linear parabolic equations 中文意思是什麼

linear parabolic equations 解釋
線性拋線型方程
  • linear : adj. 1. 線的，直線的。2. 長度的。3. 【數學】一次的，線性的。4. 【動、植】線狀的；細長的。5. 由線條組成的，以線條為主的，強調線條的。
  • parabolic : 1. 比喻的；寓言似的。2. 拋物線（狀）的。
  • equations : 方程式
  1. In chapter two, we consider full disceret scheme of mixed finite element methods for the following initial - value problems of linear integro - differential equations of parabolic in this chapter, we give the error analysis of this full discrete scheme and get optimal error estimates for the discrete solutions of u and p

    第二章討論下述線性拋物型積分微分方程初邊值問題混合有限元方法的后差全離散格式。給出了該全離散格式的誤差分析，得到了離散解逼近未知函數u以及伴隨速度p的關于空間和時間的最優階誤差估計。
  2. A presentation of the fundamentals of modern numerical techniques for a wide range of linear and nonlinear elliptic, parabolic and hyperbolic partial differential equations and integral equations central to a wide variety of applications in science, engineering, and other fields

    本課程講授求解不同線性及非線性橢圓、拋物線及雙曲線偏微分方程式與積分方程式等之現代數值技巧基礎，並強調在許多科學、工程及相關領域上的應用。
  3. In this paper, we consider mixed finit element methods for the initial - boundary value problems of two order hyperbolic equations and linear integro - differential equations of parabolic type, obtain the error estimates of the discrete schemes for this two kinds of problems. in chapter one, we consider the expanded mixed finite element methods for the followling 2nd order hyperbolic problems this method expands the standard mixed formulation in the sense that three variable are explixitly treated : the scalar unknwon, its gradient and its flux

    本文討論了二階雙曲方程和線性拋物型積分微分方程方程初邊值問題的混合有限元方法，得到了這兩類問題混合有限元離散格式的誤差估計。第一章討論二階雙曲初邊值問題的擴展混合元方法。該方法能同時逼近未知函數、未知函數的梯度和流體的流量，較好的模擬了帶有混合型邊界條件的二階雙曲問題。
  4. The existence of global weak solutions for the initial - boundary value problem in a kind of semi - linear parabolic equations

    一類半線性拋物型方程混和問題整體弱解的存在性
  5. Its contents include results on the finite element method for the dynamics equations, the lumped mass finite element methods and error estimations for solving the parabolic problem, fourth order nonstationary elliptic equation, the nonstationary stokes problem and bingham fluid problem, the finite element methods and error estimations for solving linear and nonlinear the hyperbolic equations

    內容包括關于求解工程力學方程有限元方法的最新結果。解拋物問題、非穩態四階橢圓方程、 stokes問題以及管道bingham流的質量集中有限元方法及其誤差估計，解線性與非線性雙曲型方程的有限元方法及其誤差估計。
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