Thema Numerische Mathematik – alle Bücher, Seite 2

Simon-Christian Klein
Entropy Aware Numerical Schemes for Hyperbolic Conservation Laws

Hyperbolic systems of conservation laws are known to produce discontinuous solutions in finite time. These discontinuous solutions to a differential equation can be only carried on in the context of weak …

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Ina Krabbe
Das magische Mal - Chaos in der Zauberschule

'Das vergnügliche Durcheinander ist ein großer Lesespaß und lädt in jedem Kapitel zum Mitraten und Mitrechnen ein'Clarissa Marlon und Elmar müssen 1x1-Zaubersprüche büffeln nervig! Als sie in der Schulbi…

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Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt
Fast Computation of Volume Potentials by Approximate Approximations

Lecture Notes in Mathematics - Band 2378

This book introduces a new fast high-order method for approximating volume potentials and other integral operators with singular kernel. These operators arise naturally in many fields, including physics, …

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Chongyang Liu, Song Wang, Zhaohua Gong
Nonlinear Fractional Optimal Control

Springer Optimization and Its Applications - Band 237

Fractional optimal control problems (FOCPs) are a generalization of the conventional optimal control problems of integer order in the sense that the dynamics are governed by fractional systems. FOCPs aris…

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Zhendong Luo
Finite Element and Reduced Dimension Methods for Partial Differential Equations

This book aims to provide with some approaches for lessening the unknowns of the FE methods of unsteady PDEs. It provides a very detailed theoretical foundation of finite element (FE) and mixed finite ele…

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Albert C. J. Luo
Two-dimensional Product-Cubic Systems, Vol. I

This book, the fifth of 15 related monographs, presents systematically a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields. The product-cubic vector field is…

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Mustapha Mokhtar-Kharroubi
Peripheral Spectra of Perturbed Positive Semigroups

Lecture Notes in Mathematics - Band 2388

This monograph provides new functional analytic developments on spectral problems in various applied fields such as jump equations, Kolmogorov differential equations, weighted graphs, neutron transport th…

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P. N. Natarajan
An Introduction to Ultrametric Summability Theory

Forum for Interdisciplinary Mathematics

This is a completely revised and expanded edition of the author's first book, covering numerous new topics and recent developments in ultrametric summability theory. Ultrametric analysis has emerged as an…

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Iordanka Panayotova, Maila Hallare, Viktoria Savatorova
Mathematical Modeling in Life Sciences

Synthesis Lectures on Mathematics & Statistics

This textbook offers an introduction to the mathematical modeling of complex living systems. The authors guide undergraduate students in modeling ecological and biomedical problems using differential equa…

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Fraser Sampson
How AI-Driven Surveillance is Changing our World

Security Informatics and Law Enforcement

This book takes the complex and highly topical theme of AI-driven surveillance and reduces it to simple but important questions. Drawing upon the author's professional experience as UK's first joint Biome…

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Jr. Schmerr
MATLAB Essentials: Symbolic and Numeric Problem-Solving in Engineering

This book introduces MATLAB as a direct problem-solving tool, where the many built-in functions and commands of MATLAB can be used to perform even complex tasks. In this mode MATLAB acts as a very advance…

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Alexander Leonidovich Skubachevskii, Leonid Efimovich Rossovskii
Partial Differential Equations Theory

De Gruyter Textbook

Most modern textbooks on partial differential equations either contain proofs of fundamental results only in special cases, or proof outlines, or do not contain proofs at all. This textbook, despite its r…

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Robert Sobot
Engineering Mathematics by Example

This textbook is a complete, self-sufficient, self-study/tutorial-type source of mathematical problems. It serves as a primary source for practicing and developing mathematical skills and techniques that …

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Ercília Sousa
Finite Difference Methods for Fractional Diffusion Equations

Lecture Notes in Mathematics - Band 2389

This book provides a self-contained introduction to finite difference methods for time-dependent space-fractional diffusion equations, emphasizing their theoretical properties and practical computational …

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Predrag S. Stanimirovi¿, Yimin Wei, Shuai Li, Dimitrios Gerontitis
Generalized Matrix Inversion: A Machine Learning Approach

Background Information.- 2 Gradient Neural Network (GNN) and their Modifications.- 3 Zeroing Neural Network (ZNN).- 4 From iterations to ZNNs and vice versa, 5 Modified ZNN dynamical systems.

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Brian Straughan
Oskolkov Equations and Thermal Convection

This monograph offers an overview of the active research area involving the class of PDEs known as Oskolkov equations. The author's analysis of these equations concentrates on thermal convection in a laye…

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Brian Straughan
Thermal Convection with a Cattaneo Flux Law

This monograph provides an account of thermal convection with a focus on Cattaneo's heat flux equation. Various applications of the equation are analyzed, such as those pertaining to nanoscale mechanics, …

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Bing Sun, Bao-Zhu Guo, Zhen-Zhen Tao
Maximum Principle and Dynamic Programming Viscosity Solution Approach

Systems & Control: Foundations & Applications

This book is concerned with optimal control problems of dynamical systems described by partial differential equations (PDEs). The content covers the theory and numerical algorithms, starting with open-loo…

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Zhi-Zhong Sun, Qifeng Zhang, Guang-Hua Gao
Numerical Solutions to Partial Differential Equations with Finite Difference Methods

Springer Asia Pacific Mathematics Series - Band 9

This book presents finite difference methods for three types of classical linear PDEs, three types of nonlinear PDEs and fractional PDEs. Specific topics cover two-point boundary value problems, elliptic …

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Ferdinand Verhulst
Averaging for Nonlinear Dynamics with Applications and Numerical Bifurcations

Applied Mathematical Sciences - Band 223

This book presents a comprehensive and practical survey of averaging methods for differential equations. Combining rigorous theory with applied perspectives, this book serves as both a study text and a re…

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