Image Segmentation of the γ'-Phase in Nickelbase Superalloys utilising Deep Learning

Quantitative analysis of material microstructure is a well-known method to derive chemical and physical properties of a sample. This includes the segmentation of e.g. Light Optical Microscopy or Scanning Electron Microscopy images where each pixel is assigned to a material. Since some phases such as the γ-γ’ structure in nickelbased superalloys...

Designing a Quantum Algorithm for Real-Valued Addition Using Posit Arithmetic

Currently there are no efficient quantum algorithms for the addition of real-valued numbers. In classical computers addition is performed by using barrel shifters, a concept proven to be very inefficient as a quantum circuit due to its many garbage outputs when the barrel shifter is made reversible. This thesis aims to design a quantum algorithm...

Posits als vervanging van floating-points: Een vergelijking van Unum Type III Posits met IEEE 754 Floating Points met Mathematica en Python

In dit verslag worden de resultaten van literatuuronderzoek naar de voor- en<br/>nadelen van floats en posits gepresenteerd. Naar aanleiding van de resultaten is de hypothese opgesteld dat posits een goede "drop-in replacement" zouden zijn voor floats vanwege het grotere bereik, de afwezigheid van overflow en underflow en omdat ze enkel één NaN...

Implementation and Analysis of an Algorithm on Positive Integer Addition for Quantum Computing

In this project, an positive integer addition algorithm for quantum computing is analyzed which does not makes use of carry bits. The paper shows a general parallelization method. Using this method, the circuit runs in O(n) time instead of O(n^2). The algorithm is executed with different input sizes and error rates such that usable values are...

Towards a Material Point Method with Powell-Sabin spline basis functions: MPM with higher-order C1-continuous basis functions on triangulations

The material point method (MPM) is a numerical method for simulating ground deformations, that combinesthe benefits of a fixed grid with movingmaterial points, which carry the history dependent information of thecontinuum. During each time step, this information is projected to the grid, on which the equations of motionare solved and a...

Quantum Algorithms and their Implementation on Quantum Computer Simulators

Quantum computation is becoming an increasingly interesting field, especially with the rise of real quantum computers. However, current quantum processors contain a few tens of error-prone qubits and the realization of large-scale quantum computers is still very challenging. Therefore, quantum computer simulators are particularly suitable for...

Solving Poisson's equation with dataflow computing

The finite element method (FEM) is an ubiquitous method for the analysis of boundary value problems. Specifically, it can be used to find approximations to solutions of boundary value problems on a specific domain...

High Performance Data Traversal: Cache Aware Computing With Space Filling Curve

"What Mathematics is to Physics, Data traversal is to High-performance computing." The world of Computational science has witnessed an exponential expansion of sophisticated numerical algorithms in the last few decades mainly to understand minute details and solve complex physical problems. It has established itself as the third pillar of...

A Finite Element Method with Special Edge-Polynomials for Advection Problems

The field of Computational Fluid Dynamics (CFD) is constantly finding new ways to improve simulation results. One of the large challenges in CFD, is advection. Advection dominated flows are governed by hyperbolic equations, which pose severe stability issues. Stabilized methods usually add significant numerical diffusion, which alters the...