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Showing 1 to 13 of 13 for “"splitting methods"”.
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Operator splitting methods for the Navier-Stokes equations
… are representative of the two prevalent splitting philosophies used to split the Navier-Stokes equations. The properties of the algorithms are determined by Fourier analysis of a model problem. It is shown that splittings resulting in Stokes subproblems have desirable dissipative …
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Convex Relaxations: Beyond Polynomials, Splitting Methods and Average Case Analysis
… We begin by considering first-order methods for solving linear programs. It is known that Douglas-Rachford splitting when applied to a feasible and bounded linear program eventually enters a region of linear convergence towards a solution. We are concerned with quantifying the rate of …
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Splitting methods for monotone operators with applications to parallel optimization
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Civil Engineering, 1989.
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High-order multistep asynchronous splitting methods (MASM) for the numerical solution of multiple-time-scale ordinary differential equations
Open Restriction set for Item 92907 on 2016-12-20T14:54:38Z with date null by kappleg2@illinois.edu.
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Efficient Numerical Algorithms for Structured Nonsmooth Min–Max and Adjustable Robust Optimization problems with Applications
… exploitation and look at two such approaches: splitting methods tailored for nonconvex min-max problems and adjustable robust optimization models reformulated via conic programming reformulation. Splitting methods are a class of iterative algorithms well-suited to tackling these by exploiting …
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An analysis of the TR-BDF2 integration scheme
… We also briefly introduce how the ideas of splitting methods can be coupled with the TR-BDF2 scheme and applied to the ADR equation to take advantage of the excellent modern day explicit techniques to solve hyperbolic equations.
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ERROR ESTIMATES OF NUMERICAL METHODS FOR THE LONG-TIME DYNAMICS OF THE NONLINEAR KLEIN-GORDON EQUATION
… is devoted to the error estimates of numerical methods for the long-time dynamics of the nonlinear Klein-Gordon equation (NKGE) with weak nonlinearity, which is characterized by $\varepsilon^2$ with $\varepsilon \in (0, 1]$ a dimensionless parameter.The analytical results indicate that the …
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Input/output analysis: graphical and algorithmic methods
This thesis describes new methods in input/output systems theory. The first part of this thesis develops a novel graphical method for the stability analysis of feedback systems. The Scaled Relative Graph (SRG), a recent concept from monotone operator theory, is shown to generalize the classical …
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Conservative numerical schemes for unsteady 1D two phase flow
… Riemann Solvers" o métodos "Flux Vector Splitting". Fundamentalmente hemos estudiado los esquemas TVD, TVD Adaptados y la familia de esquemas AUSM. [ENG]The thesis is devoted to the modelization of non steady two phase mixtures of liquid and vapour. It has been motivated by the great …
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Analyses and Applications of the Peaceman--Rachford and Douglas--Rachford Splitting Schemes
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. In the …
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A Computational Thermo-Chemo-Mechanics Framework for the Large-Scale Simulation of Material and Structural Failure in Hypersonic Environments
… theory. Finally, cohesive fracture models, splitting methods and thermal solvers are developed specifically for applications to thermally shocked ceramics. Simple and rigorous calibration procedures are proposed which facilitate the direct analysis of fragmentation and comminution in brittle …
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Quantum Algorithms and Complexity for Numerical Problems
… a given Hamiltonian. We consider high order splitting methods that are particularly applicable in quantum simulation and obtain bounds on the number of exponentials required. Moreover, we derive the optimal order of convergence given the required error bound. We compare our complexity …
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New efficient contact discontinuity capturing techniques in supersonic flow simulations
… two different approaches: a kinetic fluctuation splitting scheme and a discontinuity confinement scheme based on an antidiffusion approach. In both approaches cell-vertex fluctuation-splitting methods are used in order to generate a multi-dimensional procedure. The kinetic fluctuation-splitting …