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. This book covers the new topic of GPU computing with many applications involved, taken from diverse fields such as networking, seismology, fluid mechanics, nano-materials, data-mining , earthquakes ,mantle convection, visualization. It will show the public why GPU computing is important and easy to use. It will offer a reason why GPU computing is useful and how to implement codes in an everyday situation.