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"A concise survey of the current state of knowledge in 1972 about solving elliptic boundary-value eigenvalue problems with the help of a computer. This volume provides a case study in scientific computing -- the art of utilizing physical intuition, mathematical theorems and algorithms, and modern computer technology to construct and explore realistic models of problems arising in the natural sciences and engineering."

"The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field. The course aimed to show the deep connections between these topics and to open new research directions through the contributions of leading experts in all of these fields."

"A study of the art and science of solving elliptic problems numerically, with an emphasis on problems that have important scientific and engineering applications, and that are solvable at moderate cost on computing machines."

"This compact yet thorough tutorial is the perfect introduction to the basic concepts of solving partial differential equations (PDEs) using parallel numerical methods. In just eight short chapters, the authors provide readers with enough basic knowledge of PDEs, discretization methods, solution techniques, parallel computers, parallel programming, and the run-time behavior of parallel algorithms to allow them to understand, develop, and implement parallel PDE solvers. Examples throughout the book are intentionally kept simple so that the parallelization strategies are not dominated by technical details.A Tutorial on Elliptic PDE Solvers and Their Parallelization is a valuable aid for learning about the possible errors and bottlenecks in parallel computing. One of the highlights of the tutorial is that the course material can run on a laptop, not just on a parallel computer or cluster of PCs, thus allowing readers to experience their first successes in parallel computing in a relatively short amount of time."

"Kriptografi kurva eliptik dapat digunakan untuk pertukaran kunci, enkripsi dan dekripsi, dan tanda tangan digital. Elliptic Curve Digital Signature Algorithm (ECDSA) adalah algoritma penandatanganan digital dan verifikasi yang menggunakan aritmetika kurva eliptik. Smart card adalah kartu yang dilengkapi dengan chip memori dan kemampuan komputasi. Smart card banyak digunakan di berbagai bidang untuk identifikasi dan penyimpanan data. Kriptografi kurva eliptik dianggap sesuai untuk diimplementasikan pada smart card yang memiliki memori dan kemampuan komputasi terbatas. Pemrograman smart card dapat dilakukan dengan teknologi Java Card.Dalam tugas akhir ini penulis menjelaskan kriptografi kurva eliptik dan mengimplementasikan ECDSA atas Galois Field ) 2 ( 163 GF pada smart card dengan menggunakan Java Card. Hasil pengujian menunjukkan bahwa ECDSA dapat digunakan pada smart card untuk penandatanganan digital dan verifikasi. Penggunaan memori untuk verifikasi dan penandatanganan digital hampir setara namun verifikasi memerlukan waktu komputasi dua kali lebih lama daripada penandatanganan digital karena verifikasi membutuhkan dua buah operasi perkalian skalar pada kurva eliptik sedangkan penandatanganan digital hanya memerlukan sebuah operasi perkalian skalar."