Hyperbolic Partial Differential Equations
Modern Applied Mathematics and Computer Science
- 268 pages
- English
- PDF
- Only available on web
Hyperbolic Partial Differential Equations
Modern Applied Mathematics and Computer Science
About This Book
Hyperbolic Partial Differential Equations III is a refereed journal issue that explores the applications, theory, and/or applied methods related to hyperbolic partial differential equations, or problems arising out of hyperbolic partial differential equations, in any area of research. This journal issue is interested in all types of articles in terms of review, mini-monograph, standard study, or short communication. Some studies presented in this journal include discretization of ideal fluid dynamics in the Eulerian representation; a Riemann problem in gas dynamics with bifurcation; periodic McKendrick equations for age-structured population growth; and logistic models of structured population growth. A number of book reviews are also included. This journal provides an interdisciplinary forum for the presentation of results not included in other particular journals, and thus will be beneficial to those interested in this field of study.
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Table of contents
- Front Cover
- Hyperbolic Partial Differential Equations
- Copyright Page
- Table of Contents
- ABOUT THIS ISSUE
- AUTHOR'S GUIDELINES
- CHAPTER 1. A CONSERVATIVE, PIECEWISE-STEADY DIFFERENCE SCHEME FOR TRANSONIC NOZZLE FLOW
- CHAPTER 2. DISCRETIZATION OF IDEAL FLUID DYNAMICS IN THE EULERIAN REPRESENTATION
- CHAPTER 3. LINEARIZED FORM OF IMPLICIT TVD SCHEMES FOR THE MULTIDIMENSIONAL EULER AND NAVIERâSTOKES EQUATIONS
- CHAPTER 4. A RIEMANN PROBLEM IN GAS DYNAMICS WITH BIFURCATION
- CHAPTER 5. SCATTERING PROPERTIES OF WAVE EQUATIONS WITH TIME-DEPENDENT POTENTIALS
- CHAPTER 6. THE INFLUENCE OF NONLINEAR CONDUCTION ON SINGULARITY FORMATION IN THE INTENSE PLANE-WAVE, NONLINEAR DIELECTRIC INTERACTION PROBLEM
- CHAPTER 7. ON THE STABILITY OF THE CELL-SIZE DISTRIBUTION II: TIME-PERIODIC DEVELOPMENTAL RATES
- CHAPTER 8. PERIODIC McKENDRICK EQUATIONS FOR AGE-STRUCTURED POPULATION GROWTH
- CHAPTER 9. LOGISTIC MODELS OF STRUCTURED POPULATION GROWTH
- CHAPTER 10. ABSTRACT STABILITY THEORY AND APPLICATIONS TO HYPERBOLIC EQUATIONS WITH TIME DEPENDENT DISSIPATIVE FORCE FIELDS
- CHAPTER 11. SINGULARITIES OF HYPERBOLIC PDEs IN TWO COMPLEX VARIABLES
- CHAPTER 12. ON THE TRICOMI PROBLEM
- CHAPTER 13. HIGH-ACCURACY FINITE-ELEMENT METHODS FOR POSITIVE SYMMETRIC SYSTEMS
- CHAPTER 14. HIGHER-ORDER SINGLE-STEP FULLY DISCRETE APPROXIMATIONS FOR NONLINEAR SECOND-ORDER HYPERBOLIC EQUATIONS
- CHAPTER 15. GALERKIN SINGLE-STEP METHODS FOR SECOND-ORDER HYPERBOLIC EQUATIONS
- CHAPTER 16. CONSTRUCTION OF SOLUTIONS FOR TWO-DIMENSIONAL RIEMANN PROBLEMS
- BOOK REVIEWS
- INDEX