- Hypocoercivity based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs
2017/09/30 by Liu Liu, Shi Jin, Liu, Liu +1 · 3 citations
Decision Sciences · Engineering · Mathematics · #35Q20 #65M70 #Analysis of PDEs (math.AP) #Applied mathematics #Backward Euler method #Classical mechanics #Computational Fluid Dynamics and Aerodynamics #Euler equations #Euler's formula #Exponential function #FOS: Mathematics #Galerkin method #Gas Dynamics and Kinetic Theory #Kinetic energy #Mathematical analysis #Mathematics #Nonlinear system #Norm (philosophy) #Numerical Analysis (math.NA) #Physics #Probabilistic and Robust Engineering Design #Sobolev space
- Discrete mechanics and variational integrators
2001/05/01 by Jerrold E. Marsden, Matthew West · 30 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Backward Euler method #Computer science #Discretization #Dissipation #Integrator #Mathematical analysis #Mathematics #Model Reduction and Neural Networks #Noether's theorem #Numerical methods for differential equations #Physics #Quantum mechanics #Semi-implicit Euler method #Symplectic geometry #Symplectic integrator #Symplectic manifold #Variational integrator #Verlet integration
- Strong Stability-Preserving High-Order Time Discretization Methods
2001/01/01 by Sigal Gottlieb, Chi-Wang Shu, Chi‐Wang Shu +1 · 136 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Backward Euler method #Class (philosophy) #Computational Fluid Dynamics and Aerodynamics #Computer science #Differential algebraic equation #Differential equation #Discretization #Euler equations #Euler method #Euler's formula #Hyperbolic partial differential equation #Linear multistep method #Mathematical analysis #Mathematics #Nonlinear system #Numerical methods for differential equations #Ordinary differential equation #Partial differential equation #Physics #Runge–Kutta methods #Stability (learning theory) #Total variation diminishing
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
2001/01/01 by Desmond J. Higham · 127 citations
Economics, Econometrics and Finance · Engineering · Mathematics · #Applied mathematics #Backward Euler method #Computer science #Convergence (economics) #Differential algebraic equation #Differential equation #Euler equations #Euler method #Euler's formula #Fluid Dynamics and Turbulent Flows #Mathematical analysis #Mathematics #Ordinary differential equation #Runge–Kutta method #Stability (learning theory) #Stochastic differential equation #Stochastic partial differential equation #Stochastic processes and financial applications #Stochastic processes and statistical mechanics
- Euler Sums and Contour Integral Representations
1998/01/01 by Philippe Flajolet, Bruno Salvy · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Algorithm #Analytic Number Theory Research #Arithmetic zeta function #Backward Euler method #Computation #Euler equations #Euler number (physics) #Euler summation #Euler's formula #Harmonic number #Mathematical analysis #Mathematics #Methods of contour integration #Prime zeta function #Proof of the Euler product formula for the Riemann zeta function #Pure mathematics #Riemann hypothesis #Semi-implicit Euler method #Simple (philosophy)
- Evaluation of Triple Euler Sums
1996/08/07 by Jonathan M. Borwein, Roland Girgensohn · 1 citation
Mathematics · Computer Science · #Geometric and Algebraic Topology #Advanced Combinatorial Mathematics #semigroups and automata theory #Mathematics #Euler's formula #Combinatorics #Euler number (physics) #Discrete mathematics #Mathematical analysis #Euler equations #Backward Euler method
- On the Evaluation of Euler Sums
1994/01/01 by Richard E. Crandall, Joe Buhler · 2 citations
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Arithmetic zeta function #Backward Euler method #Euler equations #Euler number (physics) #Euler summation #Euler's formula #Euler's totient function #Function (biology) #Harmonic number #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Prime zeta function #Proof of the Euler product formula for the Riemann zeta function #Pure mathematics #Riemann hypothesis #Riemann zeta function #Semi-implicit Euler method #Series (stratigraphy) #Type (biology)