Shi. Jin

Q: What Schools Are Affiliated With Shi. Jin

Shi. Jin is affiliated with the following schools: University of Wisconsin–Madison, Shanghai Jiao Tong University, Georgia Tech

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Shi. Jin

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Applied Mathematics

#259

World Rank

#284

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Measure Theory

#1567

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#1944

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Mathematics

Shi. Jin's Degrees

Bachelors Mathematics Peking University

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Shi. Jin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The relaxation schemes for systems of conservation laws in arbitrary space dimensions (1995) (959)
Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations (1999) (479)
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime (2002) (395)
A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources (2009) (302)
ASYMPTOTIC PRESERVING (AP) SCHEMES FOR MULTISCALE KINETIC AND HYPERBOLIC EQUATIONS: A REVIEW (2010) (274)
Physical symmetry and lattice symmetry in the lattice Boltzmann method (1997) (254)
Numerical Schemes for Hyperbolic Conservation Laws with Stiff Relaxation Terms (1996) (248)
Runge-Kutta Methods for Hyperbolic Conservation Laws with Stiff Relaxation Terms (1995) (227)
Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes (2003) (217)
A steady-state capturing method for hyperbolic systems with geometrical source terms (2001) (213)
Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations (2000) (196)
Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation (1997) (179)
Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations (1998) (178)
Mathematical and computational methods for semiclassical Schrödinger equations* (2011) (167)
Numerical Approximations of Pressureless and Isothermal Gas Dynamics (2003) (137)
An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations (2012) (129)
Regularization of the Burnett Equations via Relaxation (2001) (127)
Numerical Passage from Systems of Conservation Laws to Hamilton--Jacobi Equations, and Relaxation Schemes (1998) (114)
Multi-phase computations of the semiclassical limit of the Schrödinger equation and related problems: Whitham vs Wigner (2003) (104)
The Convergence of Numerical Transfer Schemes in Diffusive Regimes I: Discrete-Ordinate Method (1999) (103)
Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation (2005) (93)
A smooth transition model between kinetic and hydrodynamic equations (2005) (85)
The Effects of Numerical Viscosities (1996) (85)
The discrete-ordinate method in diffusive regimes (1991) (84)
A time-splitting spectral scheme for the Maxwell-Dirac system (2005) (82)
Random Batch Methods (RBM) for interacting particle systems (2018) (81)
The Random Projection Method for Hyperbolic Conservation Laws with Stiff Reaction Terms (2000) (80)
A stochastic Galerkin method for the Boltzmann equation with uncertainty (2016) (78)
A level set method for the computation of multi-valued solutions to quasi-linear hyperbolic PDE's and Hamilton-Jacobi equations (2003) (77)
Gaussian beam methods for the Schrodinger equation in the semi-classical regime: Lagrangian and Eulerian formulations (2008) (77)
An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation (2010) (74)
Fully-discrete numerical transfer in diffusive regimes (1993) (71)
TWO MOMENT SYSTEMS FOR COMPUTING MULTIPHASE SEMICLASSICAL LIMITS OF THE SCHRÖDINGER EQUATION (2003) (69)
A consensus-based global optimization method for high dimensional machine learning problems (2019) (66)
Two Interface-Type Numerical Methods for Computing Hyperbolic Systems with Geometrical Source Terms Having Concentrations (2005) (63)
Numerical simulation of a generalized Zakharov system (2004) (63)
Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings (2015) (60)
Discretization of the Multiscale Semiconductor Boltzmann Equation by Diffusive Relaxation Schemes (2000) (60)
A Smooth Transition Model between Kinetic and Diffusion Equations (2004) (57)
A Domain Decomposition Analysis for a Two-Scale Linear Transport Problem (2003) (57)
Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic Equations (2017) (54)
Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems (2005) (53)
A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation (2011) (53)
A Hamiltonian-Preserving Scheme for the Liouville Equation of Geometrical Optics with Partial Transmissions and Reflections (2006) (53)
Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials ∗ (2005) (50)
Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method (2017) (48)
Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds (2006) (45)
