
bullersh-stoar algoridam

sankhyatmak vishleshanamadhye, bullersh-store algoridam hii samanya vibhedak samikarananchya sankhyatmak samadhanasathi eka paddhat aahe jee teen shaktishali kalpana ektrit karateh richardson extrapolation, richardson-prakarchya anuprayoganmadhye tarksangat karya extrapolation vapar aanee sudharit madhyabindu paddhat, uchch achookatesah aanee tulanene qamee sanganakeey prayatnansah samanya vibhedak samikarananna (oo. dii. ess.) sankhyatmak upay prapt karnyasathi. yala roland bullersh aanee joseph store yanche naav denyat aale aahe. william bii mule sudharit madhyabindu paddhatichya truti karyabaddal parinamache mahatva asalyamule tyala kadhikadhi gragg-bullersk-store (jee. bii. ess.) algoridam mhanatat. gragg.
moolbhut kalpana.
richardson extrapolation kalpana ashee aahe qee sankhyatmak gananecha vichar karane, jyachi achookata vaparlelya charananchya aakaravar avalambun asate, 'etch' chey (adnyat) vishleshanatmak karya mhanoon 'etch', 'etch' chya vividh moolyansah sankhyatmak ganana karane, parinami gunansathi eka (nivadalele) vishleshanatmak karya basavane aanee nantar 'etch' = 0 sathee fitting karyache moolyankan karane, asha prakare gananacha parinam andaje karnyacha prayatna karane.
bullersh aanee stoar yanni olakhale qee sankhyatmak ektrikaranat richardson extrapolationsathy fitting functions mhanoon tarksangat functionscha vapar karane bahupadi functions vaparnyapeksha shreshth aahe kaaran parimey functions dhruvansah functionscha andaj lavnyas saksham aahet (bahupadi functionschya tulanet), heey lakshat gheta qee chhedamadhye jawalchya dhruvancha hishob karnyasathi puresha uchch-shaktichya sandnya aahet. bahupadi antarveshan kinwa bahyavichhedan heey keval tevhach changle parinam dete jevha sarvat jawalcha dhruv guntaguntichya pratalatil dnyat deta bindunchya bhovati vartulachya baher asel, tarr tarksangat karya antarveshan kinwa bahyavichhedan heey agadi jawalchya dhruvanchya upasthitit dekhil ullekhaneey achookata asoo shakate.
sudharit madhyabindu paddhat hii swatach dusya kramankachi paddhat aahe aanee mhanoon samanyatah chauthya kramankachya rung-kutta paddhatisarkhya chauthya kramankachya paddhatinpeksha nikrusht aahe. tathapi, pratyek upapattache keval eka vyutpann moolyankan aavashyak aahe (mothya sankhyene upapatta asymptotically), aanee yavyatirikt, gragdware shodhalyapramane, aakarachya sudharit madhyabindu tappyatil truti, jyamadhye "etch" = "etch"/"aine" aakarache "aine" upapatta asatat aanee "etch" madhye power sirij mhanoon vyakt kele jaatat, tyat fakt "etch" chya summ shakti asatat. yamule sudharit madhyabindu paddhat bullersh-storer paddhatisathi atyant upayukt tharate kaaran jevha 'etch' heey antar olandanyachya vegvegalya prayatnanche parinam aanee upapantunchya vadhatya sankhyes ekatra kele jaatat tevha achookata eka velee done kramane vadhate.
tyanchya paddhativaril charchet asey mhana qee yaa prakaranat tarksangat bahyaprakshep haah bahupadi antarveshapeksha jawaljawal kadhihi sudhar nasato. shivay, sudharit madhyabindu paddhat hii niyamit madhyabindu paddhaticha eka badal aahe, jyamule tee adhik sthir hote, parantu bahyaprasthanamule heey kharokhar mahattvache nahee.