- mathematics, a
partial differential equation (PDE) is an
equation which involves a
multivariable function and one or more of its
partial derivatives. The...
-
Stochastic partial differential equations (SPDEs)
generalize partial differential equations via
random force terms and
coefficients, in the same way ordinary...
- Any
polynomial in D with
function coefficients is also a
differential operator. We may also
compose differential operators by the rule ( D 1 ∘ D 2 )...
- In mathematics, an
elliptic partial differential equation is a type of
partial differential equation (PDE). In
mathematical modeling,
elliptic PDEs are...
-
theory of
partial differential equations and
quantum field theory, e.g. in
mathematical models that
include ultrametric pseudo-
differential equations...
- In
mathematics and physics, a
nonlinear partial differential equation is a
partial differential equation with
nonlinear terms. They
describe many different...
-
constant coefficient partial differential equation of
elliptic type, the
Laplace equation: ∂ 2 u ∂ x 2 + ∂ 2 u ∂ y 2 = 0. {\displaystyle {\frac {\
partial ^{2}u}{\partial...
- Both
sides of the
partial differential equation can be
expanded as
formal power series and give
recurrence relations for the
coefficients of the
formal power...
- A
parabolic partial differential equation is a type of
partial differential equation (PDE).
Parabolic PDEs are used to
describe a wide
variety of time-dependent...
- very frequently,
particularly when
dealing with
separable linear partial differential equations. For example, in
quantum mechanics, the one-dimensional...