Hypocoercivity and Uniform Regularity for the Vlasov-Poisson-Fokker-Planck System with Uncertainty and Multiple Scales (2017) (45)
Dynamics of dissolved polymer chains in isotropic turbulence (2007) (44)
A NUMERICAL SCHEME FOR THE QUANTUM BOLTZMANN EQUATION WITH STIFF COLLISION TERMS (2012) (42)
A LEVEL SET METHOD FOR THE COMPUTATION OF MULTIVALUED SOLUTIONS TO QUASI-LINEAR HYPERBOLIC PDES AND HAMILTON-JACOBI EQUATIONS (2003) (41)
An Asymptotic-Preserving Stochastic Galerkin Method for the Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings (2017) (41)
Hypocoercivity Based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs (2017) (41)
Uncertainty Quantification for Kinetic Equations (2017) (38)
Eulerian method for computing multivalued solutions of the Euler-Poisson equations and applications to wave breaking in klystrons. (2004) (37)
A Stochastic Galerkin Method for the Boltzmann Equation with Multi-Dimensional Random Inputs Using Sparse Wavelet Bases (2017) (37)
Numerical Integrations of Systems of Conservation Laws of Mixed Type (1995) (37)
Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials (2010) (37)
Convergence of a first-order consensus-based global optimization algorithm (2019) (36)
An asymptotic-preserving Monte Carlo method for the Boltzmann equation (2014) (36)
Computational high frequency waves through curved interfaces via the Liouville equation and geometric theory of diffraction (2008) (35)
On the Time Splitting Spectral Method for the Complex Ginzburg-Landau Equation in the Large Time and Space Scale Limit (2008) (35)
A HAMILTONIAN-PRESERVING SCHEME FOR HIGH FREQUENCY ELASTIC WAVES IN HETEROGENEOUS MEDIA (2006) (33)
An asymptotic-preserving stochastic Galerkin method for the radiative heat transfer equations with random inputs and diffusive scalings (2017) (32)
Hyperbolic Systems with Supercharacteristic Relaxations and Roll Waves (2000) (32)
Robust Numerical Simulation of Porosity Evolution in Chemical Vapor Infiltration (2002) (32)
A Bloch Decomposition-Based Split-Step Pseudospectral Method for Quantum Dynamics with Periodic Potentials (2007) (32)
AN EFFICIENT METHOD FOR COMPUTING HYPERBOLIC SYSTEMS WITH GEOMETRICAL SOURCE TERMS HAVING CONCENTRATIONS ∗1) (2004) (32)
A Semiclassical Transport Model for Thin Quantum Barriers (2006) (31)
A Micro-Macro Decomposition-Based Asymptotic-Preserving Scheme for the Multispecies Boltzmann Equation (2009) (31)
Regularization of the Burnett equations for rapid granular flows via relaxation (2001) (30)
The Vlasov-Poisson-Fokker-Planck System with Uncertainty and a One-dimensional Asymptotic Preserving Method (2017) (30)
A Relaxation Scheme for Solving the Boltzmann Equation Based on the Chapman-Enskog Expansion (2002) (29)
Gaussian Beam Methods for the Dirac Equation in the Semi-classical Regime (2012) (29)
The Random Projection Method for Stiff Detonation Capturing (2001) (29)
A Well-Balanced Stochastic Galerkin Method for Scalar Hyperbolic Balance Laws with Random Inputs (2016) (28)
A Stochastic Galerkin Method for Hamilton-Jacobi Equations with Uncertainty (2015) (27)
The Random Projection Method for Stiff Multispecies Detonation Capturing (2002) (27)
Semi-Eulerian and High Order Gaussian Beam Methods for the Schrodinger Equation in the Semiclassical Regime ∗ (2011) (27)
Robust numerical simulation of porosity evolution in chemical vapor infiltration III: three space dimension (2003) (26)
A Random Batch Ewald Method for Particle Systems with Coulomb Interactions (2020) (26)
An asymptotic preserving scheme for the vlasov-poisson-fokker-planck system in the high field regime (2011) (26)
An asymptotic preserving Monte Carlo method for the multispecies Boltzmann equation (2016) (25)
Convergence of Random Batch Method for interacting particles with disparate species and weights (2020) (25)
A uniformly second order numerical method for the one-dimensional discrete-ordinate transport equation and its diffusion limit with interface (2009) (24)
A Successive Penalty-Based Asymptotic-Preserving Scheme for Kinetic Equations (2013) (24)
Diffusion limit of a hyperbolic system with relaxation (1998) (24)
Asymptotic-Preserving (Ap) Schemes for Multiscale Kinetic Equations: a Unified Approach (2001) (23)
An Eulerian Surface Hopping Method for the Schrödinger Equation with Conical Crossings (2011) (23)
A semiclassical transport model for two-dimensional thin quantum barriers (2007) (23)
Zero Reaction Limit for Hyperbolic Conservation Laws with Source Terms (2000) (23)
A BGK‐penalization‐based asymptotic‐preserving scheme for the multispecies Boltzmann equation (2013) (23)
An efficient method for computing hyperbolic systems with geometrical source terms having concentrations ∗ (2004) (22)
A STEADY-STATE CAPTURING METHOD FOR HYPERBOLIC SYSTEMS WITH GEOMETRICAL SOURCE (21)
Asymptotic‐preserving schemes for kinetic–fluid modeling of disperse two‐phase flows with variable fluid density (2013) (21)
