Design of efficient numerical schemes and qualitative properties of solutions of ODEs and PDEs

M VANNINATHAN

Abstract


The paper presents important steps in the approximation of solutions of differential equations and examines crucial issues involved in the process. In particular, the role played by the regularity of solutions in their approximation is emphasized. After highlighting the progress achieved, it speculates on what may be in store for the future.

Keywords


Differential equations; partial differential equations; approximation; numerical analysis.

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