Studies on market trader activism in Africa routinely approach traders' claims-making practices from the perspective of the state's regime of signifying order, in relation to which opposition simply seeks to render itself “legible” (Scott 1998). In contrast, this dissertation contends that one must pay close attention to the multiple significations of order and disorder that exist in any social situation and which, through their continuous permeation, fuel transformations of normative plausibilities and, by extension, of the grounds for claims. With a grounding in the theory of the social and political quality of time, I show how the idea of coeval temporalities sensitises observers to the multiple sources of significations of order and disorder – particularly, with regard to subjects' relation to authority – and their creative adaptation in the moment of temporal convergence. The central marketplace of Accra, the capital of Ghana, provides the context for this study. My empirical analysis of this social arena that is closely connected to global flows of people, capital, consumer items and, inevitably, ideas, including those related to order and associated grounds of entitlement adds to the underappreciated theoretical strand the actor-centred process of translation that engenders creative adaptations between converging coeval temporalities.

The miscible displacement equations provide the mathematical model for simulating the displacement of a mixture of oil and miscible fluid in underground reservoirs during the Enhance Oil Recovery(EOR) process. In this thesis, I propose a stable numerical scheme combining a mixed finite element method and space-time discontinuous Galerkin method for solving miscible displacement equations under low regularity assumption. Convergence of the discrete solution is investigated using a compactness theorem for functions that are discontinuous in space and time. Numerical experiments illustrate that the rate of convergence is improved by using a high order time stepping method. For petroleum engineers, it is essential to compute finely detailed fluid profiles in order to design efficient recovery procedure thereby increase production in the EOR process. The method I propose takes advantage of both high order time approximation and discontinuous Galerkin method in space and is capable of providing accurate numerical solutions to assist in increasing the production rate of the miscible displacement oil recovery process.

In this thesis, high order accurate discretization schemes for partial differential equations are investigated. In the first paper, the linearized two-dimensional Navier-Stokes equations are considered. A special formulation of the boundary conditions is used and estimates for the solution to the continuous problem in terms of the boundary conditions are derived using a normal mode analysis. Similar estimates are achieved for the discretized equations. For the discretization, a second order finite difference scheme on a staggered mesh is used. In Paper II, the analysis for the second order scheme is used to develop a fourth order scheme for the fully nonlinear Navier-Stokes equations. The fully nonlinear incompressible Navier-Stokes equations in two space dimensions are considered on an orthogonal curvilinear grid. Numerical tests are performed with a fourth order accurate Padé type spatial finite difference scheme and a semi-implicit BDF2 scheme in time. In Papers III-V, a class of high order accurate time-discretization schemes based on the deferred correction principle is investigated. The deferred correction principle is based on iteratively eliminating lower order terms in the local truncation error, using previously calculated solutions, in each iteration obtaining more accurate solutions. It is proven that the schemes are unconditionally stable and stability estimates are given using the energy method. Error estimates and smoothness requirements are derived. Special attention is given to the implementation of the boundary conditions for PDE. The scheme is applied to a series of numerical problems, confirming the theoretical results. In the sixth paper, a time-compact fourth order accurate time discretization for the one- and two-dimensional wave equation is considered. Unconditional stability is established and fourth order accuracy is numerically verified. The scheme is applied to a two-dimensional wave propagation problem with discontinuous coefficients.

