Sökning: "numerical homotopy methods"

Visar resultat 1 - 5 av 6 avhandlingar innehållade orden numerical homotopy methods.

1. 1. Topics in Computational Algebraic Geometry and Deformation Quantization

   Författare :Christine Jost; Sandra Di Rocco; Boris Shapiro; Gregory G. Smith; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Segre classes; Chern-Schwartz-MacPherson classes; topological Euler characteristic; computational algebraic geometry; numerical algebraic geometry; numerical homotopy methods; deformation quantization; polyvector fields; Fedosov quantization; Grothendieck-Teichmüller group; Mathematics; matematik;

   Sammanfattning : This thesis consists of two parts, a first part on computations in algebraic geometry, and a second part on deformation quantization. More specifically, it is a collection of four papers. In the papers I, II and III, we present algorithms and an implementation for the computation of degrees of characteristic classes in algebraic geometry. LÄS MER

3. 2. Topics in computation, numerical methods and algebraic  geometry

   Författare :David Eklund; Sandra di Rocco; Wolfram Decker; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; Algebra och geometri;

   Sammanfattning : This thesis concerns computation and algebraic geometry. On the computational side we have focused on numerical homotopy methods. These procedures may be used to numerically solve systems of polynomial equations. The thesis contains four papers. LÄS MER

4. 3. On Motion Planning Using Numerical Optimal Control

   Författare :Kristoffer Bergman; Daniel Axehill; Torkel Glad; Paolo Falcone; Linköpings universitet; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

   Sammanfattning : During the last decades, motion planning for autonomous systems has become an important area of research. The high interest is not the least due to the development of systems such as self-driving cars, unmanned aerial vehicles and robotic manipulators. LÄS MER

5. 4. Scattering on the Timoshenko Beam. Direct and Inverse Problems in the Time Domain

   Författare :Dag V. J. Billger; Chalmers tekniska högskola; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; integro-differential equations; wave splitting; transient wave propagation; viscoelastic damping; wave propagators; inverse problems; scattering operators; Timoshenko beam; non-uniform beams; imbedding;

   Sammanfattning : This thesis concerns the use of time domain methods for treating direct and inverse scattering problems for flexural waves on beams. The Timoshenko equation is used throughout to describe the behaviour of such waves. LÄS MER

7. 5. Exploiting Direct Optimal Control for Motion Planning in Unstructured Environments

   Författare :Kristoffer Bergman; Daniel Axehill; Torkel Glad; Emilio Frazzoli; Linköpings universitet; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

   Sammanfattning : During the last decades, motion planning for autonomous systems has become an important area of research. The high interest is not the least due to the development of systems such as self-driving cars, unmanned aerial vehicles and robotic manipulators. LÄS MER