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SIAM J. Sci. Comput. 41, A1066 (2019)
Efficient Quadrature Rules for Computing the Stiffness Matrices of Mass-Lumped Tetrahedral Elements for Linear Wave Problems
Geevers, S., Mulder, W., van der Vegt, J.
Geevers, S., Mulder, W., van der Vegt, J.
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SIAM J. Sci. Comput. 41, A1041 (2019)
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SIAM J. Numer. Anal. 57, 751 (2019)
Analysis of a Time-Stepping Scheme for Time Fractional Diffusion Problems with Nonsmooth Data
Li, B., Luo, H., Xie, X.
Li, B., Luo, H., Xie, X.
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SIAM J. Numer. Anal. 57, 779 (2019)
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SIAM J. Math. Anal. 51, 1209 (2019)
Linear Instability and Uniqueness of the Peaked Periodic Wave in the Reduced Ostrovsky Equation
Geyer, A., Pelinovsky, D.
Geyer, A., Pelinovsky, D.
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SIAM J. Math. Anal. 51, 1188 (2019)
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SIAM J. Math. Anal. 51, 1137 (2019)
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SIAM J. Discrete Math. 33, 643 (2019)
Optimal Control of the Two-Dimensional Stationary Navier--Stokes Equations with Measure Valued Controls
Casas, E., Kunisch, K.
Casas, E., Kunisch, K.
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SIAM J. Control Optim. 57, 1328 (2019)
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SIAM J. Discrete Math. 33, 629 (2019)
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SIAM J. Imaging Sci. 12, 716 (2019)
Data-Driven Identification of Parametric Partial Differential Equations
Rudy, S., Alla, A., Brunton, S., Kutz, J.
Rudy, S., Alla, A., Brunton, S., Kutz, J.
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SIAM J. Appl. Dyn. Syst. 18, 643 (2019)
Application of Topological Degree Theory to the Equilibrium Point in Irregular Gravitational Field
Sun, H., Li, J.
Sun, H., Li, J.
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SIAM J. Appl. Dyn. Syst. 18, 629 (2019)
An Open-System Approach to Complex Biological Networks
Rebolledo, R., Navarrete, S., Kéfi, S., Rojas, S., Marquet, P.
Rebolledo, R., Navarrete, S., Kéfi, S., Rojas, S., Marquet, P.
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SIAM J. Appl. Math. 79, 619 (2019)
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SIAM J. Appl. Math. 79, 594 (2019)
For more than 50 years, SIAM books have been a leading source of knowledge for the world’s applied mathematics and computational science communities. SIAM’s line-up of stellar, prize-winning authors and titles that address both timely and fundamental topics have made SIAM books indispensable to researchers, faculty, and students around the world. The collection includes more than 450 searchable titles for institutions to offer to their users electronically.
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Computational Mathematics with SageMath
SageMath, or Sage for short, is an open-source mathematical software system based on the Python language that provides the most recent algorithms and tools. Developed by an international community of teachers and researchers whose aim is to provide an alternative to commercial products, Sage is freely available and is supported by all modern operating systems. Computational Mathematics with SageMath focuses on the underlying mathematics necessary to use Sage efficiently and is illustrated with concrete examples. It is accessible to high school and undergraduate students as well as graduate students, teachers, and researchers.
Solitons in Two-Dimensional Shallow Water
Web-like waves, often observed on the surface of shallow water, are examples of nonlinear waves. They are generated by nonlinear interactions among several obliquely propagating solitary waves, also known as solitons. In this book, modern mathematical tools are used to analyze these two-dimensional wave patterns. The author’s primary goal is to explain some details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to shallow water waves.
Finite Element Exterior Calculus
The finite element exterior calculus, or FEEC, is a powerful new theoretical approach to the design and understanding of numerical methods to solve partial differential equations. This volume aims to help numerical analysts master the fundamentals of FEEC, including the geometrical and functional analysis preliminaries, quickly and in one place. It is also accessible to mathematicians and students of mathematics from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs.
Introduction to the Scenario Approach
This concise, practical book is for anyone interested in data-driven decision-making. Accessible to experts and nonexperts alike, it offers an overview of the scenario approach, including numerous examples and diverse applications from a broad range of domains. Practitioners can find "easy-to use recipes" while theoreticians will benefit from a rigorous treatment of the theoretical foundations of the method.
Scientific Computing: An Introductory Survey, Revised Second Edition
This book presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results. Its focus is on the motivation and ideas behind the algorithms presented. This updated edition includes pointers to Python software and the Chebfun package, and expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods. About 100 interactive educational modules accompany the book.
Frequency Domain Techniques for H-infinity Control of Distributed Parameter Systems
This book presents new computational tools for the H-infinity control of distributed parameter systems in which transfer functions are considered as input-output descriptions for the plants to be controlled. The emphasis is on the computation of the controller parameters and reliable implementation. The authors present recent studies and detailed examples and discuss reliable implementation of the controller, complemented by a software based on MATLAB.
Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations
This is the first book to provide a unified treatment of structure-preserving doubling algorithms, which have been recently studied and proven effective for notoriously challenging problems. The authors present recent developments and results for the theory of doubling algorithms for nonlinear matrix equations associated with regular matrix pencils, and highlight the use of these algorithms in achieving robust solutions for notoriously challenging problems that other methods cannot.
Numerical Analysis of Partial Differential Equations Using Maple and MATLAB
This book provides an elementary yet comprehensive introduction to the numerical solution of partial differential equations (PDEs). Used to model important phenomena, such as the heating of apartments and the behavior of electromagnetic waves, these equations have applications in engineering and the life sciences, and most can only be solved approximately using computers.
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