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Numerical Solution of the Cauchy Problem for the Helmholtz Equation Using Nesterov’s Accelerated Method

In this paper, the Cauchy problem for the Helmholtz equation, also known as the continuation problem, is considered. The continuation problem is reduced to a boundary inverse problem for a well-posed direct problem. A generalized solution to the direct problem is obtained and an estimate of its stab...

Ausführliche Beschreibung

Gespeichert in:
Hauptverfasser: Syrym E. Kasenov, Aigerim M. Tleulesova, Ainur E. Sarsenbayeva, Almas N. Temirbekov
Format: Artigo
Sprache:Inglês
Veröffentlicht: MDPI AG 2024-08-01
Schriftenreihe:Mathematics
Schlagworte:
Helmholtz equation
Cauchy problem
inverse problem
Nesterov method
numerical solution
Online-Zugang:https://www.mdpi.com/2227-7390/12/17/2618
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