Hamiltonian-Preserving Schemes for the Liouville Equation with Discontinuous Potentials (2005) (20)
Stretching of polymers in isotropic turbulence: a statistical closure. (2007) (20)
Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials (2008) (20)
On kinetic flux vector splitting schemes for quantum Euler equations (2011) (19)
A stochastic asymptotic-preserving scheme for a kinetic-fluid model for disperse two-phase flows with uncertainty (2017) (19)
THE VLASOV–POISSON–FOKKER–PLANCK SYSTEM WITH UNCERTAINTY AND A ONE-DIMENSIONAL ASYMPTOTIC PRESERVING METHOD∗ (2017) (19)
Emergent behaviors of the Cucker–Smale ensemble under attractive–repulsive couplings and Rayleigh frictions (2018) (19)
A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime (2010) (18)
A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials (2013) (18)
Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method for a kinetic-fluid two-phase flow model with random initial inputs in the light particle regime (2018) (18)
Efficient Stochastic Asymptotic-Preserving Implicit-Explicit Methods for Transport Equations with Diffusive Scalings and Random Inputs (2018) (17)
Direct numerical simulation of free falling sphere in creeping flow (2010) (17)
A Hybrid Phase-Flow Method for Hamiltonian Systems with Discontinuous Hamiltonians (2008) (17)
Numerical study of a domain decomposition method for a two-scale linear transport equation (2006) (17)
A numerical study of the Gaussian beam methods for one-dimensional Schrodinger-Poisson equations ⁄ (2009) (17)
A Numerical Scheme for the Quantum Fokker-Planck-Landau Equation Efficient in the Fluid Regime (2012) (17)
A Multiband Semiclassical Model for Surface Hopping Quantum Dynamics (2014) (16)
The Random Batch Method for N-Body Quantum Dynamics (2019) (16)
SIMULATION OF FLUID-PARTICLES FLOWS: HEAVY PARTICLES, FLOWING REGIME, AND ASYMPTOTIC-PRESERVING SCHEMES ∗ (2012) (16)
Computation of Transmissions and Reflections in Geometrical Optics via the Reduced Liouville Equation ∗ (2006) (16)
Gaussian beam methods for the Schrödinger equation with discontinuous potentials (2014) (16)
An operator splitting based stochastic Galerkin method for the one-dimensional compressible Euler equations with uncertainty (2015) (16)
A Time-Splitting Spectral Method for the Generalized Zakharov System in Multi-Dimensions (2006) (15)
Quantum algorithms for computing observables of nonlinear partial differential equations (2022) (15)
MACH-NUMBER UNIFORM ASYMPTOTIC-PRESERVING GAUGE SCHEMES FOR COMPRESSIBLE FLOWS (2007) (15)
Computation of the Semiclassical Limit of the Schrödinger Equation with Phase Shift by a Level Set Method (2008) (14)
On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime (2019) (14)
The l1-Error Estimates for a Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials (2008) (14)
Convergence and error estimates for time-discrete consensus-based optimization algorithms (2020) (14)
Relaxation schemes for curvature-dependent front propagation (1999) (14)
Computation of Interface Reflection and Regular or Diffuse Transmission of the Planar Symmetric Radiative Transfer Equation with Isotropic Scattering and Its Diffusion Limit (2008) (14)
Relaxation approximations to front propagation (1997) (14)
On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime (2019) (13)
Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations (2018) (13)
Well-Posedness and Singular Limit of a Semilinear Hyperbolic Relaxation System with a Two-Scale Discontinuous Relaxation Rate (2014) (13)
Quantum hydrodynamic approximations to the finite temperature trapped Bose gases (2017) (13)
On the Computation of Roll Waves (2001) (13)
Relaxation and diffusion enhanced dispersive waves (1994) (12)
Computation of High Frequency Wave Diffraction by a Half Plane via the Liouville Equation and Geometric Theory of Diffraction (2011) (12)
Weakly compressible high-order I-stable central difference schemes for incompressible viscous flows (2001) (12)
A well-balanced operator splitting based stochastic Galerkin method for the one-dimensional Saint-Venant system with uncertainty (2015) (12)
A coherent semiclassical transport model for pure-state quantum scattering (2010) (12)
Semi-classical models for the Schrödinger equation with periodic potentials and band crossings (2013) (12)
Asymptotic-Preserving Numerical Schemes for the Semiconductor Boltzmann Equation Efficient in the High Field Regime (2013) (12)
A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations (2012) (12)
On the Random Batch Method for second order interacting particle systems (2020) (11)
The Gaussian Beam Methods for Schrodinger-Poisson Equations (2010) (11)
Sharp decay estimates in local sensitivity analysis for evolution equations with uncertainties: From ODEs to linear kinetic equations (2019) (11)
