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Numerical Bifurcation Analysis for Reaction-Diffusion Equations

This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion;

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Spatial Dynamics and Pattern Formation in Biological Populations

mathematical models and detailed analysis (such as linear stability, weakly nonlinear analysis, bifurcation analysis, control theory, numerical;

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Method Of Lines Analysis Of Turing Models

interested in developing computer-based analysis for reaction-diffusion PDE systems without having to first study numerical methods and computer;

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A Closer Look of Nonlinear Reaction-Diffusion Equations

the introduction of non-linear reaction-diffusion systems, various boundary conditions and examples. Real-life application of non-linear;

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Differential Equations and Mathematical Biology

spiral waves Recent developments in tumor biology More on the numerical solution of differential equations and numerical bifurcation analysis;

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Bifurcation Theory And Applications

theories recently developed by the authors, on steady state bifurcation for a class of nonlinear problems with even order nondegenerate;

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Bifurcation Theory And Applications

theories recently developed by the authors, on steady state bifurcation for a class of nonlinear problems with even order nondegenerate;

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Theory and Applications of Abstract Semilinear Cauchy Problems

analysis method and bifurcation approach in dynamical systems, then the nonlinear dynamics such as the stability of equilibria, center manifold;

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Challenges in Scientific Computing - CISC 2002

This book is a collection of conference proceedings mainly concerned with the problem class of nonlinear transportdiffusionreaction;

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Modeling and Simulation of Reactive Flows

analysis of uncertainties with numerical results, making this a useful reference for anyone who is interested in both combustion in free flow and;

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Analysis of Reaction-Diffusion Models with the Taxis Mechanism

researchers interested in mathematical development of reaction-diffusion theory and its application and can be a basis for a graduate course;

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Analysis of Reaction-Diffusion Models with the Taxis Mechanism

researchers interested in mathematical development of reaction-diffusion theory and its application and can be a basis for a graduate course;

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Ordinary Differential Equations

first- and second-order equations are covered first, followed by numerical and graphical methods, and bifurcation theory. Higher dimensional;

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Nonlinear Systems Of Partial Differential Equations

The book presents the theory of diffusion-reaction equations starting from the VolterraLotka systems developed in the eighties for;

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Computational Differential Equations

implementation issues in detail. These volumes are ideal for undergraduates studying numerical analysis or differential equations. This is a new edition;

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The Hybrid High-Order Method for Polytopal Meshes: Design, Analysis, and Applications

This monograph provides an introduction to the design and analysis of Hybrid High-Order methods for diffusive problems, along with a panel;

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The Hybrid High-Order Method for Polytopal Meshes

This monograph provides an introduction to the design and analysis of Hybrid High-Order methods for diffusive problems, along with a panel;

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Modeling of Diffusion-Reaction System in the Neuromuscular Junction

A new stable and accurate numerical method is used to solve the equations with Neumann boundaries in cylindrical coordinates. The;

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An analysis of the TR-BDF2 integration scheme

demonstrate how these problems can be rectified with the TR-BDF2 scheme. Several examples are presented, including an advection-diffusion-reaction;

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Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology

complexity of these models depend upon whether the biochemical reactions are diffusion-limited or reaction-limited. In the former case, one needs to;

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Critical Parabolic-Type Problems

abstract evolutionary equations, with applications to the Navier-Stokes system, the quasi-geostrophic equation, and fractional reaction-diffusion;

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Fractional Differential Equations

Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for;

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Abstract Parabolic Evolution Equations and Lojasiewicz-Simon Inequality I

here for the first time. In the second version, these abstract results are applied to reaction-diffusion equations with discontinuous;

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Numerical Analysis

topics include: * Solution of equations for engineering design and analysis * Numerical search for roots of algebraic and transcendental;

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Bifurcation And Chaos In Simple Dynamical Systems

This book presents a detailed analysis of bifurcation and chaos in simple non-linear systems, based on previous works of the author;

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Numerical Solution Of Partial Differential Equations In Science And Engineering

...NUMERICAL ANALYSIS FOR APPLIED SCIENCE Myron B. Allen and Eli L. Isaacson. A modern, practical look at numerical analysis, this book guides readers;

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Global Bifurcation in Variational Inequalities

An up-to-date and unified treatment of bifurcation theory for variational inequalities in reflexive spaces and the use of the theory in a;

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