Initial-value problems associated with viscoelasticity in the geosciences.- The geophysical phenomenon of Glacial Isostatic Adjustment.- Initial Value Approach with the MOL.- Elastic and Viscoelastic Responses.- Current Numerical Methods for integrating VIP.- GPU Hardware aspects.- GPU Software aspects.- Philosophy of GPU Implementation of the MOL in VIP problems.- Code conversion versus Code implementation using CUDA or Open CL.- Examples of Postglacial Rebound.- Future Perspectives of VIP on GPU.