Evaluation of Numerical Solution Schemes for Differential Equations

Differential equations (ODEs or PDEs) appear in many computer vision fields. Shape from shading, optical flow, optics, and 3D motion are examples of such fields. Solving problems modeled by ODEs and PDEs can be accomplished by finding either an analytical solution, what is in general a difficult task, or by computing a numerical solution to the corresponding discrete scheme. Numerical solutions are usually more easily found with the aid of a computer.