Update client README.md UQLab

clients/README.md

@@ -563,3 +563,44 @@ which indeed returns `Ev = 2.9948`, i.e., close to 3 as expected. The script the
 [Full example sources here.](https://github.com/UM-Bridge/umbridge/blob/main/clients/matlab/sgmkClient.m)
 
 
+## UQLab client
+
+UQLab is a general purpose Uncertainty Quantification framework based on Matlab. It is made of open-source scientific modules which are smoothly connected to perform uncertainty quantification through Monte Carlo simulation, sensitivity analysis, reliability analysis (computation of rare event probabilities), surrogate models (polynomial chaos expansions, Kriging, etc.), Bayesian inversion/calibration and many more.
+
+UQLab fully supports UM-Bridge models. After registering at [UQLab](https://www.uqlab.com/), downloading and installing UQLab as indicated on the UQLab website, you can start UQLab using
+
+```
+uqlab
+```
+
+Add UM-Bridge to your Matlab path and create an UM-Bridge model as in the section [Matlab client](https://um-bridge-benchmarks.readthedocs.io/en/docs/umbridge/clients.html#matlab-client) above:
+
+```matlab
+addpath(fullfile('\YOUR\FULL\PATH\TO\UMBRIDGE\INSTALLATION', 'matlab')) % modify with the correct path
+model = HTTPModel('http://localhost:4243', 'forward');
+```
+
+The following lines create the corresponding UQLab model object:
+
+```matlab
+ModelOpts.mHandle = @(X) model.evaluate(X);
+EulerBernoulliBeamModel = uq_createModel(ModelOpts);
+```
+
+Additional parameters can also be passed to the model, see the [UQLab User Manual: The Model Module](https://uqftp.ethz.ch/uqlab_doc_pdf/2.1.0/UserManual_Model.pdf), Section 2.1.4.
+
+The model can now be evaluated for one or more sets of input parameters. For example, the three-dimensional Euler-Bernoulli beam model with parameter space [1.00 ,1.05]^3 can be evaluated at two parameter sets as follows:
+
+```matlab
+X = [1.00, 1.00, 1.01; ...
+     1.04, 1.01, 1.05];
+Y = uq_evalModel(EulerBernoulliBeamModel, X);
+```
+
+Each row of `X` and `Y` correspond to one set of input parameters.
+In general, let `N` denote the number of sample sets, and let `N_in` and `N_out` denote the input and output dimension of the model, respectively.
+Then `X` has dimension `N x N_in`, and `Y` has dimension `N x N_out`.
+
+The UQLab model object can be used further for all types of UQ analyses, as explained in detail in the [UQLab documentation](https://www.uqlab.com/documentation).
+
+[Full example sources here.](https://github.com/UM-Bridge/umbridge/blob/UQLab/clients/matlab/uqlabClient.m)

clients/matlab/uqlabClient.m

@@ -0,0 +1,20 @@
+%% Using the UQLab client together with UM-Bridge
+
+addpath(fullfile('\YOUR\FULL\PATH\TO\UMBRIDGE\INSTALLATION', 'matlab')) % modify with the correct path
+model = HTTPModel('http://localhost:4243', 'forward');
+
+% The following lines create the corresponding UQLab model object:
+ModelOpts.mHandle = @(X) model.evaluate(X);
+EulerBernoulliBeamModel = uq_createModel(ModelOpts);
+
+% Additional parameters can also be passed to the model, see the UQLab User 
+% Manual: The Model Module, Section 2.1.4
+% (https://uqftp.ethz.ch/uqlab_doc_pdf/2.1.0/UserManual_Model.pdf).
+
+% The model can now be evaluated for one or more sets of input parameters. 
+% For example, the three-dimensional Euler-Bernoulli beam model with 
+% parameter space [1.00 ,1.05]^3 can be evaluated at two parameter sets as 
+% follows:
+X = [1.00, 1.00, 1.01; ...
+     1.04, 1.01, 1.05];
+Y = uq_evalModel(EulerBernoulliBeamModel, X);