THIRD-ORDER

作品数:222被引量:342H指数:8
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相关领域:理学机械工程更多>>
相关作者:姚庆六何捷唐长文闵昊洪志良更多>>
相关机构:南京财经大学扬州师范学院复旦大学东北师范大学更多>>
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Third-order elastic, piezoelectric, and dielectric constants被引量:1
《Applied Mathematics and Mechanics(English Edition)》2019年第12期1831-1846,共16页Yanming ZHANG Jun JIN Hongping HU 
Project supported by the National Natural Science Foundation of China(Nos.11872186 and11272126);the Fundamental Research Funds for the Central Universities(No.HUST:2016JCTD114)
The definitions of the third-order elastic,piezoelectric,and dielectric constants and the properties of the associated tensors are discussed.Based on the energy conservation and coordinate transformation,the relations...
关键词:THIRD-ORDER ELASTIC CONSTANT THIRD-ORDER PIEZOELECTRIC CONSTANT nonlinear THIRD-ORDER dielectric CONSTANT crystal COORDINATE transformation TENSOR 
Cavitating/non-cavitating flows simulation by third-order finite volume scheme and power-law preconditioning method
《Applied Mathematics and Mechanics(English Edition)》2013年第2期209-228,共20页P.AKBARZADEH 
the Shahrood University of Technology for financial support of this study
Equations of steady inviscid and laminar flows are solved by means of a third-order finite volume (FV) scheme. For this purpose, a cell-centered discretization technique is employed. In this technique, the flow para...
关键词:power-law preconditioner finite-volume (FV) scheme third-order accuracy convergence cavitation HYDROFOIL 
Symmetry solutions of a nonlinear elastic wave equation with third-order anharmonic corrections被引量:1
《Applied Mathematics and Mechanics(English Edition)》2009年第8期1017-1026,共10页M.Tahir Mustafa Khalid Masood 
Lie symmetry method is applied to analyze a nonlinear elastic wave equation for longitudinal deformations with third-order anharmonic corrections to the elastic energy. Symmetry algebra is found and reductions to seco...
关键词:group invariant solutions Lie symmetries nonlinear elasticity equations partial differential equations 
Preliminary group classification of quasilinear third-order evolution equations
《Applied Mathematics and Mechanics(English Edition)》2009年第3期275-292,共18页黄定江 张鸿庆 
supported by the National Key Basic Research Project of China (973 Program)(No. 2004CB318000)
Group classification of quasilinear third-order evolution equations is given by using the classical infinitesimal Lie method, the technique of equivalence transformations, and the theory of classification of abstract ...
关键词:quasilinear third-order evolution equations group classification classical infinitesimal Lie method equivalence transformation group abstract Lie algebras 
Third-order modified coeffcient scheme based on essentially non-oscillatory scheme
《Applied Mathematics and Mechanics(English Edition)》2008年第11期1477-1486,共10页李明军 杨玉月 舒适 
the National Natural Science Foundation of China(Nos.10676031,50675185);the Ph.D. Programs Foundation of Ministry of Education of China(No.20070530003);the Key Project of Chinese Ministry of Education(No.208093);the Scientific Research Fund of Hunan Provincial Education Department(No.07A068)
A third-order numerical scheme is presented to give approximate solutions to multi-dimensional hyperbolic conservation laws only using modified coefficients of an essentially non-oscillatory (MCENO) scheme without i...
关键词:essentially non-oscillatory scheme modified coefficient scheme the Lax shock-wave tube Rayleigh-Taylor instability 
Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation被引量:1
《Applied Mathematics and Mechanics(English Edition)》2007年第7期973-980,共8页曲富丽 王文洽 
Project supported by the National Natural Science Foundation of China(No.10671113);the Natural Science Foundation of Shandong Province of China(No.Y2003A04)
A group of asymmetric difference schemes to approach the Korteweg-de Vries (KdV) equation is given here. According to such schemes, the full explicit difference scheme and the full implicit one, an alternating segme...
关键词:KdV equation intrinsic parallelism alternating segment explicit-implicit difference scheme unconditionally linear stable 
CONSTRUCTION OF THIRD-ORDER WNND SCHEMEAND ITS APPLICATION IN COMPLEX FLOW
《Applied Mathematics and Mechanics(English Edition)》2005年第1期35-43,共9页刘伟 赵海洋 谢昱飞 
theNationalNaturalScienceFoundationofChina ( 90 2 0 50 1 3 )
According to the Liu's weighted idea, a space third-order WNND (weighted non-oscillatory, containing no free parameters, and dissipative scheme) scheme was constructed based on the stencils of second-order NND (non-os...
关键词:high-order scheme numerical simulation topological structure limiting streamline of surface Navier-Stokes equation WNND scheme 
THIRD-ORDER NONLINEAR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM被引量:1
《Applied Mathematics and Mechanics(English Edition)》2002年第6期670-677,共8页WANG Guo-can(王国灿) JIN Li(金丽) 
Third order singulary perturbed boundary value problem by means of differential inequality theories is studied. Based on the given results of second order nonlinear boundary value problem, the upper and lower solution...
关键词:third order boundary value problem upper and lower solutions Volterra type integral operator existence and asymptotic estimates 
ASYMPTOTIC SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH TURNING POINTS
《Applied Mathematics and Mechanics(English Edition)》2001年第4期394-403,共10页JIANG Fu-ru(江福汝) JIN Qi-nian(金其年) 
Boundary value problem; for third-order ordinary differential equations with turning points are studied as follows : epsilon gamma ' ' + f(x ; epsilon) gamma ' + g(x ; epsilon) gamma ' +h(x ; epsilon) gamma = 0 (- a <...
关键词:boundary value problems ordinary differential equations turning points asymptotic solutions 
SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR QUASILINEAR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS INVOLVING TWO SMALL PARAMETERS被引量:2
《Applied Mathematics and Mechanics(English Edition)》2001年第2期229-236,共8页林苏榕 田根宝 林宗池 
The singularly perturbed boundary value problem for quasilinear third-order ordinary differential equation involving two small parameters has been considered. For the three cases epsilon/mu (2) --> 0(mu --> 0), mu (2)...
关键词:two-parameters singular perturbation boundary value problem asymptotic expansion 
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