The strategy of Divide-and-Conquer (D&C) is one of the frequently used programming patterns to design efficient algorithms in computer science, which has been parallelized on shared memory systems and distributed memory systems.
The abstraction and formulation enable us to incorporate efficient techniques in computer science into this application, which leads to a heap-based sequential algorithm of O(N log N) time in one typical collision step, where N is the number of particles of the simulated collision system.
The series of estimates is evaluated using computer tools, which recently became an efficient method in computer-assisted proofs [25].
Such spline interpolations are a useful and efficient tool in computer-aided design when control of tension on intervals connecting interpolation points is needed.
This design proved to be far more efficient in terms of computer resources and reduced the security issues.
The proposed method is efficient in terms of computer storage and processing time as well as the ease in data input and modifications.
We study in this context the L-BFGS-B method, or the limited memory Broyden Fletcher Goldfarb Shanno with boundaries, which is a sophisticated yet efficient optimization method widely used in computer graphics as well as general scientific computation.
The method has been found to be very efficient in terms of both computer time and storage.
This algorithm was found to be not only adaptive enough for tracing angiogenic vasculature, but also very efficient in its use of computer memory, and fast, taking less than 1 min to trace a 768 × 512 × 32, 8-bit/pixel 3-D image stack on a Dell Pentium III 1-GHz computer.
To utilize the on-chip resources in an efficient manner, computer architects need to consider new design paradigms that effectively leverage the advantages of modern semiconductor technology.
This limits the application of these techniques to models that can be implemented in computationally efficient computer codes.
