Editing Mathematical optimization (section)

===Mechanics===
Problems in [[rigid body dynamics]] (in particular articulated rigid body dynamics) often require mathematical programming techniques, since you can view rigid body dynamics as attempting to solve an [[ordinary differential equation]] on a constraint manifold;<ref>{{cite journal |first=A.F. |last=Vereshchagin |title=Modelling and control of motion of manipulation robots |journal=Soviet Journal of Computer and Systems Sciences |volume=27 |issue=5 |pages=29–38 |year=1989}}</ref> the constraints are various nonlinear geometric constraints such as "these two points must always coincide", "this surface must not penetrate any other", or "this point must always lie somewhere on this curve". Also, the problem of computing contact forces can be done by solving a [[linear complementarity problem]], which can also be viewed as a QP (quadratic programming) problem.

Many design problems can also be expressed as optimization programs. This application is called design optimization. One subset is the [[engineering optimization]], and another recent and growing subset of this field is [[multidisciplinary design optimization]], which, while useful in many problems, has in particular been applied to [[aerospace engineering]] problems.

This approach may be applied in cosmology and astrophysics.<ref>{{cite journal |first1=S. |last1=Haggag|first2=F. |last2=Desokey|first3=M. |last3=Ramadan   |title=A cosmological inflationary model using optimal control |journal= Gravitation and Cosmology|volume=23 |issue=3 |pages=236–239 |year=2017 |issn=1995-0721 | doi=10.1134/S0202289317030069 |bibcode=2017GrCo...23..236H|s2cid=125980981}}</ref>