New Developments of Newton-Type Iterations for Solving Nonlinear Problems

Author:   Tugal Zhanlav ,  Ochbadrakh Chuluunbaatar
Publisher:   Springer International Publishing AG
Edition:   2024 ed.
ISBN:  

9783031633607


Pages:   281
Publication Date:   07 August 2024
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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New Developments of Newton-Type Iterations for Solving Nonlinear Problems


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Author:   Tugal Zhanlav ,  Ochbadrakh Chuluunbaatar
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2024 ed.
ISBN:  

9783031633607


ISBN 10:   3031633601
Pages:   281
Publication Date:   07 August 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Part 1. Newton-Type Iterations for Nonlinear Equations.- 1. Newton-Type Iterations, Convergence and Accelerations.- 2. Two-Sided Approximations.- 3. New Developments and Extensions of Newton-Type Methods.- 4. Derivative-Free Iterative Methods.- Part 2. Higher Order Iterations for Systems of Nonlinear Equations.- 5. Higher Order Newton-Type Iterations.- Part 3. Applications.- 6. Newton-Type Iterations for Solving Some Problems in Linear Algebra.

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Author Information

Academician Tugal Zhanlav’s research interests lie in computational mathematics, with a focus on wavelet analysis, spline approximations, numerical methods for linear algebra problems, iterative methods for solving nonlinear systems, and the convergence and stability of finite-difference schemes. Academician Tugal Zhanlav has authored or co-authored over 150 scientific publications. Academician Ochbadrakh Chuluunbaatar is a computational physicist with expertise in mathematical modeling, variational methods, and numerical approaches for solving few-body problems. His research focuses on high-precision calculations in quantum mechanics, particularly the energy states of multielectron atoms and molecules, multichannel scattering problems, and ionization behavior under particle impact. Academician Ochbadrakh Chuluunbaatar has authored or co-authored over 230 scientific publications and contributed to the development of valuable computing programs in the field of computational physics.

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