An Accelerated Splitting-up Method for Parabolic Equations
نویسندگان
چکیده
منابع مشابه
An Accelerated Splitting-up Method for Parabolic Equations
We approximate the solution u of the Cauchy problem ∂ ∂t u(t, x) r f r. Under natural conditions on solvability in the Sobolev spaces W m p , we show that for any k > 1 one can approximate the solution u with an error of order δ k , by an appropriate combination of the solutions v r along a sequence of time discretization, where δ is proportional to the step size of the grid. This result is obt...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2005
ISSN: 0036-1410,1095-7154
DOI: 10.1137/s0036141003437903