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Convergence Analysis of Block Implicit One-Step Methods for Solving Differential/Algebraic Equations
Discover a rigorous approach to solving complex differential/algebraic systems.
This book explains a family of FSFF block implicit one-step methods and how they are analyzed for accuracy and reliability.
The text builds from the method’s structure to theoretical foundations, showing how consistency and stability lead to convergence. It uses formal tools to prove existence, uniqueness, and practical behavior on smooth, nonlinear, decoupled systems. How the FSFF block methods are formulated and applied to differential/algebraic equations Definitions of stability, consistency, and convergence in a Banach-space setting Step-by-step proofs that connect method design to error behavior and convergence order Ideal for readers seeking a solid, mathematically grounded treatment of block implicit one-step techniques.
This book explains a family of FSFF block implicit one-step methods and how they are analyzed for accuracy and reliability.
The text builds from the method’s structure to theoretical foundations, showing how consistency and stability lead to convergence. It uses formal tools to prove existence, uniqueness, and practical behavior on smooth, nonlinear, decoupled systems. How the FSFF block methods are formulated and applied to differential/algebraic equations Definitions of stability, consistency, and convergence in a Banach-space setting Step-by-step proofs that connect method design to error behavior and convergence order Ideal for readers seeking a solid, mathematically grounded treatment of block implicit one-step techniques.
65 pages, Hardcover
Published August 24, 2018
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