Newton's second law, Schrödinger's equation and Maxwell's equations are all theories composed of at most second-time derivatives. Indeed, it is not often we need to take the time derivative of the acceleration. So why are we not seeing more higher-order derivative theories? Although several studies present higher derivatives' usefulness in quadratic gravity and scalar-field theories, one will eventually encounter a problem. In 1850, the physicist Mikhail Ostrogradsky presented a theorem that stated that a non-degenerate Lagrangian composed of finite higher-order time derivatives results in a Hamiltonian unbounded from below. Explicitly, it was shown that the Hamiltonian of such a system includes linearity in physical momenta, often referred to as the ''Ostrogradsky ghost''. This thesis studies how one can avoid the Ostrogradsky ghost by considering degenerate Lagrangians to put constraints on the momenta. The study begins by showing the existence of the ghost and later cover the essential Hamiltonian formalism needed to conduct Hamiltonian constraint analyses of second-order time derivative systems, both single-variable and systems coupled to a regular one. Ultimately, the degenerate second-order Lagrangians successfully eliminate the Ostrogradsky ghost by generating secondary constraints restricting the physical momenta. Moreover, an outline of a Hamiltonian analysis of a general higher-order Lagrangian is presented at the end.

Bakgrund och problemdiskussion: Lagerstyrning är olika aktiviteter som rör hur ett lager hanteras och styrs. Styrningen av ett lager har en stor påverkan på ett företags lönsamhet då det hanterar de aktiviteter som berör lager och därmed också det bundna kapitalet. Lagerstyrning är dock inget som görs i en handvändning, utan det är många delar som ska stämma överens. Lagerstyrningen blir än mer komplex när företag handlar med volatila råvaror. När det kommer till lagerstyrning av produkter med volatila inköpspriser är det viktigt att ta hänsyn till dessa förändringar, för att på så sätt kunna hitta den mest optimala lagerstyrningen. Syfte: Syftet med denna studie är att undersöka vilka konsekvenser som uppstår av att Alutrade inte tar hänsyn till volatila inköpspriser i sin nuvarande lagerstyrning, samt att identifiera vilka lagerstyrningsmetoder, och därmed lagerstyrningspolicy som är lämplig att tillämpa när inköpspriser är volatila för att optimera och uppnå en kostnadseffektiv lageromsättningshastighet. Metod: Uppsatsen behandlas utifrån ett positivistiskt synsätt och ett deduktivt angreppssätt. Uppsatsen har en kvalitativ forskningsmetod men innehåller både kvalitativ och kvantitativ data. Datan har samlats in genom ostrukturerade och semistrukturerade intervjuer, samt mailintervjuer. Resultat: Eftersom Alutrade i dagsläget inte tar så stor hänsyn till de prisförändringar som råder på aluminium marknaden uppstår en del konsekvenser, vilket gör att företagets lagerstyrning påverkas negativt. För att undvika dessa konsekvenser har en lagerstyrningspolicy, som tar hänsyn till volatila inköpspriser, tagits fram. Denna policy utgår från en ABC-klassificering och innehåller lagerstyrningsmetoder såsom modifierad EOQ, beställningspunktsystem vid volatila inköpspriser, säkerhetslager som ett uppskattat antal dagars medelefterfrågan och säkerhetslager beräknat från önskad servicenivå. Med hjälp av den framtagna lagerstyrningspolicyn kan Alutrade undvika konsekvenserna och uppnå de kostnadsbesparingarna som påvisas. / Background: Inventory control is different activities related to how a warehouse is managed. The management of inventory has a big impact on a company's profitability as it manages the activities that concern the inventory and thus has an affect on the tied up capital. However, inventory control is nothing that can be rushed through, since many activities must match. The inventory control becomes even more complex when companies deals with volatile raw materials. When it comes to inventory control of these types of products, it is important to take these changes into account, in order to find the most optimal inventory control. Purpose: The purpose of this thesis is to investigate which consequences that occurs when Alutrade does not take volatile purchase prices into account, furthermore to identify which inventory control methods, and thus inventory control policy, that is suitable to apply when purchase prices are volatile to optimize and achieve a cost-effective inventory turnover. Method: The thesis is based on a positivistic and deductive approach. The study has a qualitative research method but contains both qualitative and quantitative data. The data has been collected through unstructured and semi-structured interviews, as well as mail interviews. Results: As Alutrade currently does not take the price volatility on the aluminum market into much account a number of consequences arise, which means that the company's inventory control is negatively affected. In order to avoid these consequences a inventory control policy, which takes the price volatility into account, has been developed. This policy is based on an ABC classification and contains inventory control methods such as modified EOQ, reorder point system for volatile purchase prices, safety stock as an estimated number of demand days and safety stock calculated from a desired service level. Using the developed inventory control policy, Alutrade can avoid the consequences and achieve the cost savings that are shown.

