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  1. 1. Exponential integrators for stochastic partial differential equations

    Författare :Rikard Anton; David Cohen; Christian Engström; Stig Larsson; Annika Lang; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Stochastic partial differential equations; numerical methods; stochastic exponential integrator; strong convergence; trace formulas;

    Sammanfattning : Stochastic partial differential equations (SPDEs) have during the past decades become an important tool for modeling systems which are influenced by randomness. Because of the complex nature of SPDEs, knowledge of efficient numerical methods with good convergence and geometric properties is of considerable importance. LÄS MER

  2. 2. An Observer-Based Technique with Trace Links for Requirements Validation in Embedded Real-Time Systems

    Författare :Jiale Zhou; Kristina Lundqvist; Kristian Sandahl; Mälardalens högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Computer Science; datavetenskap;

    Sammanfattning : With the growing complexity of embedded real-time systems, requirements validation becomes an ever-more critical activity for developing such systems. Studies have revealed that most of the anomalies, discovered in the development of complex systems, belong to requirement and specification phases. LÄS MER

  3. 3. Development of Methods for Determination of Fat and Trace Constituents in Food, with Emphasis on Supercritical Fluid Extraction

    Författare :Hans Berg; Centrum för analys och syntes; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Supercritical fluid extraction; Steroids; SFE; Sample preparation; Meat; Lipid classes; Food; Fatty acid composition; Fat content; 3-butanediol; 2; Diacetyl; Acetoin; Androstenone; vitamins A and E.; Analytical chemistry; Analytisk kemi;

    Sammanfattning : Sample preparation is the most time-consuming step in an analysis. Traditional sample preparation techniques consume large amounts of organic solvents, are time-consuming and are difficult to automate. LÄS MER

  4. 4. Summation formulae and zeta functions

    Författare :Johan Andersson; Mikael Passare; Aleksandar Ivic; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; zeta function; summation formula; automorphic form; modular group; Kloosterman sum; Selberg theory; power sum method; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis in analytic number theory consists of 3 parts and 13 individual papers.In the first part we prove some results in Turán power sum theory. We solve a problem of Paul Erdös and disprove conjectures of Paul Turán and K. Ramachandra that would have implied important results on the Riemann zeta function. LÄS MER

  5. 5. Kantor Triple Systems

    Författare :Daniel Mondoc; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; gruppteori; fältteori; algebra; algebraic geometry; group theory; Talteori; field theory; Number Theory; Composition algebras; Jordan algebras; Kantor triple systems; Lie algebras; Jordan triple systems; algebraisk geometri;

    Sammanfattning : The main purpose of this thesis is to study real exceptional Kantor triple systems. In the first paper we first prove the known results in both the real and complex classical cases of K-simple Kantor triple systems. In the real classical case our approach gives somewhat simpler formulas. LÄS MER