Sökning: "multistep methods"
Visar resultat 1 - 5 av 24 avhandlingar innehållade orden multistep methods.
1. Construction of Adaptive Multistep Methods for Problems with Discontinuities, Invariants, and Constraints
Sammanfattning : Adaptive multistep methods have been widely used to solve initial value problems. These ordinary differential equations (ODEs) may arise from semi-discretization of time-dependent partial differential equations(PDEs) or may combine with some algebraic equations to represent a differential algebraic equations (DAEs). LÄS MER
2. Analysis of Computational Algorithms for Linear Multistep Methods
Sammanfattning : Linear multistep methods (LMMs) constitute a class of time-stepping methods for the solution of initial value ODEs; the most well-known methods of this class are the Adams methods (AMs) and the backward differentiation formulae (BDFs). For the fixed stepsize LMMs there exists an extensive error and stability analysis; in practical computations, however, one always uses a variable stepsize. LÄS MER
3. Stability and boundedness results for variable-step variable-formula methods
Sammanfattning : This work constitutes the author's Doctoral thesis, which includes an introduction to and a summary of the following two TRITA-NA-reports: 8112 and 8218.In many practical applications one is interested in step-wise simulation of the behaviour of a dynamic system described by ordinary differential equations. LÄS MER
4. Discretizations of nonlinear dissipative evolution equations. Order and convergence
Sammanfattning : The theme of this thesis is to study discretizations of nonlinear dissipative evolution equations, which arise in e.g. advection-diffusion-reaction processes. LÄS MER
5. Methods and Tools for Co-Simulation of Dynamic Systems with the Functional Mock-up Interface
Sammanfattning : Simulation of coupled dynamical systems, where the subsystems are bundled with their own internal solver, is important in industry. This is due to that in many cases, with complex systems, this is the only viable option. LÄS MER