Positioning itself at the common boundaries of several disciplines, this work provides new perspectives on modern nanoscale problems where fundamental science meets technology and computer modeling. In addition to well-known computational techniques such as finite-difference schemes and Ewald summation, the book presents a new finite-difference calculus of Flexible Local Approximation Methods (FLAME) that qualitatively improves the numerical accuracy in a variety of problems.
Finite-Difference Schemes.- The Finite Element Method.- Flexible Local
Approximation MEthods (FLAME).- Long-Range Interactions in Free Space.-
Long-Range Interactions in Heterogeneous Systems.- Applications in
Nano-Photonics.- Conclusion: Plenty of Room at the Bottom for Computational
Methods.
