Essays about: "well-posed"

Showing result 6 - 10 of 12 essays containing the word well-posed.

  1. 6. Solving ill-posed problems with mollification and an application in biometrics

    University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Author : Emma Lindgren; [2018]
    Keywords : Mollification; regularization; ill-posed problems; biometrics; blood vessel;

    Abstract : This is a thesis about how mollification can be used as a regularization method to reduce noise in ill-posed problems in order to make them well-posed. Ill-posed problems are problems where noise get magnified during the solution process. An example of this is how measurement errors increases with differentiation. READ MORE

  3. 7. Simulation and Mathematical Analysis of a Task Partitioning Model of a Colony of Ants

    University essay from Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

    Author : Viktor Södergren; [2016]
    Keywords : Social insects; Ants; Task partitioning; Self-organization; Nonlinear operators; Dynamical systems; Fixed point theorems;

    Abstract : In this thesis we study a mathematical model that describes task partitioning in a colony of ants. This process of self-organization is modeled by a nonlinear coupled system of rst order autonomous ordinary dierential equations. We discuss how this system of equations can be derived based on the behavior of ants in a colony. READ MORE

  4. 8. Numerical simulation of solitons in the nerve axon using finite differences

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Jonatan Werpers; [2014]
    Keywords : ;

    Abstract : A High-order accurate finite difference scheme is derived for a non-linear soliton model of nerve signal propagation in axons. Boundary conditions yielding well-posed problems are suggested and included in the scheme using a penalty technique. READ MORE

  5. 9. A Well-Posed Algorithm to Recover Implied Volatility

    University essay from Institutionen för informationsteknologi

    Author : Yan Wang; [2012]
    Keywords : ;

    Abstract : Implied volatility plays a very important role in financial sector. In the assets of trading market,everyone wants to know the implied volatility in the future. However,it is difficult to predict it. In this paper,we use a new well-posed algorithm to recover implied volatility under the Black-Scholes theoretical framework. READ MORE

  6. 10. Energy estimates and variance estimation for hyperbolic stochastic partial differentialequations

    University essay from Beräkningsvetenskap

    Author : Carl-Fredrik Arndt; [2011]
    Keywords : ;

    Abstract : In this thesis the connections between the boundary conditions and the vari- ance of the solution to a stochastic partial differential equation (PDE) are investigated. In particular a hyperbolical system of PDE’s with stochastic initial and boundary data are considered. READ MORE