Moreira O. Applied Algebraic and Differential Calculus 2022 torrent

Textbook in PDF format

Applied Algebraic and Differential Calculus is an edited book consisting of 18 articles on mathematical analysis and computational methodologies for solving differential equations, as well as matrix eigenvalue, boundary value, and bifurcation problems. It includes a variety of algebraic and numerical strategies from decomposition to neural network based methods. Reading this book requires some knowledge in advanced calculus, differential equations, matrix computations. This book is intended to reach an academic audience ranging from graduate student to experienced researchers.
The Eight Epochs of Math as Regards Past and Future Matrix Computations
Solving Second-Order Differential Equations by Decomposition
Decomposition of Ordinary Differential Equations
Solution of Nonlinear Partial Differential Equations by Mixture Adomian Decomposition Method and Sumudu Transform
Higher Order Haar Wavelet Method for Solving Differential Equations
Solution of Fractional Differential Equation Systems and Computation of Matrix Mittag–Leffler Functions
Computation of Gram Matrix and Its Partial Derivative Using Precise Integration Method for Linear Time-Invariant Systems
Matrix Iteration Algorithms for Solving the Generalized Lyapunov Matrix Equation
A Brief Summary of the Finite Element Method for Differential Equations
An Efficient Finite Element Method and Error Analysis for Eigenvalue Problem of Schrödinger Equation with an Inverse Square Potential on Spherical Domain
Solving Fractional Differential Equations by Using Triangle Neural Network
A Novel Improved Extreme Learning Machine Algorithm in Solving Ordinary Differential Equations by Legendre Neural Network Methods
Bifurcation Theory of Dynamical Chaos
Bifurcation Analysis in a Two-Dimensional Neutral Differential Equation
Observations on the Computation of Eigenvalue and Eigenvector Jacobians
A Note on Some Nonlinear Principal Eigenvalue Problems
Eigenvalue Criteria for Existence of Positive Solutions to Fractional Boundary Value Problem
Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations