General Linear Methods for Ordinary Differential Equations
()
About this ebook
General Linear Methods for Ordinary Differential Equations fills a gap in the existing literature by presenting a comprehensive and up-to-date collection of recent advances and developments in the field. This book provides modern coverage of the theory, construction, and implementation of both classical and modern general linear methods for solving ordinary differential equations as they apply to a variety of related areas, including mathematics, applied science, and engineering.
The author provides the theoretical foundation for understanding basic concepts and presents a short introduction to ordinary differential equations that encompasses the related concepts of existence and uniqueness theory, stability theory, and stiff differential equations and systems. In addition, a thorough presentation of general linear methods explores relevant subtopics such as pre-consistency, consistency, stage-consistency, zero stability, convergence, order- and stage-order conditions, local discretization error, and linear stability theory. Subsequent chapters feature coverage of:
- Differential equations and systems
-
Introduction to general linear methods (GLMs)
-
Diagonally implicit multistage integration methods (DIMSIMs)
-
Implementation of DIMSIMs
-
Two-step Runge-Kutta (TSRK) methods
-
Implementation of TSRK methods
-
GLMs with inherent Runge-Kutta stability (IRKS)
-
Implementation of GLMs with IRKS
General Linear Methods for Ordinary Differential Equations is an excellent book for courses on numerical ordinary differential equations at the upper-undergraduate and graduate levels. It is also a useful reference for academic and research professionals in the fields of computational and applied mathematics, computational physics, civil and chemical engineering, chemistry, and the life sciences.
Related to General Linear Methods for Ordinary Differential Equations
Related ebooks
Extensions of Linear-Quadratic Control, Optimization and Matrix Theory Rating: 0 out of 5 stars0 ratingsNumerical Methods for Initial Value Problems in Ordinary Differential Equations Rating: 5 out of 5 stars5/5Optimization: Foundations and Applications Rating: 0 out of 5 stars0 ratingsNumerical Methods for Partial Differential Equations Rating: 0 out of 5 stars0 ratingsEssentials of Scientific Computing: Numerical Methods for Science and Engineering Rating: 0 out of 5 stars0 ratingsLinear Models in Statistics Rating: 0 out of 5 stars0 ratingsModern Control Engineering: Pergamon Unified Engineering Series Rating: 4 out of 5 stars4/5A Course of Mathematics for Engineerings and Scientists: Volume 2 Rating: 0 out of 5 stars0 ratingsNumerical Solution of Ordinary Differential Equations Rating: 5 out of 5 stars5/5Optimal State Estimation: Kalman, H Infinity, and Nonlinear Approaches Rating: 0 out of 5 stars0 ratingsGeneralized Linear Models: with Applications in Engineering and the Sciences Rating: 4 out of 5 stars4/5Dynamic System Identification: Experiment Design and Data Analysis Rating: 0 out of 5 stars0 ratingsSequence Transformations and Their Applications Rating: 0 out of 5 stars0 ratingsData Analysis for Scientists and Engineers Rating: 0 out of 5 stars0 ratingsComputer-Aided Analysis of Difference Schemes for Partial Differential Equations Rating: 0 out of 5 stars0 ratingsFundamentals of Matrix Computations Rating: 0 out of 5 stars0 ratingsIntroduction to Applied Statistical Signal Analysis: Guide to Biomedical and Electrical Engineering Applications Rating: 0 out of 5 stars0 ratingsComputational Methods in Engineering Boundary Value Problems Rating: 0 out of 5 stars0 ratingsStability and Control of Aircraft Systems: Introduction to Classical Feedback Control Rating: 0 out of 5 stars0 ratingsSimulation: A Modeler's Approach Rating: 0 out of 5 stars0 ratingsFinite Element Methods for Viscous Incompressible Flows: A Guide to Theory, Practice, and Algorithms Rating: 0 out of 5 stars0 ratingsNumerical Methods in Finance: A MATLAB-Based Introduction Rating: 0 out of 5 stars0 ratingsConcurrency Control in Distributed Database Systems Rating: 0 out of 5 stars0 ratingsFourier Series and Numerical Methods for Partial Differential Equations Rating: 0 out of 5 stars0 ratingsAdvanced Derivatives Pricing and Risk Management: Theory, Tools, and Hands-On Programming Applications Rating: 0 out of 5 stars0 ratingsApplied Iterative Methods Rating: 0 out of 5 stars0 ratingsAnalyzing Environmental Data Rating: 0 out of 5 stars0 ratingsOptimization Methods for Logical Inference Rating: 0 out of 5 stars0 ratingsIntroduction to Combinatorics Rating: 5 out of 5 stars5/5Statistical Methods for Social Scientists Rating: 0 out of 5 stars0 ratings
Mathematics For You
My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Calculus Made Easy Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsReal Estate by the Numbers: A Complete Reference Guide to Deal Analysis Rating: 0 out of 5 stars0 ratingsThe Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Alan Turing: The Enigma: The Book That Inspired the Film The Imitation Game - Updated Edition Rating: 4 out of 5 stars4/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Flatland Rating: 4 out of 5 stars4/5Algebra I For Dummies Rating: 4 out of 5 stars4/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Logicomix: An epic search for truth Rating: 4 out of 5 stars4/5The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives Rating: 4 out of 5 stars4/5Is God a Mathematician? Rating: 4 out of 5 stars4/5Basic Math Notes Rating: 5 out of 5 stars5/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5
Reviews for General Linear Methods for Ordinary Differential Equations
0 ratings0 reviews