Lucier, Mathematics of Computation, 46Abstract: The rational numbers are taken as a basis, and the new objects are constructed, that are called the irrational numbers.
Using a previous characterization of these approximation spaces in terms of Besov spaces, it is shown that there is a one-parameter family of Besov spaces that are invariant under the differential equation. We establish two types of results.
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A new adaptive finite-difference scheme for scalar hyperbolic conservation laws is introduced. DeVore and Bradley J. In contrast, we show that these algorithms may be executed in parallel on alternate computer architectures.
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Specifically, we find that discretization and explicit dispersion have identical effects on the amount of artificial dissipation necessary for stability. We also develop certain relationships between dispersion and stability in finite difference schemes.
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Lucier, Mathematics of Computation, 46Abstract: We discuss a recent Besov space regularity theory for discontinuous, entropy solutions of quasilinear, scalar hyperbolic conservation laws in one space dimension.
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The first result shows that if the initial data is in a rearrangement-invariant function space, then the solution is in the same space for all time.
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Southern Illinois University Carbondale OpenSIUC Research Papers Graduate School Summer An Application of Differential Equations in the Study of Elastic Columns. Differential equations that express n atural laws with time being the independent variable ar e always autonomous, because to the best of our current knowledge, th e laws of nat ure do not change over time.
EQUATION AND FRACTIONAL DIFFERENTIAL EQUATION QU HAIDONG and LIU XUAN This book contains 4 papers of the authors,and all of which are on the research of di erential equations with boundary value problem.
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Explore the latest articles, projects, and questions and answers in Partial Differential Equations, and find Partial Differential Equations experts.Differential equations research papers