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initial value problem中文是什么意思

  • 初始值問(wèn)題
  • 初值問(wèn)題
  • 柯問(wèn)題

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  • 例句與用法
  • Numerical experiments with our scheme and other central schemes for the initial value problems of convective equation , burgers equation and euler equations have been implemented . these results demonstrate the desired accuracy and high resolution of our scheme . also our scheme can be easily applied and implemented to a wide variety of problems
    本文對(duì)所提格式用一維對(duì)流方程、 burgers方程、 euler方程的初值問(wèn)題進(jìn)行了大量的數(shù)值試驗(yàn),并將結(jié)果與其它各階中心差分格式進(jìn)行了比較,試驗(yàn)結(jié)果表明,本文方法具有分辨率高和準(zhǔn)確性好的特點(diǎn)。
  • In section 2 . 2 , by a priori estimates and fourier spectral method , we prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the large time error estimate between spectral approximate solution and the exact solution . in sections 2 . 3 and 2 . 4 , by a priori estimates and galerkin method , we prove the existence of the global smooth solution and global attrac - tors for the initial - boundary value problem . chapter 3 , consider the initial - boundary value problem of the multidimen - sional non - homogeneous gbbm equations
    第二章,考慮一類一維非齊次bbm方程,在第二節(jié)中利用fourier譜方法和先驗(yàn)估計(jì)證明了具有周期初值問(wèn)題的整體光滑解的存在性和唯一性,給出了fourier譜近似解和精確解的長(zhǎng)時(shí)間誤差估計(jì);在第三、四節(jié)中討論了初邊值問(wèn)題,利用與時(shí)間t無(wú)關(guān)的一致先驗(yàn)估計(jì),證明了整體光滑解和整體吸引子的存在性。
  • The aim of this thesis is to analyze the super - convergence and stability of continuous finite element methods which is a type of numerical me - thods solving the 1 - degree lineal initial value problem of ordinary differential equation , and compare the stability of the three 4 - order pre - cision numerical methods of the 1 - degree initial value problem of ordinary differential equation - classical runge - kutta method ( single step method ) , adams hidden method ( multiple step method ) , and continuous finite element method
    本文針對(duì)一階線性常微分方程初值問(wèn)題的連續(xù)有限元法的超收斂性和穩(wěn)定性作了分析,并對(duì)一階線性常微分方程初值問(wèn)題的具有4階精度的三類數(shù)值方法? ?經(jīng)典runge - kutta法(單步法) , adams隱式格式(多步法) ,連續(xù)有限元法的穩(wěn)定性作了比較。
  • Abstract : in this paper , the authors study the initial value problems of a class of weakly nonlinear differential equation . the first and the second order approximate solutions are obtained . their accuracies are high and the more the approximate order is high , the more the accuracy is high . if the regular perturbation method is used to solve the same problems , then , when the independent variable is big , so is the error of the solution
    文摘:用插值攝動(dòng)法1研究一類弱非線性常微分方程的初值問(wèn)題,得到了一級(jí)及二級(jí)近似解.解的精度很高,并逐級(jí)提高.如果用正則攝動(dòng)法求解此類問(wèn)題,則當(dāng)自變量較大時(shí),誤差很大
  • As the applications of mixed monotone operators theory , some classes of equations are considered . some initial value problems and boundary value problems for mixed monotone nonlinear impulsive integro - differential equations and nonlinear elliptic equations are discussed . some known results are generalized under weak conditions . and initial value problems and periodic boundary value problems for mixed monotone nonlinear impulsive evolution equations are discussed by mixed monotone operators theory with considering the main properties of operator semigroup . the sufficient and necessary conditions for existence and uniqueness of their solution and coupled solution are obtained
    作為混合單調(diào)算子理論的應(yīng)用,本章討論了非線性混合單調(diào)脈沖積微分方程和混合單調(diào)非線性橢圓方程方面的一些問(wèn)題,不同程度地削弱了原有的條件,推廣了已知的結(jié)果;還利用錐理論并結(jié)合算子半群的性質(zhì)及其主要特征討論了非線性脈沖發(fā)展方程初值問(wèn)題、周期邊值問(wèn)題,給出了混合單調(diào)非線性脈沖發(fā)展方程的耦合周期解以及存在唯一解的充要條件。
  • Beyond the usual method , the one dimensional equation was expressed in the form of ( the equation is abbreviated ) , which then was introduced by middle varible ( the equation is abbreviated ) , so that the same solution of initial value problem by the characteristic curve method of the first order equations ( the equation is abbreviated ) and ( the equation is abbreviated ) was abtained
    摘要對(duì)一維非齊次波動(dòng)方程的始值問(wèn)題在傳統(tǒng)的疊加原理、達(dá)朗貝爾公式、齊次化原理的方法之外,完全用特征線方法,先將方程表示為(方程式略)的形式,進(jìn)而引入中間變量(方程式略) ,得以用一階方程(方程式略)的特征線方法,推導(dǎo)出維該始植問(wèn)題的與傳統(tǒng)方法相同的解。
  • If the inviscid solution includes the interaction that a central rarefaction wave collides with the boundary and the boundary reflects a new shock wave which is tangent to the boundary , or the inviscid solution includes some shock wave which is tangent to the boundary , then the error of the viscosity solution to the inviscid solution is bounded by o in l1 - norm ; otherwise , as in the initial value problem , the error bound is o
    如果無(wú)粘解包含中心稀疏波與邊界相撞且邊界反射一個(gè)與之相切的新激波這樣的相互作用,或者無(wú)粘解包含與邊界相切的激波,那么在l ~ 1 -范數(shù)下粘性解與無(wú)粘解間的誤差界是o ( ~ ( 1 / 2 ) + | ln | + ) ;否則,類似于初始值問(wèn)題,誤差界是o ( | ln | + ) 。
  • At the beginning of fourth chapter , the article transforms the solving problem of partial differential equation for the american put price into a standard initial and boundary value problem of parabolic type by making some transformations . afterwards , the solving problem of parabolic type is transformed into a initial value problem of ordinary differential equation with respect to through fourier transform again . at the last section of the fourth chapter , the article solves the initial value problem with the progressive euler method and the finite element method
    在第四章,對(duì)美式看跌期權(quán)價(jià)格所滿足的偏微分方程定解問(wèn)題通過(guò)作一系列變換,使之轉(zhuǎn)化為一個(gè)標(biāo)準(zhǔn)的拋物型初、邊值問(wèn)題,接著又通過(guò)傅里葉變換,把拋物型初、邊值問(wèn)題轉(zhuǎn)換為一個(gè)關(guān)于時(shí)間變量的常微分方程初值問(wèn)題,然后再分別利用改進(jìn)的歐拉法和有限元法對(duì)其進(jìn)行了求解。
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  • 百科解釋
In mathematics, in the field of differential equations, an initial value problem (also called the Cauchy problem by some authors) is an ordinary differential equation together with a specified value, called the initial condition, of the unknown function at a given point in the domain of the solution. In physics or other sciences, modeling a system frequently amounts to solving an initial value problem; in this context, the differential equation is an evolution equation specifying how, given initial conditions, the system will evolve with time.
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