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Journal of Applied Analysis & Computation· 2026Q2

A SIMPLIFIED ITERATIVE ALGORITHM WITH RELAXATION FACTOR FOR SOLVING AN ANNULAR INVERSE ELECTROCARDIOGRAPHY PROBLEM

Yu Shen, Xiangtuan Xiong

Short summary

A new simplified iterative algorithm with a relaxation factor significantly improves accuracy and stability for solving inverse electrocardiography problems in annular domains.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Introduced a simplified iterative algorithm with a relaxation factor for inverse electrocardiography.
  • The algorithm addresses the Cauchy problem of the Laplace equation in an annular domain.
  • Demonstrated improved computational efficiency, reconstruction accuracy, and numerical stability.
  • Based on the classical Kozlov-Maz’ya iterative framework.

AI-generated from the title and abstract; the full text is not read.

Abstract

This paper presents a simplified iterative algorithm with a relaxation factor for solving the Cauchy problem of Laplace equation in an annular domain, with applications to inverse electrocardiography. Building upon the classical Kozlov-Maz’ya iterative framework, we introduce a new simplified iteration algorithm with the relaxation factor to accelerate convergence. Theoretical analysis and numerical experiments demonstrate that the proposed method maintains computational efficiency while significantly improving reconstruction accuracy and numerical stability.

The authors' abstract, as published at the source. Journal of Applied Analysis & Computation, 2026 · DOI ↗

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Field: Mathematical Physics

Mathematical PhysicsMathematics