Conformal geometry examines transformations that preserve angles, revealing deep interrelations between geometry and analysis. When combined with nonlinear elliptic equations—which are characterised ...

Various time-series decomposition techniques, including wavelet transform, singular spectrum analysis, empirical mode decomposition and independent component analysis, have been developed for ...

Recent decades have witnessed a bloom in research at the interface of complex geometry and nonlinear partial differential equations. This interdisciplinary field explores the deep and intricate ...

Here's when to use linear-static FEA and when to use a nonlinear program. Most engineering problems contain nonlinear effects. Take a paper clip, for example. Push on one end hard enough and the clip ...

Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...

Linear finite-element analysis does not provide enough information about buckling to make correct design decisions, especially when designing lightweight components ...