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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 23, 1993 - Issue 1
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Original Articles

SLOWLY DIVERGENT SPACE MARCHING SCHEMES IN THE INVERSE HEAT CONDUCTION PROBLEM

Pages 111-126 | Received 27 Dec 1991, Accepted 12 Mar 1992, Published online: 16 Apr 2007

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Mary Nanfuka, Fredrik Berntsson & Godwin Kakuba. (2022) Solving a Cauchy problem for the heat equation using cubic smoothing splines. Applicable Analysis 101:14, pages 4882-4897.
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Y.Y. Chen, J.I. Frankel & M. Keyhani. (2014) A new nonlinear surface heat flux calibration method based on Kirchhoff transformation and rescaling principles. Inverse Problems in Science and Engineering 22:8, pages 1394-1421.
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Kumar Nishant Ranjan Sinha, Durgesh Ranjan, Md. Qaisar Raza, Nirbhay Kumar, Swapnil Kaner, Atul Thakur & Rishi Raj. (2019) In-situ acoustic detection of critical heat flux for controlling thermal runaway in boiling systems. International Journal of Heat and Mass Transfer 138, pages 135-143.
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Hong-chu Chen. (2019) Resolving double-sided inverse heat conduction problem using calibration integral equation method用基于校准积分方程的方法解决双面导热反问题. Journal of Central South University 26:8, pages 2100-2108.
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Hongchu Chen, Jay I. Frankel & Majid Keyhani. (2018) Two-probe calibration integral equation method for nonlinear inverse heat conduction problem of surface heat flux estimation. International Journal of Heat and Mass Transfer 121, pages 246-264.
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J.A. Myrick, M. Keyhani & J.I. Frankel. (2017) Determination of surface heat flux and temperature using in-depth temperature data – Experimental verification. International Journal of Heat and Mass Transfer 111, pages 982-998.
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Y. Y. Chen, J. I. Frankel & M. Keyhani. (2017) A new front surface heat flux calibration method for a 1-D nonlinear thermal system with a time-varying back boundary condition. Journal of Engineering Mathematics 105:1, pages 157-187.
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J. A. Myrick, M. Keyhani & J. I. Frankel. (2016) Inverse Prediction of Temperature Through Time Rescaling of High-Temperature Experimental Data. Journal of Thermal Science and Engineering Applications 8:4.
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Hongchu Chen, Jay I. Frankel & Majid Keyhani. (2016) Two-dimensional formulation for inverse heat conduction problems by the calibration integral equation method (CIEM). Applied Mathematical Modelling 40:13-14, pages 6588-6603.
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Y. Y. Chen, J. I. Frankel & M. Keyhani. (2016) Nonlinear, Rescaling-Based Inverse Heat Conduction Calibration Method and Optimal Regularization Parameter Strategy. Journal of Thermophysics and Heat Transfer 30:1, pages 67-88.
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Chein-Shan Liu & Chih-Wen Chang. (2015) A simple algorithm for solving Cauchy problem of nonlinear heat equation without initial value. International Journal of Heat and Mass Transfer 80, pages 562-569.
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Yinyuan Chen, Jay I. Frankel & Majid Keyhani. (2014) A Nonlinear, Rescaling Based Inverse Heat Conduction Calibration Method and Optimal Regularization Parameter Strategy. A Nonlinear, Rescaling Based Inverse Heat Conduction Calibration Method and Optimal Regularization Parameter Strategy.
Liang Yan, Chu‐Li Fu & Fang‐Fang Dou. (2008) A computational method for identifying a spacewise‐dependent heat source. International Journal for Numerical Methods in Biomedical Engineering 26:5, pages 597-608.
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Bryan Elkins, Majid Keyhani & Jay Frankel. (2008) A new Fully Implicit Heat Conduction Method. A new Fully Implicit Heat Conduction Method.
Lars Eldén, Fredrik Berntsson & Teresa Reginska. (2000) Wavelet and Fourier Methods for Solving the Sideways Heat Equation. SIAM Journal on Scientific Computing 21:6, pages 2187-2205.
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Lars Eldén & Fredrik Berntsson. 1998. Inverse Problems in Engineering Mechanics. Inverse Problems in Engineering Mechanics 3 10 .
L. Elde´n. (1997) Solving an Inverse Heat Conduction Problem by a “Method of Lines”. Journal of Heat Transfer 119:3, pages 406-412.
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. 1997. Non-Standard and Improperly Posed Problems. Non-Standard and Improperly Posed Problems 284 300 .
Karen A. Ames & Brian Straughan. 1997. Non-Standard and Improperly Posed Problems. Non-Standard and Improperly Posed Problems 1 33 .
L Elden. (1995) Numerical solution of the sideways heat equation by difference approximation in time. Inverse Problems 11:4, pages 913-923.
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