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.
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
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.
Utilizes a two-tiered style of exposition: intuitive explanation of key principles in the first tier and further technical details in the second
Bridges the gap between physics and engineering and computer science
Presents the fundamentals of computational methods, electromagnetic theory, colloidal systems and photonic structures together with applications
Covers "hot topics" in photonics, plasmonics, and metamaterials