Sökning: "heat equation mathematics"

Visar resultat 1 - 5 av 8 uppsatser innehållade orden heat equation mathematics.

1. 1. Implementation and study of boundary integral operators related to PDE:s in the plane

   Master-uppsats, Lunds universitet/Matematik LTH

   Författare :Erik Andersson; [2023]
   Nyckelord :Boundary integral equation; Singular integral operator; Product integration; Close evaluation; Numerical integration; MATLAB; Mathematics and Statistics;

   Sammanfattning : The method of solving boundary value problems of partial differential equations numerically by first reformulating the problem as a boundary integral equation has many advantages over other methods, but also some unique difficulties. Some of these difficulties stem from problems in evaluating singular or nearly singular integral operators, and solving these difficulties is an active field of research. LÄS MER

3. 2. Thermal Initiation of Energetic Materials Caused by Hot Fragments

   Master-uppsats, KTH/Matematik (Avd.)

   Författare :Sirak Ghebreamlak; [2022]
   Nyckelord :Applied mathematics; computational mathematics; heat equation; thermal initiation; chemical kinetics; energetic materials; Tillämpad matematik; beräkningsteknik; värmeledningsekvationen; termisk initiering; kinetik; energetiska material;

   Sammanfattning : The cause of unintentional initiations of energetic materials is an important area of study due to the risks that comes with storing energetic materials such as high explosives. The current models used to simulate the process of heating energetic materials by a hot metal fragment do not give reliable predictions. LÄS MER

4. 3. Solving the steady-state heat equation using overdetermined non-overlapping domain decomposition methods

   Master-uppsats, Lunds universitet/Matematik LTH

   Författare :Filip Thor; [2018]
   Nyckelord :Overdetermined non-overlapping domain decomposition methods; constrained least squares methods; steady-state heat equation; Mathematics and Statistics;

   Sammanfattning : Domain decomposition methods can be used to numerically solve partial differential equations for certain problems, for example in cases where the domain has an irregular shape, or if there are differences in material constants. By splitting the domain into subdomains, these problems can be solved using domain decomposition methods. LÄS MER

5. 4. Partitioned Multirate Time Integration for Coupled Systems of Ordinary Differential Equations

   Master-uppsats, Lunds universitet/Matematik LTH

   Författare :Joost Kranenborg; [2018]
   Nyckelord :Waveform iteration; waveform relaxation; multirate time integration; parallel computing; Mathematics and Statistics;

   Sammanfattning : In this thesis a new method for the numerical solution of coupled systems of ordinary differential equations is investigated. To understand this new method, the workings of existing Waveform iteration methods, in particular the Jacobi and Gauß-Seidel methods were explored first. LÄS MER

7. 5. The Dirichlet-Neumann iteration – Three-field case: Methods and analyses

   Master-uppsats, Lunds universitet/Matematik LTH

   Författare :Ivo Dravins; [2018]
   Nyckelord :Dirichlet-Neumann; three field; three domains; Laplace equation; Poisson equation; coupled heat equations; steady-state; Mathematics and Statistics;

   Sammanfattning : We construct and analyze Dirichlet-Neumann iterations for the 1D Poisson equation. Specifically, we wish to gain insight into how the convergence depends on material coefficients when solving coupled linear heat equations on three non-overlapping domains. We first consider the two-domain case and then extend the method to three domains. LÄS MER