Numerical accuracy of real inversion formulas for the Laplace transform

In this article, we investigate and compare a number of real inversion formulas for the Laplace transform. The focus is on the accuracy and applicability of the formulas for numerical inversion. In this contribution, we study the performance of the formulas for measures concentrated on a positive half-line to continue with measures on an arbitrary half-line. As our trial measure concentrated on a positive half-line, we take the broad Gamma probability distribution family. (C) 2009 Elsevier B.V. All rights reserved

The bells of the Stellenbosch Moederkerk

CITATION: De Wet, T., Teugels, J. L. & Van Deventer, P. 2018. The bells of the Stellenbosch Moederkerk. Studia Historiae Ecclesiasticae, 44(3):1-19, doi:10.25159/24124265/4338.The original publication is available at http://www.scielo.org.zaThe Dutch Reformed Moederkerk of Stellenbosch has a long history, being the second oldest congregation of the Dutch Reformed Church in South Africa. The history of the church has been well documented, including the architecture and building of the church buildings over its 332 years of existence. However, although bells have from the beginning played an important part in the church's history, very little has been written on the bells. This paper reports on research carried out into that important aspect of the church's life, in that way adding to Moederkerk's recorded history.Publisher's versio

Historic bells in Moravian Missions in South Africa's Western Cape

CITATION: De Wet, T., Teugels, J. L. & Van Deventer, P. 2014. Historic bells in Moravian Missions in South Africa's Western Cape. Historia, 59(2):94-119.The original publication is available at http://www.scielo.org.zaThe Moravian Church was the first denomination to begin with missionary work among the indigenous people in South Africa and today the church still has a very strong presence in the country. After opening their first mission at Genadendal in 1738, a number of further mission stations were established during the nineteenth century in the Western Cape. These missionary stations played an extremely important part in the lives of their residents, both spiritually and socially. In the Moravian Church, as in other churches, their church buildings and the bells accompanying them form an integral part of their heritage. Despite the research that has been carried out on the mission stations per se, no systematic research has been done on the bells at these stations. In this article we discuss these bells, when and where they came from, and who made them. Due to the historical value of these mission stations, we cannot consider the bells without some background discussion of the stations' history. A brief historical background is provided for each station before focusing on the bells at that station and who cast them. Finally, a number of areas for further research are touched upon.Die Morawiese kerk was die eerste kerkgenootskap wat met sendingwerk onder die inheemse bevolkings van Suid Afrika begin het en vandag het die kerk steeds 'n baie sterk teenwoordigheid in die land. Na die stigting van die eerste sendingstasie te Genadendal in 1738, is 'n aantal verdere sendingstasies gedurende die 19de eeu in die Wes Kaap gevestig. Hierdie sendingstasies het 'n uiters belangrike rol gespeel in die lewens van hul inwoners, op geestelike sowel as sosiale vlak. In die Morawiese Kerk, soos in ander kerke, vorm die kerkgeboue met hul klokke 'n integrale deel van hul erfenis. Ten spyte van vele navorsing wat oor sendingstasies gedoen is, is daar geen sistematiese navorsing oor die klokke op hierdie stasies uitgevoer nie. As gevolg van die historiese waarde van hierdie sendingstasies kan ons nie hul klokke bespreek sonder 'n agtergrond bespreking van die stasies se geskiedenis nie. Dit word vir elke stasie gedoen voordat op die klokke by die stasie gefokus word. Ten slotte word 'n aantal verdere navorsingsareas aangedui.http://www.scielo.org.za/scielo.php?script=sci_arttext&pid=S0018-229X2014000200007&lng=en&nrm=isoPublisher's versio