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Numerical Schemes for Conservation Laws

This book systematically studies upwind methods for initial value problems for scalar conservation laws in one- and multidimensions. The;

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Numerical Methods for Eulerian and Lagrangian Conservation Laws

This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and;

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Polynomial Chaos Methods for Hyperbolic Partial Differential Equations

This monograph presents computational techniques and numerical analysis to study conservation laws under uncertainty using the stochastic;

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Numerical Methods for Conservation Laws

, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A;

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Numerical Methods for Hyperbolic Equations

modelling * High order methods for hyperbolic conservation laws * Numerical methods for reactive flows * Finite volume and discontinous Galerkin;

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Lecture Notes on Numerical Methods for Hyperbolic Equations

This volume contains the lecture notes of the Short Course on Numerical Methods for Hyperbolic Equations (Faculty of Mathematics;

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Numerical Solution Of Hyperbolic Partial Differential Equati

methods, covering the theory of hyperbolic conservation laws and the theory of the numerical methods. The range of applications is broad enough to;

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Numerical Approximation of Hyperbolic Systems of Conservation Laws

This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws;

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Computing Qualitatively Correct Approximations of Balance Laws

Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous;

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Finite Volume Methods For Hyperbolic Pr

methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range;

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Solitons

Multi-dimensional solitons and their stability Numerical computation methods for some nonlinear evolution equations The geometric theory;

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Wave Propagation in Fluids

sensitivity modeling for hyperbolic conservation laws. A concluding chapter is devoted to practical recommendations to the modeler. Application;

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Quasi-Gas Dynamic Equations

The monograph is devoted to modern mathematical models and numerical methods for solving gas- and ?uid-dynamic problems based on them. Two;

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Simulating Hamiltonian Dynamics

can be applied to provide efficient numerical methods for simulating conservative models. Beginning from basic principles and continuing with;

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Front Tracking for Hyperbolic Conservation Laws

Riemann problem for the Euler equations. Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and;

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An Invitation to Applied Mathematics

comprehensible introductions to complex subjects, for example, conservation laws, CFD, SPH, BEM, and FEM Includes a rich set of applications;

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Symmetries and Applications of Differential Equations

This book is about Lie group analysis of differential equations for physical and engineering problems. The topics include;

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Electromagnetic Fields, Waves and Numerical Methods

This book gives a complete overview of the classical electromagnetic theory, together with detailed insight in modern numerical methods for;

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Control Problems for Conservation Laws with Traffic Applications

Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real;

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Control Problems for Conservation Laws with Traffic Applications

Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real;

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Magnetohydrodynamics and Fluid Dynamics

nonlocal conservation laws. It also briefly discusses Anco and Bluman's direct method for deriving conservation laws. A range of examples is used;

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Lois de Conservations Eulériennes, Lagrangiennes et Méthodes Numériques

variable offer a good alternative for the numerical computation of approximate solutions. In this monograph we seek to develop a systematic;

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Hyperbolic Conservation Laws in Continuum Physics

This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential;

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Blast Waves

knowledge of algebra and a good grasp of the concepts of conservation of mass and energy. The text includes an introduction to blast wave;

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Systems of Conservation Laws 2

Systems of conservation laws arise naturally in physics and chemistry. Following on from the previous volume, the author considers the;

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Thermomechanical Behavior of Dissipative Composite Materials

Thermomechanical Behavior of Dissipative Composite Materials presents theoretical and numerical tools for studying materials and structures;

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Mathematical Aspects of Numerical Solution of Hyperbolic Systems

This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical;

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