Essays about: "Summation By Parts"
Showing result 21 - 25 of 27 essays containing the words Summation By Parts.
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21. Numerical simulation of solitons in the nerve axon using finite differences
University essay from Uppsala universitet/Avdelningen för beräkningsvetenskapAbstract : 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
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22. Fourth order accurate numerical solution of the sine-Gordon equation : using the summation-by-parts simultaneous approximation term method
University essay from Avdelningen för beräkningsvetenskapAbstract : This project deals with creating a numerical solver of the sine-Gordon equation using the summation- by- parts and simultaneous approximation term method in combination with a finite difference time- stepping method as well as a Runge-Kutta time-stepping method. All implementations were done with fourth order accuracy and the theoretical work involved in deriving such a finite difference time-stepping method for the sine-Gordon equation is presented. READ MORE
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23. Applications of the perfectly matched layers in a discontinuous fluid media
University essay from Institutionen för informationsteknologiAbstract : In this thesis we study the applications of the PML in a multi-layered media. The PML is constructed for the scalar wave equation and the convergence and stability of the continuous problem is studied using the normal mode analysis. READ MORE
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24. Efficient Wave Propagation in Discontinuous Media and Complex Geometry for Many-core Architectures
University essay from Institutionen för informationsteknologiAbstract : We present an accelerated numerical solver for the scalar wave equation using one and two GPUs. We consider complex geometry and study accuracy when performing the computation in both single and double precision. The method uses a high-order accurate approximation of the derivatives using summation-by-parts operators. READ MORE
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25. Coupled High-Order Finite Difference and Unstructured Finite Volume Methods for Earthquake Rupture Dynamics in Complex Geometries
University essay from Institutionen för informationsteknologiAbstract : The linear elastodynamic two-dimensional anti-plane stress problem, where deformations occur in only one direction is considered for one sided non-planar faults. Fault dynamics are modeled using purely velocity dependent friction laws, and applied on boundaries with complex geometry. READ MORE
