document: On quasi-linear PDAEs with convection : applications , indices , numerical solution For a class of partial differential algebraic equations -LRB- PDAEs -RRB- of quasi-linear type which include nonlinear terms of convection type , a possibility to determine a time and spatial index is considered . As a typical example we investigate an application from plasma physics . Especially we discuss the numerical solution of initial boundary value problems by means of a corresponding finite difference splitting procedure which is a modification of a well-known fractional step method coupled with a matrix factorization . The convergence of the numerical solution towards the exact solution of the corresponding initial boundary value problem is investigated . Some results of a numerical solution of the plasma PDAE are given
doc_bio_tags: O O O O B O O O B O B I O O O O O O O O O O O O O O O O O O O B O O O O O O O O O B I O O O O O O O O O O O O B I O O O O O B I O B I I I O O O O O B I I I O O O O O O O B I I O O O B I O O O O O B I O O O O O O O O O O O O O O O O O O B I O O O O O O
extractive_keyphrases: spatial index plasma physics initial boundary value problems finite difference splitting procedure fractional step method matrix factorization convection indices numerical solution
abstractive_keyphrases: quasi-linear partial differential algebraic equations