 数值分析

出版著作和论文
[01] 梁松新，曾广兴*：无限维空间中的实零点定理，数学学报，39 (1996) 336-344.
[02] 梁松新，张景中：地奥教育软件—平面解析几何，中国少年儿童出版社，1998.
[03] 杨路，梁松新（主编): 面向21世纪的数学技术, 广东经济出版社, 1999.
[04] 梁松新* & Jingzhong Zhang, A complete discrimination system for polynomials with complex coefficients and its automatic generation, Science in China, Series E, 42 (1999) 113-128.
[05] 梁松新* & David J. Jeffrey, An algorithm for computing the complete root classification of a parametric polynomial, AISC2006. Lecture Notes in Computer Science 4120, pp. 116-130, Springer, 2006.
[06] 梁松新* & David J. Jeffrey, Rule-based simplification in vector-product spaces, Calculemus2007. Lecture Notes in Computer Science 4573, pp. 116-127, Springer, 2007.
[07] 梁松新* & David J. Jeffrey, Automatic computation of the travelling wave solutions to nonlinear PDEs, Computer Physics Communications, 178 (2008) 700-712.
[08] 梁松新 & David J. Jeffrey*, Unconstrained parametric minimization of a polynomial: approximate and exact, ASCM 2007. Lecture Notes in Computer Science 5081, pp. 22-31, Springer, 2008.
[09] 梁松新*, David J. Jeffrey & Marc Moreno Maza, The complete root classification of a parametric polynomial on an interval, Proceedings of the 2008 International Symposium on Symbolic and Algebraic Computation (ISSAC’08), pp. 189-196, ACM Press.
[10] 梁松新* & David J. Jeffrey, Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation. Communications in Nonlinear Science and Numerical Simulation, 14 (2009) 4057–4064.
[11] 梁松新* & David J. Jeffrey, Automatic computation of the complete root classification for a parametric polynomial, Journal of Symbolic Computation, 44 (2009) 1487-1501.
[12] 梁松新* & David J. Jeffrey, New travelling wave solutions to modified CH and DP equations, Computer Physics Communications, 180 (2009) 1429–1433.
[13] 梁松新* & David J. Jeffrey, An efficient analytical approach for solving fourth order boundary value problems, Computer Physics Communications, 180 (2009) 2034–2040.
[14] 梁松新*, Juergen Gerhard, David J. Jeffrey & Guillaume Moroz, A Package for Solving Parametric Polynomial Systems, ACM Communications in Computer Algebra, 43 (2009) 61-72.
[15] 梁松新* & David J. Jeffrey, Approximate solutions to a parameterized sixth order boundary value problem, Computers & Mathematics with Applications, 59 (2010) 247-253.
[16] 梁松新* & David J. Jeffrey, An analytical approach for solving nonlinear boundary value problems in finite domains, Numerical Algorithms, 56 (2011) 93-106.
[17] 梁松新* & Junchi Ma, Laplace transform for the solution of higher order deformation equations arising in the homotopy analysis method, Numerical Algorithms, 67 (2014) 49-57.
[18] 梁松新* & Sijia Liu, An open problem on the optimality of an asymptotic solution to Duffing’s nonlinear oscillation problem, Communications in Nonlinear Science and Numerical Simulation, 19 (2014) 4189–4195.
[19] Xiaolong Zhang & 梁松新*, Adomian decomposition method is a special case of Lyapunov’s artificial small parameter method , Applied Mathematics Letters 48 (2015) 177–179.