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  1. Understanding Structural Equation Modeling A Manual for Researchers

    This book presents a comprehensive overview of Structural Equation Modeling and how it can be applied to address research issues in different...
    J.P. Verma, Priyam Verma in Synthesis Lectures on Mathematics & Statistics
    Book 2024

  2. The Characteristic Equation

    This chapter is devoted to compact graphs formed by a finite number of bounded intervals. We already know that the spectrum of the corresponding...
    Pavel Kurasov in Spectral Geometry of Graphs
    Chapter Open access 2024

  3. Friedmann Equation

    In this chapter we first derive in detail the Friedmann equation from Einstein’s equations applied to the entire universe. Then we point out various...
    Michal Křížek, Lawrence Somer in Mathematical Aspects of Paradoxes in Cosmology
    Chapter 2023

  4. The Cable Equation

    In Chapter 6, we studied a simple version of the cable equation, where a diffusion term was added to the FitzHugh-Nagumo equations. In this chapter,...
    Karoline Horgmo Jæger, Aslak Tveito in Differential Equations for Studies in Computational Electrophysiology
    Chapter Open access 2023

  5. The Diffusion Equation

    The diffusion equation appears in many applications in science and engineering, and computational physiology is no exception. In its most basic form,...
    Karoline Horgmo Jæger, Aslak Tveito in Differential Equations for Studies in Computational Electrophysiology
    Chapter Open access 2023

  6. The Laplace Equation

    In this chapter, the Laplace equation is introduced. They are given the basic properties of elliptic problems, the fundamental solutions, integral...
    Svetlin G. Georgiev in An Excursion Through Partial Differential Equations
    Chapter 2023

  7. The Heat Equation

    This chapter deals with the heat equation. They are considered the weak and strong maximum principles, the Cauchy problem, the mean value formula,...
    Svetlin G. Georgiev in An Excursion Through Partial Differential Equations
    Chapter 2023

  8. The Wave Equation

    This chapter is concerned with the wave equation. They are investigated one, two and three dimensional wave equations, method of separation of...
    Svetlin G. Georgiev in An Excursion Through Partial Differential Equations
    Chapter 2023

  9. A Simple Cable Equation

    The cable equation was first derived to model transport of electrical signals in telegraphic cables. But it later gained enormous popularity as a...
    Karoline Horgmo Jæger, Aslak Tveito in Differential Equations for Studies in Computational Electrophysiology
    Chapter Open access 2023

  10. Many-Body Schrödinger Equation Scattering Theory and Eigenfunction Expansions

    Spectral properties for Schrödinger operators are a major concern in quantum mechanics both in physics and in mathematics. For the few-particle...
    Hiroshi Isozaki in Mathematical Physics Studies
    Book 2023

  11. Solving A Nonlinear Equation

    In this chapter, one of the more common mathematical problems is studied, which is to find the solution, or solutions, of an equation of the form...
    Mark H. Holmes in Introduction to Scientific Computing and Data Analysis
    Chapter 2023

  12. Nonlinear Perturbed BLMP Equation

    In the present paper we consider the non-existence of weak solutions related to a class of differential equations connected with the Airy operator....
    Sandra Lucente in Analysis, Applications, and Computations
    Conference paper 2023

  13. The Microscope Equation

    If we are in a car and we look at the speedometer and it says we are traveling 60 mph, then about how far will we travel in the next minute? 30...
    Thomas J. Pfaff in Applied Calculus with R
    Chapter 2023

  14. Solving Non-linear Fractional Coupled Burgers Equation by Sub-equation Method

    In this solution, the real results were reached in solving the nonlinear fractional Coupled Burgers equation, which represents the solution with...
    Worood A. AL-hakim, Maha S. Alsauodi, ... May Abu Jalbosh in Mathematics and Computation
    Conference paper 2023

  15. 3D Reflection Equation and Quantized Reflection Equation

    This chapter is a brief introduction to the 3D reflection equation and the quantized reflection equation. They are both fundamental and will work...
    Atsuo Kuniba in Quantum Groups in Three-Dimensional Integrability
    Chapter 2022

  16. Parareal Algorithms for the Cahn-Hilliard Equation

    In this work we are interested in designing time parallel algorithm for the Cahn-Hilliard (CH) equation.
    Gobinda Garai, Bankim C. Mandal in Domain Decomposition Methods in Science and Engineering XXVII
    Conference paper 2024

  17. Propagation of Singularities for the Wave Equation

    This expository note gives a digest version of Hörmander’s propagation of singularities theorem for the wave equation.
    Dean Baskin, Kiril Datchev in 2021-2022 MATRIX Annals
    Chapter 2024

  18. A Difference Scheme for Wave Equation

    Abstract

    The paper deals with a numerical solution of a wave equation. The solution algorithm uses optimal parameters which are obtained by using...

    A. F. Mastryukov in Numerical Analysis and Applications
    Article 13 March 2024

  19. Pál–Bell Equation and Moment Growth

    The previous chapter largely dealt with the relationship between the NTE and the NBP. The NTE is a linear equation and so there is limited...
    Emma Horton, Andreas E. Kyprianou in Stochastic Neutron Transport
    Chapter 2023

  20. The Sylvester Equation

    Consider the operator equation: \(\displaystyle AX-XB=C, \)...
    Mohammed Hichem Mortad in Counterexamples in Operator Theory
    Chapter 2022