Search for dissertations about: "splitting schemes"

Showing result 1 - 5 of 22 swedish dissertations containing the words splitting schemes.

2. 1. Splitting schemes for nonlinear parabolic problems

   Author : Tony Stillfjord; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : This thesis is based on five papers, which all analyse different aspects of splitting schemes when applied to nonlinear parabolic problems. These numerical methods are frequently used when a problem has a natural decomposition into two or more parts, as the computational cost may then be significantly decreased compared to other methods. READ MORE

4. 2. Spatial and Physical Splittings of Semilinear Parabolic Problems

   Author : Erik Henningsson; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; splitting schemes; parabolic equations; semilinear; evolution equations; dissipative; convergence order; dimension splitting; domain decomposition; axonal growth;

   Abstract : Splitting methods are widely used temporal approximation schemes for parabolic partial differential equations (PDEs). These schemes may be very efficient when a problem can be naturally decomposed into multiple parts. READ MORE

5. 3. Analyses and Applications of the Peaceman--Rachford and Douglas--Rachford Splitting Schemes

   Author : Erik Henningsson; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : Splitting methods are widely used as temporal discretizations of evolution equations. Such methods usually constitute competitive choices whenever a vector field can be split into a sum of two or more parts that each generates a flow easier to compute or approximate than the flow of the sum. READ MORE

6. 4. Numerical Methods for Wave Propagation : Analysis and Applications in Quantum Dynamics

   Author : Emil Kieri; Sverker Holmgren; Vasile Gradinaru; Hans O. Karlsson; Tobias Jahnke; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; computational wave propagation; quantum dynamics; time-dependent Schrödinger equation; spectral methods; Gaussian beams; splitting methods; low-rank approximation; Scientific Computing; Beräkningsvetenskap;

   Abstract : We study numerical methods for time-dependent partial differential equations describing wave propagation, primarily applied to problems in quantum dynamics governed by the time-dependent Schrödinger equation (TDSE). We consider both methods for spatial approximation and for time stepping. READ MORE

7. 5. Numerical analysis and simulation of stochastic partial differential equations with white noise dispersion

   Author : André Berg; David Cohen; Per Åhag; Guillaume Dujardin; Ludovic Goudenège; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; stochastic partial differential equation; mathematics; numerical analysis; numerical scheme; time integrator; convergence analysis; blowup; critical exponent; nonlinear Schrödinger equation; Manakov equation; Benjamin-Bona-Mahony equation; BBM equation; stochastic; random; dispersion; white noise dispersion; finite difference; pseudospectral; code; matlab; exponential integrator; splitting integrator; convergence in probability; Mathematics; matematik; Numerical Analysis; numerisk analys;

   Abstract : This doctoral thesis provides a comprehensive numerical analysis and exploration of several stochastic partial differential equations (SPDEs). More specifically, this thesis investigates time integrators for SPDEs with white noise dispersion. READ MORE