Examples of using Partial differential equations in English and their translations into Malay
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PDEs find their generalization in stochastic partial differential equations.
Partial differential equations can thus be employed in solving problems in continuum mechanics.
Notation for monomials is constantly required in fields like partial differential equations.
Some linear, second-order partial differential equations can be classified as parabolic, hyperbolic or elliptic.
In 2015, healso shared the Abel Prize with Louis Nirenberg for his work on nonlinear partial differential equations.
He is renowned for his research on harmonic analysis, partial differential equations, combinatorics and analytic number theory.
Partial differential equations(PDEs) are equations that involve rates of change with respect to continuous variables.
The method of characteristics(similarity transformation method)can be used in some very special cases to solve partial differential equations.
Some partial differential equations do not fall into any of these categories over the whole domain of the independent variables and they are said to be of mixed type.
No, an average mathematician specialized in, say, algebraic geometry could notpass without preparation a graduate level exam on partial differential equations.
The activity in MathematicalAnalysis is mainly focused on ordinary and partial differential equations, on dynamical systems, on the calculus of variations, and on control theory.
Martin Hairer KBE FRS is an Austrian mathematician working in the field of stochastic analysis,in particular stochastic partial differential equations.
This is in contrast to solutions of the wave equation, and more general hyperbolic partial differential equations, which typically have no more derivatives than the data.
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.
Just as ordinary differential equations often model dynamical systems, partial differential equations often model multidimensional systems.
Women took another step forward in the still male-dominated world of science Tuesday, as American Karen Uhlenbeckwon the Abel Prize in mathematics for her work on partial differential equations.
He currently focuses on several branches of mathematics, including geometric combinatorics,harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinators, compressed sensing, and analytic number theory.
Like as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems.
Simply as regular differential equations typically model one-dimensional dynamical systems, partial differential equations typically model multidimensional systems.
Third order nonlinear partial differential equation, the Korteweg- de Vries equation: .
The partial differential equation takes the form.
The theory will be based on the advection-diffusion partial differential equation.
The one dimensional wave equation is unusual for a partial differential equation in that a very simple general solution may be found.
Conduction of heat, whose theory was developed by Joseph Fourier, is governed by another second order partial differential equation, the heat equation. .
Homogeneous second-order linear constant coefficient partial differential equation of elliptic type, the Laplace equation: .