Langbeschreibung
In this monograph, leading researchers inthe world of numerical analysis, partial differential equations, and hardcomputational problems study the properties of solutions of the Navier-Stokes partialdifferential equations on (x, y, z, t) ¿ R3× [0, T]. Initially converting the PDE to asystem of integral equations, the authors then describe spaces A of analytic functions that housesolutions of this equation, and show that these spaces of analytic functionsare dense in the spaces S of rapidlydecreasing and infinitely differentiable functions. This method benefits fromthe following advantages:
Inhaltsverzeichnis
Preface.- Introduction, PDE, and IE Formulations.- Spaces of Analytic Functions.- Spaces of Solution of the N-S Equations.- Proof of Convergence of Iteration 1.6.3.- Numerical Methods for Solving N-S Equations.- Sinc Convolution Examples.- Implementation Notes.- Result Notes.