Computing the solution of the Korteweg-de Vries equation with arbitrary precision on Turing machines

DOI10.1016/j.tcs.2004.11.005zbMath1079.03034OpenAlexW2059334683MaRDI QIDQ1770395

Ning Zhong, Weihrauch, Klaus

Publication date: 6 April 2005

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2004.11.005

zbMATH Keywords

Sobolev spacesinitial value problemKdV equationTuring machinecomputable operatortype 2 theory of effectivity

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Constructive and recursive analysis (03F60) Applications of computability and recursion theory (03D80)

Related Items (11)

On Computability of Navier-Stokes’ Equation ⋮ Computing Schrödinger propagators on type-2 Turing machines ⋮ On the computational complexity of the Dirichlet Problem for Poisson's Equation ⋮ Computability of the Solutions to Navier-Stokes Equations via Effective Approximation ⋮ Complexity of Blowup Problems ⋮ Computing Solutions of Symmetric Hyperbolic Systems of PDE's ⋮ Computing the Solution of the m-Korteweg-de Vries Equation on Turing Machines ⋮ Computable Analysis of the Abstract Cauchy Problem in a Banach Space and Its Applications (I) ⋮ Computability aspects for 1st-order partial differential equations via characteristics ⋮ Computable analysis of a boundary-value problem for the generalized KdV-Burgers equation ⋮ Computability of Differential Equations

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