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BookDOI

Numerische Mathematik 1

Josef Stoer
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The article was published on 1989-01-01. It has received 2186 citations till now.

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A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems

TL;DR: In this article, a three-stage explicit Runge-Kutta-Nystrom method is developed to integrate second-order differential equations of the form where the solution is oscillatory.

Probabilistic Paths and Centrality in Time

TL;DR: It is shown that shortest paths in a unweighted, discrete graph can be formulated using probabilistic paths with a prior and an algorithm to compute the most likely paths in O ` |V ||E| + |V | 2 log |V| ´ .
Journal ArticleDOI

Numerical Solution of Functional Integral and Integro-Differential Equations by Using B-Splines

TL;DR: In this article, an approximating solution based on Lagrange interpolation and spline functions was proposed to solve functional integral equations of Fredholm type and Volterra type, extended to functional integral and integro-differential equations.
Dissertation

Prostate Segmentation and Regions of Interest Detection in Transrectal Ultrasound Images

Joseph Awad
TL;DR: A fully automatic prostate segmentation algorithm is proposed based on knowledge-based rules and capable of accurately segmenting a prostate gland with any shape and orientation from the ultrasound, which is statistically superior to the other two algorithms.
ReportDOI

Salinas : theory manual.

TL;DR: This manual describes the theory behind many of the constructs in Salinas, a massively parallel implementation of structural dynamics finite element analysis, required for high fidelity, validated models used in modal, vibration, static and shock analysis of structural systems.