Search for dissertations about: "numerical solutions"

Showing result 1 - 5 of 440 swedish dissertations containing the words numerical solutions.

2. 1. Numerical Computations with Fundamental Solutions

   Author : Per Sundqvist; Henrik Brandén; Sverker Holmgren; Alison Ramage; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; fundamental solution; partial differential equation; partial difference equation; iterative method; preconditioner; boundary method; Numerical Analysis; Numerisk analys;

   Abstract : Two solution strategies for large, sparse, and structured algebraic systems of equations are considered. The first strategy is to construct efficient preconditioners for iterative solvers. The second is to reduce the sparse algebraic system to a smaller, dense system of equations, which are called the boundary summation equations. READ MORE

4. 2. Preconditioners and fundamental solutions

   Author : Per Sundqvist; Henrik Brandén; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys;

   Abstract : New preconditioning techniques for the iterative solution of systems of equations arising from discretizations of partial differential equations are considered. Fundamental solutions, both of differential and difference operators, are used as kernels in discrete, truncated convolution operators. READ MORE

5. 3. Numerical Quantum Dynamics

   Author : Emil Kieri; Sverker Holmgren; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Scientific Computing; Beräkningsvetenskap;

   Abstract : We consider computational methods for simulating the dynamics of molecular systems governed by the time-dependent Schrödinger equation. Solving the Schrödinger equation numerically poses a challenge due to its often highly oscillatory solutions, and to the exponential growth of work and memory with the number of particles in the system. READ MORE

6. 4. Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities

   Author : Parikshit Upadhyaya; Elias Jarlebring; Robert Corless; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; numerical algorithms; nonlinear eigenproblems; multiparameter eigenvalue problem; nonlinear eigenvalue problem; eigenvector nonlinearities; nepv; scf; p-laplacian; quasi-newton; Numerical Analysis; Numerisk analys;

   Abstract : Eigenproblems and their nonlinear generalizations appear as important problems in a wide variety of fields, ranging from quantum chemistry and vibration analysis to macroeconomics and data science. Hence, the development and analysis of numerical algorithms to solve such problems has a broad multiplicative effect on our ability to answer several crucial scientific questions. READ MORE

7. 5. Heat and Mass Transfer in Built Structures - Numerical Analyses

   Author : Jinkai Wang; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; air convection; heat; numerical procedure; air and moisture transport; long-term thermal performance; numerical stability; gas-filled foam; thermal aging; simulation;

   Abstract : Heat and mass transport processes are often present simultaneously in built structures in building applications. The emphasis of this thesis is to contribute to knowledge about predicting the effects of combined heat and mass transport in built structures. READ MORE