Numerical Methods for Singularly Perturbed Differential Equations with Applications.

During the period covered by this report, the investigator continued his research on the development and application of numerical methods for singularly-perturbed or stiff boundary value problems for ordinary differential equations. Results were obtained for collocation and finite difference methods for scalar and vector systems of two-point boundary value problems and for adaptive grid finite element methods for partial differential equations. His exponentially weighted finite element and spline in tension methods are being applied to partial differential equations as well as to ordinary differential equations. Author