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New Course
Concept
Nonlinear PDEs
Nonlinear
partial differential equations
(PDEs) are equations involving
unknown multivariable functions
and their
partial derivatives
, where the relationship between the variables is nonlinear. They are crucial in
modeling complex phenomena
in fields such as
fluid dynamics
, general relativity, and
financial mathematics
, but often lack
general analytical solutions
, requiring
numerical methods
for approximation.
Relevant Degrees
Differential and Integral Equations 88%
Computational Mathematics 13%
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