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With each methodology treated in its own chapter, this monograph is a thorough exploration of several theories that can be used to find explicit formulas for heat kernels for both elliptic and sub-elliptic operators. The authors show how to find heat kernels for classical operators by employing a number of different methods. Some of these methods come from stochastic processes, others from quantum physics, and yet others are purely mathematical. Depending on the symmetry, geometry and ellipticity, some methods are more suited for certain operators rather than others.

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In The Lily and the Thistle, William Calin argues for a reconsideration of the French impact on medieval and renaissance Scottish literature. Calin proposes that much of traditional, medieval, and early modern Scottish culture, thought to be native to Scotland or primarily from England, is in fact strikingly international and European. By situating Scottish works in a broad intertextual context, Calin reveals which French genres and modes were most popular in Scotland and why.
The Lily and the Thistle provides appraisals of medieval narrative texts in the high...

The Twentieth-Century Humanist Critics revisits the work and place of eight scholars roughly contemporary with Anglo-American New Criticism: Leo Spitzer, Ernst Robert Curtius, Erich Auerbach, Albert B?guin, Jean Rousset, C.S. Lewis, F.O. Matthiessen, and Northrop Frye. William Calin first considers the achievements of each critic, examining his methodology and basic presuppositions as well as the critiques marshalled against him. Calin explores their relation to history, to canon-formation, and to our current theoretical debates. He then goes on to show how all eight form a...

This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks of spectral methods in the context of numerical methods devoted to solve non-standard eigenvalue problems. In addition, the book also considers some nonlinear singularly perturbed boundary value problems along with eigenproblems obtained by their linearization around constant solutions.

The book is mathematical, poising problems in their proper function spaces, but its emphasis is on algorithms and practical difficulties. The range...