2016, Mathematical surveys and monographs, ISBN 1470428571, Volume 214, xxiii, 515 pages

Book

2012, Graduate studies in mathematics, ISBN 0821872915, Volume 133, xix, 363

Book

1967, Schaum's outline series, 353

Book

Journal of Computational Physics, ISSN 0021-9991, 12/2018, Volume 375, pp. 641 - 658

Co-existence of the physical and numerical boundary conditions makes implicit boundary treatment a particularly difficult problem in modern CFD simulations....

NS equations | Computational fluid dynamics | Generalized boundary equations | Implicit time integration | Implicit boundary conditions | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FINITE-DIFFERENCE SCHEMES | APPROXIMATIONS | DIRECT SIMULATIONS | PHYSICS, MATHEMATICAL | EULER | Fluid dynamics | Numerical analysis | Differential equations | Extrapolation | Boundary value problems | Simulation | Computer simulation | Partial differential equations | Newton methods | Boundary conditions | Mathematical models

NS equations | Computational fluid dynamics | Generalized boundary equations | Implicit time integration | Implicit boundary conditions | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FINITE-DIFFERENCE SCHEMES | APPROXIMATIONS | DIRECT SIMULATIONS | PHYSICS, MATHEMATICAL | EULER | Fluid dynamics | Numerical analysis | Differential equations | Extrapolation | Boundary value problems | Simulation | Computer simulation | Partial differential equations | Newton methods | Boundary conditions | Mathematical models

Journal Article

2017, First edition., ISBN 9780465093779, viii, 221 pages

"Bertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard...

Mathematics | Euler's numbers | Euler, Leonhard, 1707-1783 | History | Numbers, Complex

Mathematics | Euler's numbers | Euler, Leonhard, 1707-1783 | History | Numbers, Complex

Book

Applied Mathematics and Computation, ISSN 0096-3003, 01/2016, Volume 272, pp. 479 - 497

In the present paper a new efficient semi-implicit finite volume method is proposed for the solution of the compressible Euler and Navier Stokes equations of...

Staggered semi-implicit finite volume method | Large time steps | General equation of state (EOS) | Compressible Euler and Navier[formula omitted]Stokes equations | All Mach number flow solver | Mildly nonlinear system | Compressible Euler and Navier-Stokes equations | INCOMPRESSIBLE-FLOW | HLLC RIEMANN SOLVER | MATHEMATICS, APPLIED | THERMODYNAMIC PROPERTIES | DISCONTINUOUS GALERKIN METHOD | DIFFERENCE-SCHEMES | SHALLOW-WATER EQUATIONS | GODUNOV-TYPE SCHEMES | GAS-DYNAMICS | MAGNETOHYDRODYNAMIC FLOWS | Staggered semi implicit finite volume method | UNSTRUCTURED MESHES | Fluid dynamics | Algorithms | Mechanical engineering

Staggered semi-implicit finite volume method | Large time steps | General equation of state (EOS) | Compressible Euler and Navier[formula omitted]Stokes equations | All Mach number flow solver | Mildly nonlinear system | Compressible Euler and Navier-Stokes equations | INCOMPRESSIBLE-FLOW | HLLC RIEMANN SOLVER | MATHEMATICS, APPLIED | THERMODYNAMIC PROPERTIES | DISCONTINUOUS GALERKIN METHOD | DIFFERENCE-SCHEMES | SHALLOW-WATER EQUATIONS | GODUNOV-TYPE SCHEMES | GAS-DYNAMICS | MAGNETOHYDRODYNAMIC FLOWS | Staggered semi implicit finite volume method | UNSTRUCTURED MESHES | Fluid dynamics | Algorithms | Mechanical engineering

Journal Article

1991, Monographs and textbooks in pure and applied mathematics, ISBN 9780824783648, Volume 142., xviii, 578

Book

2008, ISBN 9812832513, xii, 562

Book

Communications in Mathematical Physics, ISSN 0010-3616, 9/2014, Volume 330, Issue 3, pp. 1179 - 1225

In this paper we deal with weak solutions to the Maxwell–Landau–Lifshitz equations and to the Hall–Magneto–Hydrodynamic equations. First we prove that these...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | NONUNIQUENESS | INCOMPRESSIBLE EULER | NAVIER-STOKES EQUATIONS | CONSERVATION | DIMENSION | IDEAL HYDRODYNAMICS | ENERGY-DISSIPATION | PHYSICS, MATHEMATICAL | EULER EQUATIONS | CONJECTURE | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | NONUNIQUENESS | INCOMPRESSIBLE EULER | NAVIER-STOKES EQUATIONS | CONSERVATION | DIMENSION | IDEAL HYDRODYNAMICS | ENERGY-DISSIPATION | PHYSICS, MATHEMATICAL | EULER EQUATIONS | CONJECTURE | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

Journal Article

10.
Full Text
Error transport equation boundary conditions for the Euler and Navier–Stokes equations

Journal of Computational Physics, ISSN 0021-9991, 02/2017, Volume 330, pp. 46 - 64

Discretization error is usually the largest and most difficult numerical error source to estimate for computational fluid dynamics, and boundary conditions...

