Browsing Department of Mathematics by Title
Now showing items 617-636 of 966
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On the Convergence Rate of Operator splitting for Hamilton-Jacobi Equations with Source Terms
(Department of Applied Mathematics report, Research report, 2000-02) -
On the convergence Rate of Operator splitting for weakly coupled Systems of Hamilton-Jacobi Equations.
(Department of Applied Mathematics report, Research report, 2000-06) -
On the existence of optimal controls for a singular stochastic control problem in finance.
(Department of Applied Mathematics report, Research report, 2000-11) -
On the extension giving the truncated Witt vectors
(Master thesis, 2015-01-05)We explore the theory of cohomology of groups and the classification of group extensions with abelian kernel. We then look at the group extensions that underlie the truncated Witt vectors on the truncation set {1,p} where ... -
On the formation of coastal rogue waves in water of variable depth
(Journal article; Peer reviewed, 2023)Wave transformation is an intrinsic dynamic process in coastal areas. An essential part of this process is the variation of water depth, which plays a dominant role in the propagation features of water waves, including a ... -
On the formation of coastal rogue waves in water of variable depth
(Journal article; Peer reviewed, 2023)Wave transformation is an intrinsic dynamic process in coastal areas. An essential part of this process is the variation of water depth, which plays a dominant role in the propagation features of water waves, including a ... -
On the formulation of energy conservation in the eeKdV equation
(Journal article; Peer reviewed, 2024)The Korteweg-de Vries (KdV) equation is a well-known model equation for unidirectional shallow-water (long) surface waves. The equation includes dispersion and weak non-linearity. The derivation of the equation originates ... -
On the Formulation of Mass, Momentum and Energy Conservation in the KdV Equation
(Peer reviewed; Journal article, 2014-10)The Korteweg-de Vries (KdV) equation is widely recognized as a simple model for unidirectional weakly nonlinear dispersive waves on the surface of a shallow body of fluid. While solutions of the KdV equation describe the ... -
On the influence of wave reflection on shoaling and breaking solitary Waves
(Peer reviewed; Journal article, 2016)A coupled BBM system of equations is studied in the situation of water waves propagating over a decreasing fluid depth. A conservation equation for mass and also a wave breaking criterion, both valid in the Boussinesq ... -
On the mass transport induced by time-dependent oscillations of finite amplitude in a nonhomogeneous fluid. I: General results for a perfect gas
(Department of Applied Mathematics report, Research report, 1973-05) -
On the mass transport induced by time-dependent oscillations of finite amplitude in a nonhomogeneous fluid. II: General results for a liquid
(Department of Applied Mathematics report, Research report, 1973-08) -
On the numerical approximation of derivatives by a modified Fourier collocation method
(Department of Applied Mathematics report, Research report, 1995-07) -
On the optimization of iterative schemes for solving non-linear and/or coupled PDEs
(Master thesis, 2018-12-11)In this thesis we study the optimization of iterative schemes as both linearization methods, and as splitting methods for solving non-linear and coupled partial differential equations (PDEs). We consider two equations that ... -
On the optimization of the fixed‐stress splitting for Biot's equations
(Peer reviewed; Journal article, 2019)In this work, we are interested in efficiently solving the quasi‐static, linear Biot model for poroelasticity. We consider the fixed‐stress splitting scheme, which is a popular method for iteratively solving Biot's equations. ... -
On the postage stamp problem with three stamp denominations, III
(Department of Pure Mathematics report no. 30, Research report, 1984-01) -
On the rate of convergence of alternating minimization for non-smooth non-strongly convex optimization in Banach spaces
(Journal article; Peer reviewed, 2022)In this paper, the convergence of the fundamental alternating minimization is established for non-smooth non-strongly convex optimization problems in Banach spaces, and novel rates of convergence are provided. As objective ... -
On the Relation between Surface Profiles and Internal Flow Properties in Long-Wave Models
(Doctoral thesis, 2017-03-10)In this work, we investigate the internal velocity field in a number of Boussinesq models in non-uniform situations. A coupled BBM-BBM type system of equations is derived in the assumption of water wave propagating over ... -
On the relationship between multiple porosity models and continuous time random walk
(Conference lecture, 2010)We derive a multiple porosity model based on the continuous time random walk model (CTRW). In particular, we show how the parameters of the multiple porosity models relate to the transition probability function which is ... -
On the shoaling of solitary waves in the KdV equation
(Journal article; Peer reviewed, 2014)The waveheight change in surface waves with a sufficiently slow variation in depth is examined. Using a new formulation of the energy flux associated to waves modeled by the Korteweg-de Vries equation, a system of three ... -
On the Solution of the Solitary Wave Problem
(Department of Applied Mathematics report, Research report, 1997-07)