Our knowledge of elastic wave propagation in general heterogeneous media with complex geological structures comes principally from numerical simulations. In this dissertation, I demonstrate through rigorous theoretical analyses and comprehensive numerical experiments that the Fourier method is a suitable method of choice for large scale 3D seismic modeling and imaging problems, due to its high accuracy and computational efficiency. The most attractive feature of the Fourier method is its ability to produce highly accurate solutions on relatively coarser grids, compared with other numerical methods for solving wave equations. To further advance the Fourier method, I identify two aspects of the method to focus on in this work, i.e., its implementation on modern clusters of computers and efficient high-order time stepping schemes. I propose two new parallel algorithms to improve the efficiency of the Fourier method on distributed memory systems using MPI. The first algorithm employs non-blocking all-to-all communications to optimize the conventional parallel Fourier modeling workflows by overlapping communication with computation. With a carefully designed communication-computation overlapping mechanism, a large amount of communication overhead can be concealed when implementing different kinds of wave equations. The second algorithm combines the advantages of both the Fourier method and the finite difference method by using convolutional high-order finite difference operators to evaluate the spatial derivatives in the decomposed direction. The high-order convolutional finite difference method guarantees a satisfactory accuracy and provides the flexibility of using non-blocking point-to-point communications for efficient interprocessor data exchange and the possibility of overlapping communication and computation. As a result, this hybrid method achieves an optimized balance between numerical accuracy and computational efficiency. To improve the overall accuracy of time domain Fourier simulations, I propose a family of new high-order time stepping schemes, based on a novel algorithm for designing time integration operators, to reduce temporal derivative discretization errors in a cost-effective fashion. I explore the pseudo-analytical method and propose high-order formulations to further improve its accuracy and ability to deal with spatial heterogeneities. I also extend the pseudo-analytical method to solve the variable-density acoustic and elastic wave equations. I thoroughly examine the finite difference method by conducting complete numerical dispersion and stability analyses. I comprehensively compare the finite difference method with the Fourier method and provide a series of detailed benchmarking tests of these two methods under a number of different simulation configurations. The Fourier method outperforms the finite difference method, in terms of both accuracy and efficiency, for both the theoretical studies and the numerical experiments, which provides solid evidence that the Fourier method is a superior scheme for large scale seismic modeling and imaging problems. / text

Les simulations numériques réalistes en électrophysiologie cardiaque ont un coût de calcul extrêmement élevé. Ce coût s’explique en grande partie par la raideur, à la fois en temps et en espace, d’une onde de « potentiel d’action » (PA). Par ailleurs, les phénomènes observés sont très instationnaires et s’étudient en temps long. Une description précise de la dynamique des PA est cruciale pour construire des modèles numériques pertinents d’un point de vue médical ou clinique. Cet aspect fondamental ne peut être contourné dans les études numériques réalistes.La raideur de l’onde de PA ne peut être captée numériquement qu’en ayant recours à des maillages très fins. Ces maillages très fins induisent un coût de calcul très important, et introduisent aussi des erreurs supplémentaires : les systèmes linéaires à résoudre deviennent très mal conditionnés. Au final, les erreurs numériques peuvent être particulièrement grandes dans les simulations alors que leur contrôle est évidemment essentiel pour assurer la fiabilité des résultats. Jusqu’à présent, très peu de résultats sont disponibles pour assurer cette fiabilité. Dans les faits, les erreurs sont la plupart du temps contrôlées par des procédés empiriques. Il existe quelques résultats théoriques étudiant la convergence et la stabilité des schémas numériques associés. En pratique, en plus d'avoir un contrôle de l'erreur sur le potentiel, il est aussi nécessaire d'avoir un contrôle de l’erreur sur des quantités macroscopiques décrivant la dynamique de l’onde de PA : temps d’activation, durée du PA, propriétés de restitution... Ces quantités ont en effet une interprétation physiologique qui permet de caractériser le caractère arythmogène des tissus.Les modèles sont des systèmes d’EDP de réaction-diffusion couplés avec des systèmes d’équations différentielles pouvant être très raides, les modèles ioniques. Ils sont actuellement discrétisés par éléments finis conforme (Lagrange) et par des schémas en temps d’ordre un ou deux. Dans ce travail, nous concevons et évaluons l’intérêt d'utiliser des méthodes d’ordre supérieure pour ces systèmes. Parallèlement nous introduisons d'une part une nouvelle classe de schémas appelé schémas exponentiel Adams Bashforth intégral (IEAB), et d'autre part des schémas Rush Larsen (RL) d'ordre élevé. Ces nouveaux schémas sont des schémas multipas de type exponentiels. Nous montrons qu'ils possèdent des bonnes propriétés de stabilité et permettent de faire face efficacement à la raideur des modèles ioniques. Les schémas que nous proposons sont comparés numériquement (en terme de précision, coût en temps de calcul et stabilité) à plusieurs schémas classiques, ainsi qu'aux schémas exponentiels (RL1, RL2) communément utilisés pour des simulations en électrophysiologie cardiaque. Nous proposons des techniques permettant de calculer avec précision les quantités d’intérêts cliniques (temps d’activation, de récupération, durée du potentiel d’action). Des résultats théoriques de convergence en temps et de convergence globale (espace et temps) sont énoncés et prouvés. Ces résultats sont ensuite illustrés numériquement à travers le modèle monodomaine et les modèles ioniques de Beeler Reuter, de Ten Tusscher et al. L’intérêt d'utiliser des schémas d'ordre élevés est aussi évalué sur des ondes spirales en 2D et 3D. / Realistic numerical simulations in cardiac electrophysiology have a computational cost of extremely high. This cost is largely explained by the stiffness both in time and space, of the action potential (AP) wave. Moreover, the observed phenomena are very unsteady and are studied in long time. A precise description of the dynamic of AP is crucial for constructing relevant numerical models, from a medical or clinical perspective. This fundamental aspect can not be circumvented in realistic numerical studies.The stiffness of AP wave can only be captured numerically, by using very fine meshes. In addition to the high computational cost, these very fine meshes also introduce additional errors : the linear systems to solve become very badly conditioned. In the end, the numerical errors can be particularly large whereas their control is obviously essential to ensure the reliability of the results. So far very few results are available to ensure this reliability. In practice, the errors are mostly controlled by empirical processes. In practice, in addition of having a control of the error on the potential, it is also necessary to have an error control on macroscopic quantities describing the dynamics of the AP wave : activation time, AP duration, properties of restitution ... These quantities have indeed a physiological interpretation which allows to characterize the arrhythmogenic character of the tissues.The models are systems of reaction diffusion PDE coupled with systems of differential equations that can be very stiffs (ionic models). They are currently discretized by conforming finite elements (Lagrange finite elements methods) and by schemes in time of order one or two. In this work, we design and evaluate the interest of using higher order methods for these systems. At the same time, we introduce on the one hand, a new class of schemes called Integral Exponential Adams Bashforth (IEAB) schemes and, on the other hand, high order Rush Larsen (RL) schemes. These new schemes are exponential time-stepping schemes. We show that they have good stability properties and can efficiently cope with the stiffness of ionic models. The schemes we propose are numerically compared (in terms of accuracy, CPU time and stability) with several classical schemes, as well as with the exponential schemes (RL1, RL2), commonly used for cardiac electrophysiology simulations. We propose good techniques for accurately calculating quantities of clinical interest (activation time, recovery time, duration of action potential). Theoretical results of convergence in time and global convergence (in space and time) are stated and proved. These results are then illustrated numerically through the monodomain model and the ionic models of Beeler Reuter, Ten Tusscher et al. The advantage of using high order schemes is also evaluated on spiral waves in 2D and 3D.