Error transport equations | Truncation error estimation | Discretization error estimation | RECOVERY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPLETED RICHARDSON EXTRAPOLATION | PHYSICS, MATHEMATICAL | Fluid dynamics | Error analysis | Transport equations | Computational fluid dynamics | Fluid flow | Boundary conditions | Eulers equations | Navier Stokes equations | Euler-Lagrange equation | Burgers equation | Estimates | Discretization | Mathematical analysis | Outflow | Dirichlet problem | Inflow | Navier-Stokes equations

Error transport equations | Truncation error estimation | Discretization error estimation | RECOVERY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPLETED RICHARDSON EXTRAPOLATION | PHYSICS, MATHEMATICAL | Fluid dynamics | Error analysis | Transport equations | Computational fluid dynamics | Fluid flow | Boundary conditions | Eulers equations | Navier Stokes equations | Euler-Lagrange equation | Burgers equation | Estimates | Discretization | Mathematical analysis | Outflow | Dirichlet problem | Inflow | Navier-Stokes equations

Journal Article

2018, First edition., ISBN 0198794924, 162 pages

Book

12.
The numerical analysis of ordinary differential equations

: Runge-Kutta and general linear methods

1987, ISBN 9780471910466, xv, 512

Book

2016, Volume 430

Conference Proceeding

Nonlinear Analysis, ISSN 0362-546X, 09/2019, Volume 186, pp. 209 - 218

This paper is concerned with an existence and stability result on the nonlinear derivative Schrödinger equation in 1-D, which is originated by the study of the...

SYSTEM | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | ENERGY WEAK SOLUTIONS | WELL-POSEDNESS | MODEL | Fluid dynamics | Operators (mathematics) | Fluid mechanics | Compressibility | Stability | Computational fluid dynamics | Nonlinear analysis | Fluid flow | Hydrodynamics | Schroedinger equation | Euler-Lagrange equation | Steady state

SYSTEM | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | ENERGY WEAK SOLUTIONS | WELL-POSEDNESS | MODEL | Fluid dynamics | Operators (mathematics) | Fluid mechanics | Compressibility | Stability | Computational fluid dynamics | Nonlinear analysis | Fluid flow | Hydrodynamics | Schroedinger equation | Euler-Lagrange equation | Steady state

Journal Article

Multibody System Dynamics, ISSN 1384-5640, 1/2019, Volume 45, Issue 1, pp. 87 - 103

It is well known that the projective Newton–Euler equation and the Lagrange equation of second kind lead to the same result when deriving the dynamical...

Lagrangian dynamics | Engineering | Vibration, Dynamical Systems, Control | Spatial rigid multibody systems | Constrained motion | Automotive Engineering | Mechanical Engineering | Optimization | Electrical Engineering | Newton–Euler equations | Newton-Euler equations | MECHANICS | Rigid structures | Economic models | Matrix algebra | Equivalence | Multibody systems | Mathematical analysis | Differential geometry | Euler-Lagrange equation | Equations of motion | Variational principles | Matrix methods

Lagrangian dynamics | Engineering | Vibration, Dynamical Systems, Control | Spatial rigid multibody systems | Constrained motion | Automotive Engineering | Mechanical Engineering | Optimization | Electrical Engineering | Newton–Euler equations | Newton-Euler equations | MECHANICS | Rigid structures | Economic models | Matrix algebra | Equivalence | Multibody systems | Mathematical analysis | Differential geometry | Euler-Lagrange equation | Equations of motion | Variational principles | Matrix methods

Journal Article

1996, Cambridge texts in applied mathematics., ISBN 0521553768, xvi, 378

Book

Nonlinear Dynamics, ISSN 0924-090X, 10/2009, Volume 58, Issue 1, pp. 385 - 391

This paper presents the fractional order Euler–Lagrange equations and the transversality conditions for fractional variational problems with fractional...

Fractional Hamiltonian equations | Engineering | Vibration, Dynamical Systems, Control | Fractional integral | Mechanics | Automotive Engineering | Mechanical Engineering | Fractional derivative | Fractional calculus of variations | MECHANICS | CALCULUS | LINEAR VELOCITIES | SYSTEMS | VARIATIONAL-PROBLEMS | DERIVATIVES | ENGINEERING, MECHANICAL | Emergency medical services | Universities and colleges | Euler-Lagrange equation | Mathematical analysis

Fractional Hamiltonian equations | Engineering | Vibration, Dynamical Systems, Control | Fractional integral | Mechanics | Automotive Engineering | Mechanical Engineering | Fractional derivative | Fractional calculus of variations | MECHANICS | CALCULUS | LINEAR VELOCITIES | SYSTEMS | VARIATIONAL-PROBLEMS | DERIVATIVES | ENGINEERING, MECHANICAL | Emergency medical services | Universities and colleges | Euler-Lagrange equation | Mathematical analysis

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 4/2019, Volume 70, Issue 2, pp. 1 - 13

The Lie symmetry analysis method and Bäcklund transformation method are proposed for finding similarity reduction and exact solutions to Euler equation and...

