Numerical Solution of Ordinary Differential Equations
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A01=L.F. Shampine
Absolute Error Tolerance
Adams Moulton Formulas
Author_L.F. Shampine
Backward Euler Method
Category=PBKJ
Category=PBKS
Category=PBW
Category=UYA
Characteristic Polynomial
Constant Coefficient Difference Equation
Constant Step Size
convergence of algorithms
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error estimation techniques
Error Tolerance
Explicit Runge Kutta Methods
initial value problems
Iteration Matrix
Linearly Independent
Lipschitz Condition
Lipschitz Constant
Local Truncation Error
numerical stability analysis
Ordinary Differential Equations
Periodic Solution
practical implementation of ODE solvers
Pseudo Steady State Approximation
Relative Error Tolerance
Runge Kutta Formulas
Runge-Kutta methods
Solution Component
Stability Polynomial
Standard Form
Step Size
stiff differential equations
Stiff Problems
Sturm Liouville Problem
Traveling Wave Solution
Product details
- ISBN 9780367449568
- Weight: 453g
- Dimensions: 156 x 234mm
- Publication Date: 30 Jun 2020
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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This new work is an introduction to the numerical solution of the initial value problem for a system of ordinary differential equations. The first three chapters are general in nature, and chapters 4 through 8 derive the basic numerical methods, prove their convergence, study their stability and consider how to implement them effectively. The book focuses on the most important methods in practice and develops them fully, uses examples throughout, and emphasizes practical problem-solving methods.
Shampine, L.F.