Background: Inventory control is a complex challenge that affects various activities on howinventory is controlled and managed. The management of inventory has a major impact on acompany's profitability and needs to be handled in different ways depending on the situationthe company is operating in. In order to improve operational inventory management forcompanies that have customer-unique products, high inventory availability and the desire forincreased inventory turnover rate, different aspects need to be addressed. Different items in acompany's assortment have different properties, and in order to control items in a goodassortment, a differentiation of the control can be developed. Purpose: The purpose of this study is to find a way to improve Alutrade's operationalinventory control and theoretically contribute with an analysis of which classification basescompanies in a similar situation should analyse when a model for differentiated control isdeveloped. The study aims to differentiate different operational models to adapt to differentitem characteristics to achieve an increased inventory turnover rate. Method: This study is treated with a deductive approach and contains both a qualitative andquantitative research method. The empirical data collected during the study consists ofinterviews, observations, focus groups and excel documents from the company's businesssystem Jeeves for calculations. The data is collected through unstructured and semi-structuredinterviews and observations. Results: By analysing Alutrade's situation, various problems could be identified in theircurrent work regarding operational inventory control. To remedy these problems, differentclassification bases for a differentiated control were analysed. This is to develop a model thatcan provide the opportunity to increase the stock turnover rate based on Alutrade'sconditions. A classification of articles is presented and gives the opportunity to applydifferent operational layer certification methods to the 9 different categories. The differentiated control handles, among other things, methods for service level, crew pointsystem, EOQ and gives recommendations for how they should be applied for each category.Through this, Alutrade can work to increase its inventory turnover rate and prioritize itsefforts where they make the most sense. Through the application of relevant classificationbases, a framework for differentiated control can be developed and different operationalinventory control methods can then be adapted for each category and provide an increase inthe inventory turnover rate. Keyword: Inventory, operational inventory control, differentiated inventory control,inventory turnover rate, classification bases, order time, order quantity, safety stock, servicelevel, ABC-XYZ analysis / Bakgrund och problemdiskussion: Lagerstyrning är en komplex utmaning som berör olikaaktiviteter om hur lager styrs och hanteras. Styrningen av lager har en stor påverkan påföretags lönsamhet och behöver hanteras på olika sätt beroende på i vilken situation företagetbefinner sig i. För att förbättra operativ lagerstyrning för företag som har kundunika artiklar,hög lagertillgänglighet och en önskan om ökad lageromsättningshastighet behöver olikaaspekter beröras. Olika artiklar i företags sortiment har olika egenskaper och för att styraartiklar på ett framgångsrikt sätt kan en differentiering av styrningen utvecklas. Syfte: Syftet med denna studie är hitta ett sätt att förbättra Alutrades operativa lagerstyrningoch teoretiskt bidra med en analys om vilka klassificeringsgrunder, företag i liknandesituation bör analysera när en modell för differentierad styrning tas fram. Studien syftar tillatt differentiera olika operativa modeller för att anpassa till olika artikelegenskaper för attuppnå en ökad lageromsättningshastighet. Metod: Denna studie behandlas med ett deduktivt angreppssätt och innehåller både enkvalitativ och kvantitativ forskningsmetod. Den empiriska datan som inhämtats under studienutgörs av intervjuer, observationer, fokusgrupper och excelunderlag från företagetsaffärssystem Jeeves för beräkningar. Datan är inhämtad genom ostrukturerade ochsemistrukturerade intervjuer och observationer. Resultat: Genom att analysera Alutrades situation kunde olika problem identifieras i derasnuvarande arbete gällande operativ lagerstyrning. För att åtgärda dessa problem analyseradesolika