{"product_id":"clean-numerical-simulation-hardback","title":"Clean Numerical Simulation - Hardback","description":"\u003cp\u003eThis book describes the basic principles of Clean Numerical Simulation (CNS) proposed by the author in 2009, as well as several of its applications. Unlike conventional algorithms, CNS gives in a sufficiently long interval of time a \u003cem\u003econvergent\u003c\/em\u003e chaotic trajectory whose numerical noise is much lower than the true physical solution, so that one can gain accurately. Thus, CNS provides \u003cem\u003efor the first time\u003c\/em\u003e an ability to check statistics stability of chaos, leading to a completely \u003cem\u003enew \u003c\/em\u003econcept of \"ultra-chaos,\" which has both \u003cem\u003etrajectory instability\u003c\/em\u003e and \u003cem\u003estatistics instability\u003c\/em\u003e, and thus is of a higher disorder.\u003c\/p\u003e\u003cp\u003eNotably, it is \u003cem\u003eimpossible\u003c\/em\u003e to repeat experimental results of ultra-chaos even in the statistical sense. However, the reproducibility of physical experiments forms a \u003cem\u003ecornerstone\u003c\/em\u003e for modern science. Thus, ultra-chaos reveals an \u003cem\u003eincompleteness\u003c\/em\u003e of the modern science \u003cem\u003eparadigm\u003c\/em\u003e. In addition, it also reveals statistics stability as a \u003cem\u003eprecondition\u003c\/em\u003e for use of conventional algorithms, including direct numerical simulation (DNS). In \u003cb\u003eClean Numerical Simulation\u003c\/b\u003e, several conjectures and open problems are proposed, including a modified fourth Clay millennium problem. \u003c\/p\u003e\u003cp\u003eIndeed, CNS opens the door for us to enter the \"clean\" numerical world of chaos and turbulence.\u003c\/p\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Default Title","offer_id":45566121279726,"sku":"9781032288093","price":129.6,"currency_code":"AUD","in_stock":true}],"url":"https:\/\/bookland.com.au\/products\/clean-numerical-simulation-hardback","provider":"Book Land AU","version":"1.0","type":"link"}