# Differential Equations

### Some articles on differential equations, differential, differential equation, equations, equation:

Spectral Theory Of Ordinary Differential Equations
... In mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and eigenfunction expansion associated with a ... the classical Sturm–Liouville theory on a finite closed interval to second order differential operators with singularities at the endpoints of the interval ... The theory was put in its final simplified form for singular differential equations of even degree by Kodaira and others, using von Neumann's spectral ...
Leslie Fox - Mathematical Work
... early work with Southwell was concerned with the numerical solution of partial differential equations arising in engineering problems that, due to the complexity of their geometry, did not have analytical ... algorithms, however the approach of approximating a partial differential equation by finite difference method and thus reducing the problem to a system of linear equations was the same ... Fox worked on procedures for solving differential equations in which accuracy of the solution is estimated using asymptotic estimates ...
Hyperbolic Partial Differential Equation
... In mathematics, a hyperbolic partial differential equation of order n is a partial differential equation (PDE) that, roughly speaking, has a well-posed initial value problem for the first n−1 derivatives ... Many of the equations of mechanics are hyperbolic, and so the study of hyperbolic equations is of substantial contemporary interest ... The model hyperbolic equation is the wave equation ...
Thermal Simulations For Integrated Circuits - Techniques To Solve Heat Equation - Numerical Solutions
... and popular technique that consists in solving differential equations numerically as well as certain boundary conditions defined by the problem ... space and time, and using finite differencing formulas, thus the partial differential equations that describe the physics of the problem can be solved numerically by computer programs ... and mathematical problems described by differential equations as well as boundary conditions ...
SLATEC - Contents
... yes Basic linear algebra DASSL 16 no solve differential/algebraic equation systems DEPAC 10 no solve ordinary differential equations (Runge-Kutta method and similar) EISPACK 71 yes eigenvalues and ...

### Famous quotes containing the word differential:

But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.
Antonin Artaud (1896–1948)