klassificeringsgrunder för en differentierad styrning. Detta för att ta fram en modell somkan ge möjlighet att öka lageromsättningshastigheten utifrån Alutrades förutsättningar. Enklassificering av artiklar presenteras och ger möjlighet att tillämpa olika operativalagerstyrningsmetoder till de nio olika kategorierna. Den differentierade styrningen hanterarbland annat metoder för servicenivå, besättningspunksystem, EOQ och gerrekommendationer för hur de bör tillämpas för respektive kategori. Genom detta kan4Alutrade arbeta för att öka sin lageromsättningshastighet och prioritera sina insatser dit de görmest nytta. Genom en tillämpning av relevanta klassificeringsgrunder kan ett ramverk fördifferentierad styrning utvecklas och olika operativa lagerstyrningsmetoder kan därefteranpassas för respektive kategori och ge en ökning av lageromsättningshastigheten. Nyckelord: Lager, operativ lagerstyrning, differentierad lagerstyrning,lageromsättningshastighet, klassificeringsgrunder, ordertidpunkt, orderkvantitet,säkerhetslager, servicenivå, ABC-XYZ analys

This thesis work aims to improve the stock management system of Excillum AB, a Stockholm-based company that specializes in high-performance X-ray sources. The current stock management system has limitations, resulting in gaps when managing the inventory. To address this, the study focuses on developing a calculation model that takes into account various factors such as the global supply chain, customer expectations, service offerings, and financial concerns. The research questions revolve around understanding best practices in stock management from other companies, considerations for stock selection and ordering decisions, and additional parameters to ensure accurate safety stock calculations. The research involves carrying out a literature review, benchmarking practices from other organizations, analyzing Excillum's transaction data, and developing a reliable calculation model. However, some limitations exist, such as relying on Excel for calculations rather than changing values within the ERP system, which reduces demand projection accuracy due to high product customization. Human factors and unavoidable supply chain disruptions are not specifically addressed in the recommended approach. The proposed calculation model aims to improve stock management efficiency, ensure product availability, reduce stockouts, and ultimately contribute to Excillum's growth goals while meeting customer demands. Excillum can optimize stock levels and streamline inventory management by incorporating best practices and taking into account critical factors, establishing the way for long-term success and improved customer satisfaction. / Detta examensarbete syftar till att förbättra lagerhanteringssystemet för Excillum AB, ett Stockholmsbaserat företag som är specialiserat på högpresterande röntgenkällor. Det nuvarande lagerhanteringssystemet har begränsningar, vilket resulterar i luckor vid hanteringen av lagret. För att komma till rätta med detta fokuserar studien på att utveckla en beräkningsmodell som tar hänsyn till olika faktorer såsom den globala leveranskedjan, kundernas förväntningar, tjänsteerbjudanden och ekonomiska problem. Forskningsfrågorna kretsar kring att förstå bästa praxis inom lagerhantering från andra företag, överväganden för aktieval och beställningsbeslut och ytterligare parametrar för att säkerställa korrekta beräkningar av säkerhetslager. Forskningen innebär att man genomför en litteraturgenomgång, benchmarking praxis från andra organisationer, analyserar Excillumstransaktionsdata och utvecklar en tillförlitlig beräkningsmodell. Det finns dock vissa begränsningar, som att förlita sig på Excel för beräkningar snarare än att ändra värden inom ERP-systemet, vilket minskar noggrannheten i efterfrågeprojekteringen på grund av hög produktanpassning. Mänskliga faktorer och oundvikliga störningar i försörjningskedjan behandlas inte specifikt i den rekommenderade metoden. Den föreslagna beräkningsmodellen syftar till att förbättra lagerhanteringseffektiviteten, säkerställa produkttillgänglighet, minska lagerutbudet och i slutändan bidra till Excillumstillväxtmål samtidigt som kundernas krav tillgodoses. Excillum kan optimera lagernivåer och effektivisera lagerhantering genom att införliva bästa praxis och ta hänsyn till kritiska faktorer, etablera vägen för långsiktig framgång och förbättrad kundnöjdhet.