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Numerical methods for partial differential equations finite difference and finite volume methods Sandip Mazumder

By: Material type: TextTextPublication details: London : Academic Press, [2016] ©2016Description: 461 pagesISBN:
  • 9780128498941
DDC classification:
  • 515.353 MAZ
Contents:
Introduction to numerical methods for solving differential equations -- The finite difference method -- Solution to a system of linear algebraic equations -- Stability and convergence of iterative solvers -- Treatment of the time derivative (parabolic and hyperbolic PDEs) -- The finite volume method (FVM) -- Unstructured finite volume method -- Miscellaneous topics.
Summary: Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow. For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful. The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational mechanics, computational fluid dynamics, or computational electromagnetics. The notations, language, and technical jargon used in the book can be easily understood by scientists and engineers who may not have had graduate-level applied mathematics or computer science courses
List(s) this item appears in: New Arrivals January March 2022
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Holdings
Item type Current library Collection Call number Status Date due Barcode
Books Books IIITDM Kurnool General Stacks 515.353 MAZ (Browse shelf(Opens below)) Available 0004276
Books Books IIITDM Kurnool General Stacks 515.353 MAZ (Browse shelf(Opens below)) Available 0004277
Books Books IIITDM Kurnool General Stacks 515.353 MAZ (Browse shelf(Opens below)) Available 0004278
Books Books IIITDM Kurnool General Stacks 515.353 MAZ (Browse shelf(Opens below)) Available 0004279
Books Books IIITDM Kurnool General Stacks 515.353 MAZ (Browse shelf(Opens below)) Available 0004280
Books Books IIITDM Kurnool General Stacks Non-fiction 515.353 MAZ (Browse shelf(Opens below)) Available 0004281
Books Books IIITDM Kurnool General Stacks 515.353 MAZ (Browse shelf(Opens below)) Checked out 26.08.2025 0004282
Books Books IIITDM Kurnool General Stacks 515.353 MAZ (Browse shelf(Opens below)) Available 0004283
Books Books IIITDM Kurnool General Stacks 515.353 MAZ (Browse shelf(Opens below)) Available 0004284
Reference Reference IIITDM Kurnool Reference Reference 515.353 MAZ (Browse shelf(Opens below)) Not For Loan 0004285

Introduction to numerical methods for solving differential equations --
The finite difference method --
Solution to a system of linear algebraic equations --
Stability and convergence of iterative solvers --
Treatment of the time derivative (parabolic and hyperbolic PDEs) --
The finite volume method (FVM) --
Unstructured finite volume method --
Miscellaneous topics.


Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow. For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful. The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational mechanics, computational fluid dynamics, or computational electromagnetics. The notations, language, and technical jargon used in the book can be easily understood by scientists and engineers who may not have had graduate-level applied mathematics or computer science courses

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