Eigenvalue problems are a cornerstone of modern applied mathematics, arising in diverse fields from quantum mechanics to structural engineering. At their heart, these problems seek scalar values and ...

Numerical and Computational Mathematics is a discipline dedicated to the development and analysis of algorithms that provide approximate solutions to mathematical problems too complex for exact ...

The continuation method is developed with a special emphasis on its suitability for numerical solutions on fast computers. Four problems are treated in detail: finding roots of a polynomial, boundary ...

Continuation of APPM 4650. Examines numerical solution of initial-value problems and two-point boundary-value problems for ordinary differential equations. Also looks at numerical methods for solving ...

Most mathematical models do not admit exact solutions. Asymptotic and perturbation methods provide powerful techniques for obtaining approximate solutions, which allow one to draw physical conclusions ...

The financial industry increasingly relies on large volumes of numerical data as financial products become more complex. As a result, analysts and financial engineers have turned to computational ...