Sökning: "initial value problems"
Visar resultat 11 - 15 av 72 avhandlingar innehållade orden initial value problems.
11. Stable and High-Order Finite Difference Methods for Multiphysics Flow Problems
Sammanfattning : Partial differential equations (PDEs) are used to model various phenomena in nature and society, ranging from the motion of fluids and electromagnetic waves to the stock market and traffic jams. There are many methods for numerically approximating solutions to PDEs. LÄS MER
12. 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
13. High order summation-by-parts based approximations for discontinuous and nonlinear problems
Sammanfattning : Numerical approximations using high order finite differences on summation-byparts (SBP) form are investigated for discontinuous and fully nonlinear systems of partial differential equations. Stability and conservation properties of the approximations are obtained through a weak imposition of interface and boundary conditions with the simultaneous-approximation-term (SAT) technique. LÄS MER
14. Homogenization of Reynolds equations and of some parabolic problems via Rothe's method
Sammanfattning : This PhD thesis is focussed on some problems of great interest in applied mathematics. More precisely, we investigate some new questions in homogenization theory, which have been motivated by some concrete problems in tribology. LÄS MER
15. Stability, dual consistency and conservation of summation-by-parts formulations for multiphysics problems
Sammanfattning : In this thesis, we consider the numerical solution of initial boundary value problems (IBVPs). Boundary and interface conditions are derived such that the IBVP under consideration is well-posed. We also study the dual problem and the related dual boundary/interface conditions. LÄS MER