{"product_id":"parallel-multigrid-waveform-relaxation-for-parabolic-problems-teubner-skripten-zur-numerik-german-edition-3519027178","title":"Parallel Multigrid Waveform Relaxation for Parabolic Problems (Teubner Skripten zur Numerik) (German Edition)","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 3519027178\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Vandewalle, Stefan\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eWetenschap is meer dan het object dat zij bestudeert. Wetenschap is ook de weg naar de ontdekking, en bovendien, wetenschap is ook het verhaaJ van de ontdekkingsreis. -Po Thielen Focus research, Nr 10-11, juli 1991. The numerical solution of a parabolic partial differential equation is usually calcu- lated by using a time-stepping method. This precludes the efficient use of parallelism and vectorization, unless the problem to be solved at each time-level is very large. This monograph investigates the use of an algorithm that overcomes the limitations of the standard schemes by calculating the solution at many time-levels, or along a continuous time-window simultaneously. The algorithm is based on waveform relazation, a highly parallel technique for solving very large systems of ordinary differential equations, and multigrid, a very fast method for solving elliptic partial differential equations. The resulting multigrid waveform relazation method is applicable to both initial boundary value and time-periodic parabolic problems. We analyse in this book theoretical and practical aspects of the multigrid waveform relaxation algorithm. Its implementation on a distributed memory message-passing computer and its computational complexity (arithmetic complexity, communication complexity and potential for vectorization) are studied. The method has been im- plemented and extensively tested on a hypercube multiprocessor with vector nodes. Results of numerical experiments are given, which illustrate a severalfold performance gain when compared to parallel implementations of a variety of standard initial bound- ary value and time-periodic solvers.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":51915693687072,"sku":"NEW3519027178","price":53.99,"currency_code":"USD","in_stock":false}],"url":"https:\/\/miakarts.com\/products\/parallel-multigrid-waveform-relaxation-for-parabolic-problems-teubner-skripten-zur-numerik-german-edition-3519027178","provider":"Miakarts Books","version":"1.0","type":"link"}