Sökning: "splitting schemes"
Visar resultat 1 - 5 av 22 avhandlingar innehållade orden splitting schemes.
1. Splitting schemes for nonlinear parabolic problems
Sammanfattning : 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. LÄS MER
2. Spatial and Physical Splittings of Semilinear Parabolic Problems
Sammanfattning : 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. LÄS MER
3. Analyses and Applications of the Peaceman--Rachford and Douglas--Rachford Splitting Schemes
Sammanfattning : 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. LÄS MER
4. Numerical Methods for Wave Propagation : Analysis and Applications in Quantum Dynamics
Sammanfattning : 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. LÄS MER
5. Numerical analysis and simulation of stochastic partial differential equations with white noise dispersion
Sammanfattning : 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. LÄS MER