J. Fourier, Théorie Analytique de la Chaleur, J. Gabay, issue.2, 1988.
DOI : 10.14711/spcol/b458351
URL : https://babel.hathitrust.org/cgi/imgsrv/download/pdf?id=nnc1.cu50558870;orient=0;size=100;seq=11;attachment=0

S. Kirkpatrick, J. Lee, T. Olive, H. Batters, J. Callaham et al., Complex heat transfer solved by electrical analogy, Chemical and Metallurgical Engineering, vol.50, issue.12, pp.111-113, 1943.

D. I. Lawson and J. H. Mcguire, The solution of transient heat-flow problems by analogous electrical networks, Proceedings of the Institution of Mechanical Engineers, vol.167, issue.1, pp.275-290, 1953.

A. F. Robertson and D. Gross, An electrical-analog method for transient heat-flow analysis, Journal of Research of the National Bureau of Standards, vol.61, issue.2, p.3, 1958.
DOI : 10.6028/jres.061.016
URL : https://doi.org/10.6028/jres.061.016

N. Mendes, M. Chhay, J. Berger, and D. Dutykh, Numerical methods for diffusion phenomena in building physics, vol.2, p.24, 2016.

G. Fraisse, C. Viardot, O. Lafabrie, and G. Achard, Development of a simplified and accurate building model based on electrical analogy, Energy and Buildings, vol.34, issue.10, p.7, 2002.

J. H. Kampf and D. Robinson, A simplified thermal model to support analysis of urban resource flows, Energy and Buildings, vol.39, issue.4, pp.445-453, 2007.

I. Naveros and C. Ghiaus, Order selection of thermal models by frequency analysis of measurements for building energy efficiency estimation, Applied Energy, vol.2, p.7, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01289390

S. Roels, P. Bacher, G. Bauwens, S. Castaño, H. Jiménez et al., On site characterisation of the overall heat loss coefficient: comparison of different assessment methods by a blind validation exercise on a round robin test box, Energy and Buildings, vol.153, issue.2, pp.179-189, 2017.

M. J. Jimenez, B. Porcar, and M. R. Heras, Application of different dynamic analysis approaches to the estimation of the building component U value, Building and Environment, vol.44, issue.2, p.6, 2009.

J. Berger, H. R. Orlande, N. Mendes, and S. Guernouti, Bayesian inference for estimating thermal properties of a historic building wall, Building and Environment, vol.106, issue.2, pp.327-339, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01819322

J. Berger, S. Gasparin, D. Dutykh, and N. Mendes, Accuracy of numerical methods applied to building energy performance, Building Simulation, issue.2

S. I. Kabanikhin, Definitions and examples of inverse ill-posed problems, vol.16, pp.317-357, 2008.

S. I. Kabanikhin, Inverse and ill-posed problems: theory and applications, 2011.

J. Berger, S. Gasparin, D. Dutykh, and N. Mendes, On the solution of coupled heat and moisture transport in porous material, Transport in Porous Media, vol.121, issue.3, pp.665-702, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01770386

A. Nayfeh, Perturbation Methods, 2000.

W. Kahan and J. Palmer, On a proposed floating-point standard, ACM SIGNUM Newsletter, vol.14, issue.5, pp.13-21, 1979.
DOI : 10.1145/1057520.1057522

E. C. Fort and S. P. Frankel, Stability conditions in the numerical treatment of parabolic differential equations, Mathematical Tables and Other Aids to Computation, vol.7, issue.43, pp.135-152, 1953.

P. J. Taylor, The stability of the Dufort-Frankel method for the diffusion equation with boundary conditions involving space derivatives, The Computer Journal, vol.13, issue.1, pp.1-92, 1970.

S. Gasparin, J. Berger, D. Dutykh, and N. Mendes, Stable explicit schemes for simulation of nonlinear moisture transfer in porous materials, Journal of Building Performance Simulation, vol.11, issue.2, pp.129-144, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01404578

S. Gasparin, J. Berger, D. Dutykh, and N. Mendes, An improved explicit scheme for whole-building hygrothermal simulation, Building Simulation, vol.11, issue.3, pp.465-481, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01495737

M. G. Davies, Building Heat Transfer, 2004.

A. H. Deconinck and S. Roels, Comparison of characterisation methods determining the thermal resistance of building components from onsite measurements, Energy and Buildings, vol.130, issue.6, pp.309-320, 2016.

G. Reynders, J. Diriken, and D. Saelens, Quality of grey-box models and identified parameters as function of the accuracy of input and observation signals, Energy and Buildings, vol.82, issue.6, pp.263-274, 2014.

E. Walter and Y. Lecourtier, Global approaches to identifiability testing for linear and nonlinear state space models, Mathematics and Computers in Simulation, vol.24, issue.6, pp.472-482, 1982.

T. A. Driscoll, N. Hale, and L. N. Trefethen, Chebfun guide, 2014.

J. V. Beck and K. J. Arnold, Parameter Estimation in Engineering and Science, 1977.

M. , N. Ozisik, and H. R. Orlande, Inverse Heat Transfer: Fundamentals and Applications, 2000.

S. I. Kabanikhin, A. Hasanov, and A. V. Penenko, A gradient descent method for solving an inverse coefficient heat conduction problem, Numerical Analysis and Applications, vol.1, issue.1, pp.34-45, 2008.

, A.1 Estimation of the volumetric heat capacity