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Showing 1 to 16 of 16 for “"systems of partial differential equations"”.
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Finite-Element Solutions of Elliptic Systems of Partial Differential Equations and the Isoparametric Technique
… in DSpace on 2014-12-14T13:09:36Z (GMT). No. of bitstreams: 1 7804103.pdf: 3199763 bytes, checksum: fe755a8b847e23cf66f25bbc8e19b4a5 (MD5) Previous issue date: 1977
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On Switching Diffusions: The Feynman-Kac Formula And Near-Optimal Controls
… provide stochastic representations for solutions of certain weakly coupled elliptical systems of partial differential equations. The formulas are verified for the boundary value problem, the initial value problem, and the initial boundary value problem. Second, we show the existence of …
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Coupled nonlinear dynamical systems
… we study coupled nonlinear dynamical systems that exhibit new types of complex behavior. We numerically and analytically examine a variety of dynamical models, ranging from systems of ordinary differential equations (ODE) with novel elements of feedback to systems of partial …
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Existence Results for Plasma Physics Models Containing a Fully Coupled Magnetic Field
… is the initial value problem for three nonlinear systems of partial differential equations: the Vlasov-Darwin system, the Vlasov-Poisswell system and a version of the latter which is called the modified Vlasov-Poisswell system. These equations belong to kinetic theory, which has proved useful when …
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CONFIGURATIONAL FORCES IN STRUCTURAL AND CONTINUUM OPTIMISATION
… deals with optimisation using the principles of continuum mechanics. Both shape and mesh optimisation will be covered. A unified approach will be introduced to obtain shape and mesh optimisation for hyperelastic, hyperelastodynamic and hyperelastoplastic settings. The approach makes use of the …
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Valid estimation and prediction inference in analysis of a computer model
… in computer hardware over the past decades. Many of these simulators implement a particular mathematical model as a deterministic computer code, meaning that running the simulator again with the same input gives the same output. Often running the code involves some computationally expensive tasks, …
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Robust Parameter Inversion Using Stochastic Estimates
For parameter inversion problems governed by systems of partial differential equations, such as those arising in Diffuse Optical Tomography (DOT), even the cost of repeated objective function evaluation can be overwhelming. Despite the linear (in the state variable) nature of the DOT problem, the …
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Mathematical modelling of negative feedback signal transduction processes
… appropriate way, such as activate the response of intracellular molecules, which is mainly governed by proteins reacting with each other.<br/>Intracellular signalling networks are mainly based on kinases and phosphatases, enzymes which control phosphorylation and dephosphorylation of other …
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Theoretical and numerical aspects of advection-pressure splitting for 1D blood flow models
… splitting strategies for a hyperbolic system of one-dimensional (1D) blood flow equations with a passive scalar transport equation. Our analysis involves a two-step framework that includes splitting at the level of partial differential equations (PDEs) and numerical methods for discretizing …
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Dynamic and Static CO2 Mass Transfer Processes in Bulk Heavy Oil and Heavy Oil Saturated Porous Media
In the petroleum industry, the contribution of solvents to the production of oil has become more cardinal, as production from the reservoirs have advanced from primary oil production to secondary and tertiary methods. Vapour extraction (VAPEX), CO2 flooding, CO2 Huff-and-Puff are some of the …
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Multiscale Modelling of Cancer Response to Viral Therapy
… seen significant progress re- lated to the use of these viruses in clinical contexts, the degree of success of viral oncolytic therapies is currently dampened by the relatively low level of understand- ing of the complex spatio-temporal tumour-OV dynamic interactions, whose main characteristics …
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Random vibrations of composite beams and plates
The response characteristics of beams and plates made from composite laminates are strongly affected by the shear deformations of their layers. However, incorporation of the shear deformation further complicates the equations of motion and their analysis. As a result the vibration analysis of such …
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Water Quality Control in Distribution Systems: Bayesian Optimization & Physics-Informed Machine Learning
Water distribution systems (WDSs) play a vital role in maintaining public health by ensuring the continuous supply of safe drinking water. One of the most important operational challenges in WDSs is maintaining adequate chlorine residuals throughout the network to prevent microbial regrowth while …
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Theory and Application of a Class of Abstract Differential-Algebraic Equations
We first provide a detailed background of a geometric projection methodology developed by Professor Roswitha Marz at Humboldt University in Berlin for showing uniqueness and existence of solutions for ordinary differential-algebraic equations (DAEs). Because of the geometric and operator-theoretic …
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Semi-implicit schemes for compressible fluids in elastic pipes and a-posteriori sub-cell finite volume limiting techniques for semi-implicit Discontinuous Galerkin schemes for hyperbolic conservation laws on staggered meshes
In the present work we solve systems of partial differential equations (PDE) for hyperbolic conservation laws using semi-implicit numerical methods on staggered meshes applied both to the class of finite volume (FV) and both to the family of high order Discontinuous Galerkin (DG) finite elements …
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Discontinuous Galerkin methods for compressible and incompressible flows on space-time adaptive meshes
In this work the numerical discretization of the partial differential governing equations for compressible and incompressible flows is dealt within the discontinuous Galerkin (DG) framework along space-time adaptive meshes. Two main research fields can be distinguished: (1) fully explicit DG …