Search for dissertations about: "Calculus and Derivatives"

Found 5 swedish dissertations containing the words Calculus and Derivatives.

2. 1. Modelling Stiffness and Damping by Use of Fractional Calculus with Application to Railpads

   Author : Åsa Fenander; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; stiffness; initial conditions; modal synthesis; time integration; measurements; fractional calculus; railway tracks; fractional integrals; damping; railpads; structural dynamics; fractional derivatives; mathematical models;

   Abstract : When studying the dynamic behaviour of a structure, e g a railway track, it is important for the analyst to model both stiffness and damping accurately. Mathematical models including fractional derivatives have been found to work well for many materials. Such models are linear and causal. READ MORE

4. 2. Fractional Calculus and Linear Viscoelasticity in Structural Dynamics

   Author : Mikael Enelund; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; linear viscoelasticity; convolution integrals; anisotropy; structural modeling; finite elements; material damping; time integration; internal variables; relaxation; fractional calculus; creep; Mittag-Leffler functions;

   Abstract : The use of linear viscoelasticity together with fractional calculus in time-domain structural modeling is studied. Both constitutive and structural aspects are investigated. READ MORE

5. 3. Model categories, pro-categories and functors

   Author : Thomas Blom; Gregory Arone; Denis-Charles Cisinski; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Homotopy theory; Quillen model categories; Pro-categories; Enriched categories; Goodwillie calculus; matematik; Mathematics;

   Abstract : This thesis consists of five papers. The first three are concerned with various model structures on ind- and pro-categories, while the last two are concerned with the homotopy theory of functors.In Paper I, a general method for constructing simplicial model structures on ind- and pro-categories is described and its basic properties are studied. READ MORE

6. 4. On Amoebas and Multidimensional Residues

   Author : Johannes Lundqvist; Mats Andersson; Martín Sombra; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; amoeba; multidimensional residue; duality principle; effective; uniform; Artin-Rees; Ronkin function; Mathematics; matematik;

   Abstract : This thesis consists of four papers and an introduction. In Paper I we calculate the second order derivatives of the Ronkin function of an affine polynomial in three variables. This gives an expression for the real Monge-Ampére measure associated to the hyperplane amoeba. READ MORE

7. 5. Parabolic equations with low regularity

   Author : Magnus Fontes; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; Galerkin approximation.; low regularity; variational method; Hilbert transformation; fractional calculus; parabolic equations; quasilinear;

   Abstract : In this work we study a variational method for treating parabolic equations that yields new results for non-linear equations with low regularity on source and boundary data. We treat mainly strongly parabolic quasilinear equations and systems in divergence form. READ MORE