Engineering | Euler equation | Lie symmetry analysis method | Mathematical Methods in Physics | Navier–Stokes equation | Bäcklund transformation | 76M60 | 35Q31 | 35Q30 | Theoretical and Applied Mechanics | 35Q51 | 35C08 | EXISTENCE | MATHEMATICS, APPLIED | EXPLICIT SOLUTIONS | LUMP-KINK SOLUTIONS | WELL-POSEDNESS | Navier-Stokes equation | ROSSBY SOLITARY WAVES | TRAVELING-WAVE SOLUTIONS | BACKLUND-TRANSFORMATIONS | LIE SYMMETRY ANALYSIS | Backlund transformation | WEAK SOLUTIONS | Differential equations | Economic models | Partial differential equations | Fluid dynamics | Nonlinear differential equations | Fluid flow | Exact solutions | Euler-Lagrange equation | Generalized method of moments | Reduction | Mathematical analysis | Transformations | Navier-Stokes equations | Symmetry

Engineering | Euler equation | Lie symmetry analysis method | Mathematical Methods in Physics | Navier–Stokes equation | Bäcklund transformation | 76M60 | 35Q31 | 35Q30 | Theoretical and Applied Mechanics | 35Q51 | 35C08 | EXISTENCE | MATHEMATICS, APPLIED | EXPLICIT SOLUTIONS | LUMP-KINK SOLUTIONS | WELL-POSEDNESS | Navier-Stokes equation | ROSSBY SOLITARY WAVES | TRAVELING-WAVE SOLUTIONS | BACKLUND-TRANSFORMATIONS | LIE SYMMETRY ANALYSIS | Backlund transformation | WEAK SOLUTIONS | Differential equations | Economic models | Partial differential equations | Fluid dynamics | Nonlinear differential equations | Fluid flow | Exact solutions | Euler-Lagrange equation | Generalized method of moments | Reduction | Mathematical analysis | Transformations | Navier-Stokes equations | Symmetry

Journal Article

Nonlinear Differential Equations and Applications NoDEA, ISSN 1021-9722, 10/2018, Volume 25, Issue 5, pp. 1 - 15

By introducing a new averaged quantity with a fast decay weight to perform Sideris’s argument (Commun Math Phys 101:475–485, 1985) developed for the Euler...

Fast decay weight | 35L40 | Spherically symmetric solutions | Analysis | Averaged quantity | Mathematics | 35L45 | 58J45 | 58J47 | FLUIDS | MATHEMATICS, APPLIED | PARTIAL-DIFFERENTIAL-EQUATIONS | Economic models | Compressibility | Decay rate | Singularities | Mathematical analysis | Sobolev space | Eulers equations | Euler-Lagrange equation | Mathematics - Analysis of PDEs

Fast decay weight | 35L40 | Spherically symmetric solutions | Analysis | Averaged quantity | Mathematics | 35L45 | 58J45 | 58J47 | FLUIDS | MATHEMATICS, APPLIED | PARTIAL-DIFFERENTIAL-EQUATIONS | Economic models | Compressibility | Decay rate | Singularities | Mathematical analysis | Sobolev space | Eulers equations | Euler-Lagrange equation | Mathematics - Analysis of PDEs

Journal Article

Aerospace Science and Technology, ISSN 1270-9638, 06/2018, Volume 77, pp. 286 - 298

Computational fluid dynamics codes using the density-based compressible flow formulation of the Navier–Stokes equations have proven to be very successful for...

Shear stress transport turbulence model | Turbulent low-speed preconditioning | Reynolds-averaged Navier–Stokes equations | Blade/vortex interaction | Darrieus wind turbine aerodynamics | Reynolds-averaged Navier-Stokes equations | FLOWS | ENGINEERING, AEROSPACE | EULER EQUATIONS | Aerodynamics | Turbulence | Models | Air-turbines | Algorithms | Analysis

Shear stress transport turbulence model | Turbulent low-speed preconditioning | Reynolds-averaged Navier–Stokes equations | Blade/vortex interaction | Darrieus wind turbine aerodynamics | Reynolds-averaged Navier-Stokes equations | FLOWS | ENGINEERING, AEROSPACE | EULER EQUATIONS | Aerodynamics | Turbulence | Models | Air-turbines | Algorithms | Analysis

Journal Article

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