Abstract111 this paper, we rcvicw the d e v e l o l~n~e~~t of new reducecl-orcler ~r~o t l e l i~~g tecl~niques ant1 tliscuss their applicalrility to variolts prol)len~s in co~ril)utatior~ul pl~ysics. Eu~pllasis is gi~.cn to r~~ctho(ls basetl 011 j'olterra series r e l ) r e s e~~t a t i o~~s and thr proper ortllogo11a1 deco~~~position. Results are reported for cliffcre~~t 11ol11i11ear systct~l~s to 1)rovidc clear cxan~ples of the cor~struc.tio~~ a11t1 usc of recluc~cd-orcler rllod(>ls, p;lrtic.-ularly ill the 1l11tlti-cliscil)li11:1ry field of c o~~~l ) u t a t i o~~a l aeroelasticity. U~~s t e a d y aerodj,nan~ic and aeroelast,ic behaviors of two-di~nrnsional and three-dinle~~sional g e o~~~e t r i e s arc. tlcscri1)etl. Large illcreases in co1111)utational efficie~~c,y are ol~t,:ii~lccl thruugl~ the use of rcducetl-order ~r~otlc!ls! thcrebj. justifying the izlitial c.onlputatio11a1 esl)c:~~se of constructing th(:sr r~~oticls and ~~~o t i v a t i r~g tl~eir usc for ~~~ulti-disc,i[)Ii~la~>. design analysis.

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