{"product_id":"finite-volume-methods-for-deterministic-and-stochastic-pdes-von-yueyuan-gao","title":"Finite volume methods for deterministic and stochastic PDEs","description":"\u003cp\u003eThis thesis bears on numerical methods for deterministic and stochastic partial differential equations; we perform numerical simulations by means of finite volume methods and prove convergence results. In Chapter 1, we apply a semi-implicit time scheme together with the generalized finite volume method SUSHI for the numerical simulation of density driven flows in porous media. In Chapter 2, We perform Monte-Carlo simulations in the one-dimensional torus for the first order Burgers equation forced by a stochastic source term with zero spatial integral. In Chapter 3, we study the convergence of a time explicit finite volume method with an upwind scheme for a first order conservation law with a monotone flux function and a multiplicative source term involving a Q-Wiener process. In Chapter 4, we obtain similar results as in Chapter 3, in the case that the flux function is non-monotone, and that the convection term is discretized by means of a monotone scheme.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783841612380\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783841612380","offer_id":39449611403357,"sku":"9783841612380","price":64.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/5922c2ac-b365-4e6a-9345-09dd53bb710a.jpg?v=1772866531","url":"https:\/\/shop.autorenwelt.de\/products\/finite-volume-methods-for-deterministic-and-stochastic-pdes-von-yueyuan-gao","provider":"Autorenwelt Shop","version":"1.0","type":"link"}