Cognitive functions and EEG correlates will be thoroughly assessed in schizophrenia patients undergoing a tDCS treatment and compared with patients receiving a placebo stimulation. The treatment will involve 20 minutes of tDCS application to the left prefrontal and temporo-parietal cortex, twice a day for five days, a procedure shown to be effective in improving other symptoms of psychosis such as negative symptoms and hallucinations. Critically, in addition to standard neuropsychological testing, cognitive assessments will involve tasks that tap cognitive control and working memory, impairments in which comprise two of the core cognitive disturbances in schizophrenia and which have been linked to brain rhythm disturbances measurable by EEG recordings. Investigators will also assess changes in functional outcome by tDCS and investigate relationships between improvements in cognition, brain rhythms and functional outcome. All these assessments will occur just prior to tDCS application, just after completion of the tDCS series, and then again at 2 months follow-up. There will be two separate independent groups of patients who will be randomized to active versus sham treatments. The first group will have early course schizophrenia (less than 5 years of antipsychotic treatment; n=40). The second group will be chronic schizophrenia (greater than 5 years of antipsychotic treatment; n=40).