U. E. Administration, Annual Energy Outlook, 2015.

T. Bednar and C. Hagentoft, Analytical solution for moisture buffering effect validation exercises for simulation tools, 7th Nordic Symposium on Building Physics, p.19, 2005.

J. Berger, S. Guernouti, M. Woloszyn, and C. Buhe, Factors governing the development of moisture disorders for integration into building performance simulation, Journal of Building Engineering, vol.3, issue.2, pp.1-15, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01819340

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

P. Biddulph, V. Gori, C. Elwell, C. Scott, C. Rye et al., Inferring the thermal resistance and effective thermal mass of a wall using frequent temperature and heat flux measurements, Energy and Buildings, vol.78, pp.10-16, 2014.

R. Cantin, J. Burgholzer, G. Guarracino, B. Moujalled, S. Tamelikecht et al., Field assessment of thermal behaviour of historical dwellings in France, Building and Environment, vol.45, issue.2, pp.473-484, 2010.

C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods -Fundamentals in Single Domains. Scientific Computation, p.11, 2006.

J. Clarke, Moisture flow modelling within the esp-r integrated building performance simulation system, Journal of Building Performance Simulation, vol.6, issue.5, pp.385-399, 2013.

R. Courant, K. Friedrichs, and H. Lewy, Über die partiellen Differenzengleichungen der mathematischen Physik, Mathematische Annalen, vol.100, issue.1, pp.32-74, 1928.

B. D. Crawley, L. K. Lawrie, F. C. Winkelmann, W. Buhl, Y. Huang et al., Energyplus: creating a new-generation building energy simulation program, Energy and Buildings, vol.33, issue.4, pp.319-331, 2001.

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

A. Deconinck and S. Roels, Comparison of characterisation methods determining the thermal resistance of building components from onsite measurements, Energy and Buildings, vol.130, issue.9, pp.309-320, 2016.

T. A. Driscoll, N. Hale, and L. N. Trefethen, Chebfun guide, p.13, 2014.

G. Fraisse, C. Viardot, O. Lafabrie, A. , and G. , Development of a simplified and accurate building model based on electrical analogy, Energy and Buildings, vol.34, issue.10, p.9, 2002.

S. Gasparin, J. Berger, D. Dutykh, and N. Mendes, Advanced reduced-order models for moisture diffusion in porous media, Transport in Porous Media, vol.0, issue.0, p.26, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01522319

S. Gasparin, J. Berger, D. Dutykh, and N. Mendes, Solving nonlinear diffusive problems in buildings by means of spectral methods, Journal of Building Performance Simulation, vol.0, issue.0, p.26, 2018.

W. Gautschi, Orthogonal Polynomials: Computation and Approximation, 2004.

F. Incropera, D. Dewitt, T. Bergman, and A. Lavine, Fundamentals of Heat and Mass Transfer, 2007.

M. Jimenez, B. Porcar, and M. Heras, Application of different dynamic analysis approaches to the estimation of the building component U value, Building and Environment, vol.44, issue.2, pp.361-367, 2009.

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

A. Kalagasidis, P. Weitzmann, T. Nielsen, R. P. Hagentoft, and C. Rode, The international building physics toolbox in simulink, Energy and Buildings, vol.39, issue.6, pp.665-674, 2007.

K. J. Kircher and K. M. Zhang, On the lumped capacitance approximation accuracy in RC network building models, Energy and Buildings, vol.108, p.31, 2015.

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. Luikov, Heat and Mass Transfer in Capillary-Porous Bodies, 1966.

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

N. Mendes and P. C. Philippi, A method for predicting heat and moisture transfer through multilayered walls based on temperature and moisture content gradients, International Journal of Heat and Mass Transfer, vol.48, issue.1, pp.37-51, 2005.

N. Mendes, F. Winkelmann, R. Lamberts, and P. Philippi, Moisture effects on conduction loads, Energy and Buildings, vol.35, issue.7, pp.631-644, 2003.

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

I. Naveros and C. Ghiaus, Order selection of thermal models by frequency analysis of measurements for building energy efficiency estimation, Applied Energy, issue.3, pp.230-244, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01289390

A. Nayfeh, Perturbation Methods. Wiley VCH, 2000.

R. Peyret, Spectral methods for incompressible viscous flow, 2002.

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.9, pp.263-274, 2014.

A. .. 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, pp.1-12, 1958.

C. Rode and K. Grau, Whole Building Hygrothermal Simulation Model, ASHRAE Transactions, vol.109, issue.1, pp.572-582, 2003.

S. Roels, P. Bacher, G. Bauwens, S. Castaño, . 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.3, pp.179-189, 2017.

L. Shampine and M. Reichelt, The MATLAB ODE suite, SIAM J. Sci. Comput, vol.18, 1997.
URL : https://hal.archives-ouvertes.fr/hal-01333731

G. Soderling and L. Wang, Evaluating numerical ODE/DAE methods, algorithms and software, Journal of Computational and Applied Mathematics, vol.185, issue.13, pp.244-260, 2006.

H. Steeman, M. Van-belleghem, A. Janssens, and M. De-paepe, Coupled simulation of heat and moisture transport in air and porous materials for the assessment of moisture related damage, Building and Environment, vol.44, issue.10, pp.2176-2184, 2009.

F. Tariku, K. Kumaran, and P. Fazio, Transient model for coupled heat, air and moisture transfer through multilayered porous media, International Journal of Heat and Mass Transfer, vol.53, issue.3, pp.3035-3044, 2010.

M. Van-genuchten, A comparison of numerical solutions of the one-dimensional unsaturated-saturated flow and transport equations, Advances in Water Resources, vol.5, issue.1, pp.665-674, 1982.

M. Woloszyn and C. Rode, Tools for performance simulation of heat, air and moisture conditions of whole buildings, Building Simulation, vol.1, issue.1, pp.5-24, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00353433

Z. Yang and B. Becerik-gerber, A model calibration framework for simultaneous multi-level building energy simulation, Applied Energy, vol.149, issue.2, pp.415-431, 2015.