{"product_id":"collocation-methods-for-the-numerical-bifurcation-analysis-von-hamid-sharifi","title":"COLLOCATION METHODS FOR THE NUMERICAL BIFURCATION ANALYSIS","description":"\u003cp\u003eThe study of nonlinear phenomena has been an  important endeavor for scientists. Some nonlinear  phenomena can be modeled mathematically as nonlinear  partial differential equations (PDEs). There are no  analytical solutions for most nonlinear PDEs.  Therefore, an appropriate numerical method must be  used in order to compute an adequate approximate  solution. A new class of numerical methods, called  Finite Element Collocation Methods with  Discontinuous Piecewise Polynomials, can be used  for solving nonlinear elliptic PDE. In this book,  this method has been generalized for solving  nonlinear elliptic PDE systems using an alternative  nested dissection solution procedure. Using a  modified formulation of the pseudo-arclength  continuation method, we have used this method in  continuation studies and in the numerical  bifurcation analysis of nonlinear PDE systems. In  this book the method is introduced gradually,  starting with the simplest case, linear ODE BVPs,  followed by nonlinear ODE BVPs, linear scalar PDEs,  nonlinear scalar PDEs, continuation problems in  nonlinear scalar PDEs, and, finally, continuation  problems for systems of nonlinear PDEs.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838351940\"\u003e\u003ch3\u003eOF SYSTEMS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838351940","offer_id":39499105501277,"sku":"9783838351940","price":79.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/f1bc5f50-ee00-4711-9c40-ef9a1c830f76.jpg?v=1757742425","url":"https:\/\/shop.autorenwelt.de\/en\/products\/collocation-methods-for-the-numerical-bifurcation-analysis-von-hamid-sharifi","provider":"Autorenwelt Shop","version":"1.0","type":"link"}