144 Result(s)
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Chapter
Basic Theory
The is to express the unknown in an asymptotic expansion, and solve successively for each order.
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Chapter
Perturbation of Integrals
Solutions to many problems, including differential equations, may be in integral form. cannot be integrated analytically, and are very difficult to integrate numerically.
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Chapter
Examples in Mechanics
In this chapter, some applications in mechanics are given. We shall illustrate the complete process, from nondimensionalization, scaling, solving the perturbation problem, to the discussion of the results.
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Chapter and Conference Paper
Using Geopolymer Technology to Fabricate Spray Fire Resistance Material (SFRM)
High-rise buildings usually use steel construction as the main structure because of their lightweight, toughness, and superior earthquake resistance. However, one of the disadvantages of steel construction is ...
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Chapter
Asymptotic Expansion
This chapter concerns the basics of of a function.
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Chapter
Eigenvalue Problems
In this Chapter, non-singular eigenvalue problems are studied. Singular eigenvalue problems, when are large, are treated in Chapter 9.
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Chapter
The Phase Plane
is important for studying the property of the solutions of the autonomous second order differential equation. Autonomous means the independent variable does not explicitly appear in the equation. This is ofte...
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Chapter
Improving Asymptotic Series
It becomes more and more tedious to obtain analytically the higher order corrections, even when the successive orders are linear. The methods described in this chapter may be used to extract more accuracy from...
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Chapter
Nondimensionalization and Scaling
In this chapter we discuss how to obtain a mathematical perturbation problem from a physical problem .
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Chapter
Periodic and Almost Periodic Solutions
A solution u(t) is periodic if it repeat.
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Chapter
Other Singular Problems
In this chapter we consider methods which problems which may not have boundary layers.
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Chapter
Singular Perturbation and Boundary Layers
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Chapter and Conference Paper
Neutron Capture on Actinides Studied with DANCE
Neutron capture cross sections in the continuum region above neutron energies of 1 keV have been difficult to calculate accurately, and measurements are needed for accurate results. Recent capture measurements...
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Chapter and Conference Paper
Source Mass Characterization in the ARIADNE Axion Experiment
The Axion Resonant InterAction Detection Experiment (ARIADNE) is a collaborative effort to search for the QCD axion using nuclear magnetic resonance (NMR), where the axion acts as a mediator of spin-dependent ...
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Chapter and Conference Paper
Progress on the ARIADNE Axion Experiment
The Axion Resonant InterAction Detection Experiment (ARIADNE) is a collaborative effort to search for the QCD axion using techniques based on nuclear magnetic resonance (Arvanitaki and Geraci, Phys Rev Lett 11...
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Chapter
Majorana States
The main goal of this chapter is to introduce the basic concepts of Majorana and zero energy , and their origin from topology, magnetism and superconductivity. This chapter gears towards young researchers a...
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Chapter and Conference Paper
Basal Effect in Mono- and Bi-disperse Chute Flows
The basal condition for granular chute flows is assumed rough and non-slip in experimental and numerical studies. In mono-disperse flows, a rough base is usually constructed by gluing/fixing a layer of particl...
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Chapter and Conference Paper
The Effect of the Recombination Shock behind a Backward Step on the Mixing Characteristics of an Inclined Sonic Methane Jet in a Supersonic Crossflow
The scramjet engines have been extensively studied for use in aircraft and future space transportation systems operating at speeds of about Mach 5 and above. At these high flight velocities, the incoming air i...
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Chapter
Single Semiconductor Quantum Dots in Microcavities: Bright Sources of Indistinguishable Photons
In this chapter we will discuss the technology and experimental techniques to realize quantum dot (QD) single photon sources combining high outcoupling efficiencies and highest degrees of photon indistinguisha...
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Chapter
Collective Instabilities in the Tevatron Collider Run II Accelerators
High luminosity operation of the Tevatron during Collider Run II required high beam intensities all over the accelerator complex, and as a result, five out of six rings (except the Debuncher) had notable probl...
