We study numerical methods for the one-dimensional inverse problem of reflection seismology. An impulsive plane wave in pressure is applied to the surface of a piecewise smooth stratified elastic half ...

Talbot's method for the numerical inversion of the Laplace transform consists of numerically integrating the Bromwich integral on a special contour by means of the trapezoidal or midpoint rules. In ...

Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

TWO-DIMENSIONAL Fourier synthesis is a most useful tool in the hands of the crystal analyst. A Patterson 1 synthesis, which uses observed intensities directly, is the only way of summarising in one ...

Stochastic control problems in finance often involve complex controls at discrete times. As a result, numerically solving such problems using, for example, methods based on partial differential or ...