James Adler, Hans De Sterck, Scott MacLachlan, Luke Olson
Serija: Computational Science and Engineering
(Išleidimo metai: 31-Jul-2025, Paperback / softback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978278)
Numerical methods for approximating PDE solutions are presented in a rich exploration of discretization techniques such as finite-difference, finite-element, and finite-volume methods. Topics span foundational background, algorithmic strategies, lin...Daugiau...
Near-Boundary Fluid Mechanics focuses on the near-boundary region and its significance. It delves into topics like boundary shear stress, drag reduction using polymer additives, turbulence sources, secondary currents, log-law validity, sedimen...Daugiau...
Serija: De Gruyter Series in Applied and Numerical Mathematics
(Išleidimo metai: 02-Jun-2025, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111304397)
Methods for solving problems of mathematical physics can be divided into the following four classes. Analytical methods (the method of separation of variables, the method of characteristics, the method of Greens functions, etc.) methods...Daugiau...
This book introduces a semi- analytical method, Improved Residual Power Series Method (IRPSM), for solving boundary value problems (BVPs). Unlike traditional numerical and analytical techniques, IRPSM offers quick convergence and minimal computati...Daugiau...
Sebastiano Boscarino, Lorenzo Pareschi, Giovanni Russo
Serija: Mathematical Modeling and Computation
(Išleidimo metai: 30-Apr-2025, Paperback / softback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978193)
Implicit-explicit (IMEX) time discretization methods have proven to be highly effective for the numerical solution of a wide class of evolutionary partial differential equations (PDEs) across various contexts. These methods have become mainstream fo...Daugiau...
Dorina Mitrea, Irina Mitrea, Marius Mitrea, Michael Taylor
Serija: De Gruyter Studies in Mathematics
(Išleidimo metai: 27-Jan-2025, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111480985)
The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential operators. A new generation of Calderón-Zygmund theory is developed for variable coefficient singula...Daugiau...
This book presents results from applying Reflective Boundary Conditions (RBC) in particle simulations coupled with the Smoothed Particle Hydrodynamics (SPH) Method in two- and three-dimensional domains. The contribution of this work lies in the pr...Daugiau...
This book offers the first comprehensive account of how the logarithmic norm is used for matrices, nonlinear maps and linear differential operators, with a focus on initial and boundary value problems.Complementing the usual operator norm,...Daugiau...
This textbook provides an accessible introduction to the mathematical foundations of the finite element method for a broad audience. The author accomplishes this, in part, by including numerous exercises and illustrations. Each chapter begins with...Daugiau...
(Išleidimo metai: 31-Oct-2024, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470476663)
This book provides a detailed treatment of the various facets of modern Sturm-Liouville theory, including such topics as Weyl:ndash;Titchmarsh theory, classical, renormalized, and perturbative oscillation theory, boundary data maps, traces and deter...Daugiau...
(Išleidimo metai: 03-Sep-2024, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111458168)
This monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for weakly elliptic systems in the setting of Muckenhoupt-weighted Morrey spaces and their pre-duals. ...Daugiau...
Boundary value problems play a significant role in modeling systems characterized by established conditions at their boundaries. On the other hand, initial value problems hold paramount importance in comprehending dynamic processes and foreseeing fu...Daugiau...
This book, originating from a seminar held at Oberwolfach in 2022, introduces to state-of-the-art methods and results in the study of free boundary problems which are arising from compressible as well as from incompressible Eulers equations in ge...Daugiau...
Contains the proceedings of the AMS-EMS-SMF Special Session on Advances in Functional Analysis and Operator Theory, held July 18-22, 2022. The papers reflect the modern interplay between differential equations, functional analysis, operator algebras...Daugiau...
Boundary Value Problems and Partial Differential Equations, Seventh Edition, remains the preeminent resource for upper division undergraduate and graduate students seeking to derive, solve and interpret explicit solutions involving partial...Daugiau...
Suitable for a graduate or an advanced undergraduate course on spectral geometry, this book starts from the basics but at the same time covers some of the exciting recent developments which can be explained without too many prerequisites....Daugiau...
