Hyperbolic Partial Differential Equations
eBook - PDF

Hyperbolic Partial Differential Equations

Populations, Reactors, Tides and Waves: Theory and Applications

  1. 253 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Hyperbolic Partial Differential Equations

Populations, Reactors, Tides and Waves: Theory and Applications

About this book

Hyperbolic Partial Differential Equations, Volume 1: Population, Reactors, Tides and Waves: Theory and Applications covers three general areas of hyperbolic partial differential equation applications. These areas include problems related to the McKendrick/Von Foerster population equations, other hyperbolic form equations, and the numerical solution. This text is composed of 15 chapters and begins with surveys of age specific population interactions, populations models of diffusion, nonlinear age dependent population growth with harvesting, local and global stability for the nonlinear renewal equation in the Von Foerster model, and nonlinear age-dependent population dynamics. The next chapters deal with various applications of hyperbolic partial differential equations to such areas as age-structured fish populations, density dependent growth in a cell colony, boll-weevil-cotton crop modeling, age dependent predation and cannibalism, parasite populations, growth of microorganisms, and stochastic perturbations in the Von Foerster model. These topics are followed by discussions of bifurcation of time periodic solutions of the McKendrick equation; the periodic solution of nonlinear hyperbolic problems; and semigroup theory as applied to nonlinear age dependent population dynamics. Other chapters explore the stability of biochemical reaction tanks, an ADI model for the Laplace tidal equations, the Carleman equation, the nonequilibrium behavior of solids that transport heat by second sound, and the nonlinear hyperbolic partial differential equations and dynamic programming. The final chapters highlight two explicitly numerical applications: a predictor-convex corrector method and the Galerkin approximation in hyperbolic partial differential equations. This book will prove useful to practicing engineers, population researchers, physicists, and mathematicians.

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Yes, you can access Hyperbolic Partial Differential Equations by Matthew Witten in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2014
Print ISBN
9780080302546
eBook ISBN
9781483155630
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Hyperbolic Partial Differential Equations Populations, Reactors, Tides and Waves: Theory and Application
  3. Copyright Page
  4. Table of Contents
  5. FOREWORD
  6. Chapter 1. EDITOR'S REMARKS: HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS: A FEW OPENING COMMENTS
  7. Chapter 2. ON THE QUALITATIVE BEHAVIOUR OF POPULATIONSWITH AGE-SPECIFIC INTERACTIONS
  8. Chapter 3. SIMPLE POPULATION MODELS WITH DIFFUSION
  9. Chapter 4. NONLINEAR AGE-DEPENDENT POPULATION GROWTHUNDER HARVESTING
  10. Chapter 5. LOCAL AND GLOBAL STABILITY FOR THESOLUTIONS OF A NONLINEAR RENEWAL EQUATION
  11. Chapter 6. SOME CONSIDERATIONS ON THE MATHEMATICAL APPROACH TO NONLINEAR AGE DEPENDENT POPULATION DYNAMICS
  12. Chapter 7. POPULATION MODELS WITH GLOBALLYAGE-DEPENDENT DYNAMICS: O N COMPUTINGTHE STEADY STATE
  13. Chapter 8. ASYMPTOTIC BEHAVIOR OF AN AGE-STRUCTUREDFISH POPULATION
  14. Chapter 9. DENSITY DEPENDENT CELLULAR GROWTH IN AN AGE STRUCTURED COLONY
  15. Chapter 10.A PDE FORMULATION AND NUMERICAL SOLUTION FOR A BOLL WEEVIL-COTTON CROP MODEL
  16. Chapter 11. MODELS OF AGE-DEPENDENT PREDATION AND CANNIBALISM VIA THE McKENDRICK EQUATION
  17. Chapter 12. NONLINEAR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS FOR THE DYNAMICS OF PARASITE POPULATIONS
  18. Chapter 13. STABILITY ANALYSIS OF A DISTRIBUTED PARAMETER MODEL FOR THE GROWTH OF MICRO-ORGANISMS
  19. Chapter 14. PARTIAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
  20. Chapter 15. ON STOCHASTICITY IN THE VON FOERSTER HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION SYSTEM
  21. Chapter 16. BIFURCATION OF TIME PERIODIC SOLUTIONS OF THE McKENDRICK EQUATIONS WITH APPLICATIONS TO POPULATION DYNAMICS
  22. Chapter 17. PERIODIC SOLUTIONS OF NONLINEAR HYPERBOLIC PROBLEMS
  23. Chapter 18. THE SEMIGROUP ASSOCIATED WITH NONLINEAR AGE DEPENDENT POPULATION DYNAMICS
  24. Chapter 19. STABILITY OF BIOCHEMICAL REACTION TANKS
  25. Chapter 20. A SPECIAL ADI MODEL FOR THE LAPLACE TIDAL EQUATIONS
  26. Chapter 21. INITIAL BOUNDARY VALUE PROBLEMS FOR THE CARLEMAN EQUATION
  27. Chapter 22. ON THE NONEQUILIBRIUM BEHAVIOR OF SOLIDS THAT TRANSPORT HEAT BY SECOND SOUND
  28. Chapter 23. NONLINEAR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS AND DYNAMIC PROGRAMMING
  29. Chapter 24. EXPLICIT FINITE DIFFERENCE PREDICTOR AND CONVEX CORRECTOR WITH APPLICATIONS TO HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS
  30. Chapter 25. STABLE AND UNSTABLE NUMERICAL BOUNDARY CONDITIONS FOR GALERKIN APPROXIMATIONS TO HYPERBOLIC SYSTEMS
  31. INDEX