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An operator Newton method for the Stefan problem based on smoothing: A local perspective

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Publication:803432
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DOI10.1016/0021-9045(90)90053-SzbMath0727.35143MaRDI QIDQ803432

Joseph W. Jerome

Publication date: 1990

Published in: Journal of Approximation Theory (Search for Journal in Brave)


zbMATH Keywords

convergenceNewton methodtwo-phase Stefan problemregularized equations


Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35) Free boundary problems for PDEs (35R35)


Related Items (1)

Simulation of one method of laser welding of metal plates involving an SHS-reacting powder mixture




Cites Work

  • Approximate Newton methods and homotopy for stationary operator equations
  • Approximation of nonlinear evolution systems
  • Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
  • Error Analysis of the Enthalpy Method for the Stefan Problem
  • Error Estimates for the Multidimensional Two-Phase Stefan Problem




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