简介:Analgorithmofcontinuousstage-spaceMCMCmethodforsolvingalgebraequationf(x)=0isgiven.Itisavailableforthecasethatthesignoff(x)changesfrequentlyorthederivativef'(x)doesnotexistintheneighborhoodoftheroot,whiletheNewtonmethodishardtowork.Letnbethenumberofrandomvariablescreatedbycomputerinouralgorithm.Thenafterrn=O(n)transactionsfromtheinitialvalueXo,X^*canbegotsuchthat[f(x^*)|<e-^cm|f(xo)|bychoosingsuitablepositiveconstantc.Anillustrationisalsogivenwiththediscussionofconvergencebyadjustingtheparametersinthealgorithm.
简介:Aone-dimensionaltime-dependentphotochemicalmodelisusedtosimulatetheinfluenceofion-producedNOxandHOxradicalsontheAntarcticozonedepletioninpolarnightandpolarspringatalatitudeof73degreessouth.Verticaltransportandnitrogen-oxygen(NOx).hydrogen-oxygen(HOx)productionbyionicreactionshavebeenintroducedintothemodel.NOxandHOxproducedbyprecipitatingionsaretransportedintothelowerstratospherebyverticalmotionandhavesomeeffectsinthedevelopmentoftheAntarcticozonedepletion.Fromwinterthroughspringthecalculatedozonecolumndecreasesto269.4DU.However,thisvalueissignificantlyhigherthanthetotalozoneobservedatseveralAntarcticozonestations.