Automatic numerical solution of generalized 2-D IHCP by discrete mollification

DOI10.1016/S0898-1221(01)85003-3zbMath0983.65109MaRDI QIDQ5948689

Diego A. Murio, Shenghe Zhan, C. W. Coles

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmstabilityconvergencenumerical examplesfinite differencesgeneralized cross validationinverse heat conduction problemautomatic filteringmodification methodsparse marching scheme

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items

Identification of parameters in the 2-D IHCP ⋮ Simultaneous space diffusivity and source term reconstruction in 2D IHCP

Cites Work

• Identification of parameters in one-dimensional IHCP
• Discrete mollification and automatic numerical differentiation
• Surface fitting and numerical gradient computations by discrete mollification