The theory will be based on the advection-diffusion partial differential equation.
偏微分方程式および関連する諸問題。
Partial differential equations and other related topics.
偏微分方程式および関連する諸問題」。
Partial Differential Equations and Related Problems.
独立変数が2つ以上のものは、偏微分方程式といわれる。
To more than one independent variable is called a partial differential equation.
偏微分方程式の最大値原理とその周辺。
Maximum principles in partial differential equations and related topics.
数理物理学の偏微分方程式、1955:ドーバー出版。
Partial Differential Equations of Mathematical Physics, 1955: Dover Publications.
偏微分方程式および関連する諸問題。
In Partial Differential Equations and Related Topics.
線形代数とモンテカルロ法、偏微分方程式など時間発展の数理です。
The courses will deal with linear algebra,the Monte Carlo method, partial differential equations and other mathematical topics relating to time evolution.
This generalization of Taylor's theorem is the basis for the definition ofso-called jets which appear in differential geometry and partial differential equations.
P=bという形で表される偏微分方程式。
A partial differential equation expressed in a form of∇2 P=b, where P and b are functions.
超関数論に重要な影響を与えたのは、偏微分方程式や群の表現の理論などからの技術的な要請であった。
Important influences on the subjecthave been the technical requirements of theories of partial differential equations, and group representation theory.
基本解はまた、境界要素法による偏微分方程式の数値解においても重要な役割を担う。
Fundamental solutions alsoplay an important role in the numerical solution of partial differential equations by the boundary element method.
Substituting this solution form into the partial differential equations gives a system of ordinary differential equations known as the travelling wave equations..
偏微分方程式というのは、未知関数の偏微分を含む微分方程式のことです。
Partial differential equations are differential equations that contain partial derivatives of an unknown function.
その結果は、幾何学、保型関数、特殊関数、偏微分方程式など多岐にわたって広く応用されている。
As a result his approach has become widely used in geometry, automorphic functions,special functions and partial differential equations.
そのようなD-加群への主要な興味は、線型偏微分方程式の理論へのアプローチとしてである。
The major interest of suchD-modules is as an approach to the theory of linear partial differential equations.
デジタル信号処理、大数的乗法、偏微分方程式等に幅広く応用されています。
It is widely used in digital signal processing,calculating large integer multiplications, solving partial derivative equations, and so on.
本講演では,偏微分方程式系に対する完全WKB解析について述べる。
In this talk,we consider the exact WKB analysis for systems of partial differential equations.
If author YYY wrote an article on partial differential equations using techniques from amenable group, this doesn't imply that other specialists in his field know any group theory.
For example, the soliton equations describing the nonlinear waves canbe solved exactly although they are nonlinear partial differential equations which are usually difficult to handle.
Sapporo Symposium on Partial Differential Equations is held annually to present the latest development in PDE. We aim to represent the broad spectrum of interests in its choice and do not focus on methods of one particular research group.
Mathematics Students develop basic mathematical thinking through courses on algebra, set, and topology.They also learn partial differential equations and discrete mathematics to acquire the specialized knowledge necessary for analyzing the mathematical structure of various phenomena.
Next we introduce the result which was obtained by Lutz-Miyake-Schäfke, for heat equations,and explain the difference between ordinary differential equations and partial differential equations. Finally, we explicate some results for partial differential equations of nilpotent type which have been studied by the speaker so far.
The PhD curriculum in Mathematics of Natural, Social and Life Sciences at Gran Sasso Science Institute will lead the students to deal not only with the more traditional aspects of this discipline,such as Pure Mathematics, Partial Differential Equations and Mathematical Physics, but also with entirely new problems, requiring the development of the most appropriate tools to deal with the complexity, such as stochastic analysis and computational mathematics.
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