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Discrete Symmetries for the higher dimensional heat equation

using difference equations and meshes. In this book, a complete symmetry analysis for the multidimensional discrete heat equation is presented;

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Heat Conduction, Fifth Edition

Heat Conduction, Fifth Edition, upholds its reputation as the leading text in the field for graduate students, and as a resource for;

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Bifurcation Dynamics in Polynomial Discrete Systems

bifurcations for simple and higher-order singularity period-1 fixed-points in the 1-dimensional polynomial discrete systems. Further, it analyzes the;

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Bifurcation Dynamics in Polynomial Discrete Systems

bifurcations for simple and higher-order singularity period-1 fixed-points in the 1-dimensional polynomial discrete systems. Further, it analyzes the;

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Symmetries in Science VIII

symmetries of elementary particles, a quantum mechanical evolution equation for mixed states from symmetry and kinematics, linear coxeter groups, an;

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Heat Conduction

one-semester graduate course, the text begins with fundamental concepts, introducing the governing equation of heat conduction as derived from;

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Linear and Boundary Integral Equations

of integral operators. Other sections of this part are devoted to the theories of one-, and higher-dimensional singular operators. The second part;

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On Space-Time Quasiconcave Solutions of the Heat Equation

-time level sets of the space-time quasiconcave solution of the heat equation in a convex ring. To explain their ideas and for completeness, the;

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Discrete Variational Derivative Method

) Dissipative equations such as the Cahn-Hilliard equation (some phase separation phenomena) and the Newell-Whitehead equation (two-dimensional Benard;

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Invariance Theory

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex;

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On Noether Symmetries and Conservation Laws

Noether symmetries provide conservation laws that are admitted by Lagrangians representingphysical systems. For differential equations;

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Bifurcation and Stability in Nonlinear Discrete Systems

corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points;

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Symmetry Methods for Differential Equations

Symmetry is the key to solving differential equations. There are many well-known techniques for obtaining exact solutions, but most of them;

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Symmetry Methods for Differential Equations

Symmetry is the key to solving differential equations. There are many well-known techniques for obtaining exact solutions, but most of them;

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Gauge Field Theories

Quantum field theory forms the present theoretical framework for our understanding of the fundamental interactions of particle physics;

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Low-dimensional Nanoscale Systems On Discrete Spaces

The area of low-dimensional quantum systems on discrete spaces is a rapidly growing research field lying at the interface between quantum;

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Nonlinear Analysis, Differential Equations, and Applications

numerical schemes for differential equations, the Erdos-Renyi network model, strongly m-convex functions, higher order strongly generalized convex;

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Group-Theoretic Methods in Mechanics and Applied Mathematics

problems of mechanics and physics are considered, and exact solutions are given for the following equations: dynamics of rigid body, heat transfer;

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Group-Theoretic Methods in Mechanics and Applied Mathematics

problems of mechanics and physics are considered, and exact solutions are given for the following equations: dynamics of rigid body, heat transfer;

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Quantum Mechanics

origins of quantum theory and examinations of matter waves and the Schrödinger equation, one-dimensional quantized systems, the uncertainty;

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An Introduction to Fluid Mechanics and Heat Transfer

First published in 1975 as the third edition of a 1957 original, this book presents the fundamental ideas of fluid flow, viscosity, heat;

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An Introduction to Dynamical Systems and Chaos

The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The;

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Heat and Mass Transfer for Chemical Engineers

-based introduction to heat and mass transfer procedures and lays out the foundation to practical applications in a broad range of fields;

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Polytopes and Discrete Geometry

: the combinatorics, geometry, and symmetries of convex polytopes; tilings; discrete point sets; the combinatorics of Eulerian posets and;

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Geometric Function Theory in One and Higher Dimensions

This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher;

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Geometric Function Theory in One and Higher Dimensions

This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher;

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Incompressible Flow and the Finite Element Method

coverage of the prototypical fluid mechanics equation: the advection-diffusion equation. For both this equation and the equations of principal;

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