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269,006 result(s) for "Qualitative"
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On the Stability of Type I Blow Up For the Energy Super Critical Heat Equation
The authors consider the energy super critical semilinear heat equation \\partial _{t}u=\\Delta u+u^{p}, x\\in \\mathbb{R}^3, p>5. The authors first revisit the construction of radially symmetric self similar solutions performed through an ode approach and propose a bifurcation type argument which allows for a sharp control of the spectrum of the corresponding linearized operator in suitable weighted spaces. They then show how the sole knowledge of this spectral gap in weighted spaces implies the finite codimensional nonradial stability of these solutions for smooth well localized initial data using energy bounds. The whole scheme draws a route map for the derivation of the existence and stability of self-similar blow up in nonradial energy super critical settings.
Crafting qualitative research : beyond positivist traditions
Focusing on the philosophical underpinnings and practical implications of diverse qualitative methods, this comprehensive text offers a guided tour of the options available to qualitative researchers, highlighting aspects of research design, execution, and analysis in each tradition. In clear, readable prose, the author offers insight into the ambiguities, tensions, and interconnections of diverse qualitative research traditions without resorting to oversimplification.
Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations
In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous reaction-diffusion equations: The characterizations of these sets involve two new notions of generalized principal eigenvalues for linear parabolic operators in unbounded domains. In particular, it allows us to show that
Essentials of Qualitative Inquiry
This brief, inexpensive guide introduces students and novices to the key elements of qualitative research methods. Written in a friendly, conversational style, replete with good examples from multiple disciplines, student exercises, and key points to remember, the volume works ideally with other qualitative textbooks to provide a comprehensive overview to qualitative methods for students. Chapters cover the essentials of theory building, research design, methods, data collection and analysis, writing, ethics, rigor and proposal writing.
Doing qualitative research online
Qualitative researchers can now connect with participants online to collect deep, rich data and generate new understandings of contemporary research phenomena. Doing Qualitative Research Online gives students and researchers the practical and scholarly foundations needed to gain digital research literacies essential for designing and conducting studies based on qualitative data collected online. The book will take a broad view of methodologies, methods and ethics, covering: ethical issues in research design and ethical relationships with participants; designing online qualitative studies; collecting qualitative data online through interviews, observations, participatory and arts-based research and a wide range of posts and documents; analyzing data and reporting findings. Written by a scholar-practitioner in e-learning and online academia with 15 years experience, this book will help all those new to online research by providing a range of examples and illustrations from published research. The text and accompanying materials will offer discussion and assignment ideas for ease of adoption.
From Data Management to Actionable Findings: A Five-Phase Process of Qualitative Data Analysis
This article outlines a five-phase process of qualitative analysis that draws on deductive (codes developed a priori) and inductive (codes developed in the course of the analysis) coding strategies, as well as guided memoing and analytic questioning, to support trustworthy qualitative studies. The five-phase process presented here can be used as a whole or in part to support researchers in planning, articulating, and executing systematic and transparent qualitative data analysis; developing an audit trail to ensure study dependability and trustworthiness; and/or fleshing out aspects of analysis processes associated with specific methodologies.