Any problem numbers listed come from the course text:
Beers, Kenneth. Numerical Methods for Chemical Engineering: Applications in MATLAB®. New York, NY: Cambridge University Press, November 2006. ISBN: 9780521859714.
Assignment solutions courtesy of Mark Styczynski and Ben Wang, Course TAs. Used with permission.
| PROBLEM SETS | TOPICS | SOLUTIONS | RELATED FILES |
|---|---|---|---|
| PSet 1 | MATLAB® Programming, Chapter 10, Problems 1-5 | ( PDF) | |
| PSet 2 | Linear Algebra (PDF) | (PDF) | sep_system_example.m (M), simple_1D_flow.m (M) |
| PSet 3 | Nonlinear Algebraic Systems (PDF) | (PDF) | calc_f_ex1.m (M), CSTR_2D_NAE.m (M), CSTR_SS_ex1.m (M), Newton_2D_test.m (M), polycond_CSTR.m (M), polymer_flow_1D.m (M), reduced_Newton.m (M), search_bifurcation.m (M) |
| PSet 4 | Matrix Eigenvalue Analysis (PDF) | (PDF) | animate_2D_vib.m (M), lattice_2D_vib.m (M), quantum_1D.m (M), test_Gershgorin.m (M) |
| PSet 5 | ODE Initial Value Problems (PDF) | (PDF) | arclength_continuation.m (M), fit_enzyme_batch_sim1.m (M), generate_phase_plots_ex.m (M), hermite_ex.m (M), nonisothermal_CSTR_calc_f.m (M), nonisothermal_CSTR_Da_scan.m (M), PBR_DAE_sim.m (M), QSSA_ex.m (M) |
| PSet 6 | Numerical Optimization (PDF) | (PDF) | control_1D_HJB.m (M), ellipse_min.m (M), gradient_minimizer.m (M), optimal_control.m (M), optimal_design_CSTR.m (M), simple_cost_func.m (M), test_optimal_control.m (M) |
| PSet 7 | Boundary Value Problems (PDF) | (PDF 1) (PDF 2) | BVP_2D_Poisson_FD.m (M), BVP_2D_Poisson_FD_cg.m (M), BVP_field_Jpattern.m (M), catalyst_nonisothermal_scan.m (M), cholinc_pcg_test.m (M), f_2D_uniform.m (M), pde_ex1.m (M), pde_ex1_bound.m (M), polygon1_geom.m (M), stove_top_3D_FD.m (M), tubular_reactor_2rxn_dyn_sim.m (M), tubular_reactor_2rxn_SS.m (M) |
| PSet 8 | Brownian Dyamics and Monte Carlo Simulation (PDF) | (PDF) | BD_1D.m (M), genetic_minimizer.m (M), global_min_cost_func.m (M), Ising_lattice_MC.m (M), make_Ising_lattice_MC_movie.m (M), MC_NVT_sim1.m (M), simulated_annealing.m (M), TDGL_A_2D.m (M), test_simulated_annealing.m (M) |
| PSet 9 | Fitting a Model to a Single Set of Data (PDF) | (PDF) | batch_kinetics_dynamics_ex.m (M), Bayes_1D_HPD_MR.m (M), Bayes_1D_HPD_SR.m (M), Bayes_2D_HPD_MR.m (M), Bayes_2D_HPD_SR.m (M), Bayes_MCMC_1Dmarginal_MR.m (M), Bayes_MCMC_1Dmarginal_MRSL.m (M), Bayes_MCMC_1Dmarginal_SR.m (M), Bayes_MCMC_2Dmarginal_MR.m (M), Bayes_MCMC_2Dmarginal_MRSL.m (M), Bayes_MCMC_2Dmarginal_SR.m (M), Bayes_MCMC_pred_MR.m (M), Bayes_MCMC_pred_MRSL.m (M), Bayes_MCMC_pred_SR.m (M), calc_g_1Dinterval.m (M), calc_MRSL_posterior.m (M), calc_yhat_kinetic_ex1.m (M), calc_yhat_linear_model.m (M), calc_Yhat_reaction_ex_dynamic_MR.m (M), sim_anneal_MR.m (M), sim_anneal_MRSL.m (M) |