A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation (2020) (11)
A model for front evolution with a nonlocal growth rate (1999) (11)
An Efficient Time-splitting Method for the Ehrenfest Dynamics (2017) (11)
On the classical limit of a time-dependent self-consistent field system: analysis and computation (2014) (11)
A scalable parallel algorithm for the direct numerical simulation of three-dimensional incompressible particulate flow (2009) (11)
An Asymptotic Preserving Two-dimensional Staggered Grid Method for Multiscale Transport Equations (2015) (11)
Numerical simulations of a dilute polymer solution in isotropic turbulence (2007) (10)
A Convex Entropy for a Hyperbolic System with Relaxation (1996) (10)
A domain decomposition method for a two-scale transport equation with energy flux conserved at the interface (2008) (10)
A Stochastic Galerkin Method for the Fokker–Planck–Landau Equation with Random Uncertainties (2016) (10)
Local sensitivity analysis for the Cucker-Smale model with random inputs (2017) (10)
Random Batch Algorithms for Quantum Monte Carlo simulations (2020) (10)
Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations (2022) (9)
Nonlinear Geometric Optics method based multi-scale numerical schemes for highly-oscillatory transport equations (2016) (9)
THE VLASOV–POISSON EQUATIONS AS THE SEMICLASSICAL LIMIT OF THE SCHRÖDINGER–POISSON EQUATIONS: A NUMERICAL STUDY (2008) (9)
Spectral convergence of the stochastic galerkin approximation to the boltzmann equation with multiple scales and large random perturbation in the collision kernel (2018) (9)
A local sensitivity analysis for the kinetic Cucker–Smale equation with random inputs (2018) (9)
On the mean field limit of the Random Batch Method for interacting particle systems (2020) (9)
On the Bloch decomposition based spectral method for wave propagation in periodic media (2009) (9)
An asymptotic-preserving scheme for the semiconductor Boltzmann equation with two-scale collisions: A splitting approach (2015) (9)
A diffusive subcharacteristic condition for hyperbolic systems with diffusive relaxation (2000) (9)
Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation (2006) (8)
A Study of Hyperbolicity of Kinetic Stochastic Galerkin System for the Isentropic Euler Equations with Uncertainty (2019) (8)
High Frequency Behavior of the Focusing Nonlinear Schr[o-umlaut]dinger Equation with Random Inhomogeneities (2003) (8)
Wave patterns, stability, and slow motions in inviscid and viscous hyperbolic equations with stiff reaction terms (2003) (8)
The Discrete Stochastic Galerkin Method for Hyperbolic Equations with Non-smooth and Random Coefficients (2016) (8)
Uniform error estimates for the random batch method to the first‐order consensus models with antisymmetric interaction kernels (2021) (7)
A Convex Entropy for a Hyperbolic System with Relaxation (1996) (7)
A level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials (2010) (7)
Error estimates on the random projection methods for hyperbolic conservation laws with stiff reaction terms (2002) (7)
Recent computational methods for high frequency waves in heterogeneous media (2007) (7)
Numerical methods for hyperbolic systems with singular coefficients : well-balanced scheme , Hamiltonian preservation , and beyond (2008) (7)
Error estimate of a bi-fidelity method for kinetic equations with random parameters and multiple scales (2019) (7)
Computational High Frequency Wave Diffraction by a Corner via the Liouville equation and Geometric Theory of Diffraction (2008) (7)
The Landau-Zener transition and the surface hopping method for the 2D Dirac equation for graphene (2015) (7)
Random Batch Methods for classical and quantum interacting particle systems and statistical samplings (2021) (6)
Transitions in a Logistic Growth Model Induced by Noise Coupling and Noise Color (2006) (6)
A Gaussian Beam Method for High Frequency Solution of Symmetric Hyperbolic Systems with Polarized Waves (2015) (5)
Convergence toward equilibrium of the first-order consensus model with random batch interactions (2021) (5)
A BGK-penalization asymptotic-preserving scheme for the multispecies Boltzmann equation ∗ (2011) (5)
A local sensitivity analysis for the kinetic Kuramoto equation with random inputs (2019) (5)
The l 1-stability of a Hamiltonian-preserving scheme for the Liouville equation with discontinuous potentials ∗ (2005) (5)
A hybrid Schrödinger/Gaussian beam solver for quantum barriers andsurface hopping (2011) (5)
Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs (2017) (5)
Numerical transport in diffusive regimes (1991) (5)
Local Sensitivity Analysis for the Kuramoto-Daido Model with Random Inputs in a Large Coupling Regime (2020) (5)
The Random Projection Method for Stiff Detonation Waves (2002) (4)
A study of Landau damping with random initial inputs (2018) (4)
On the multi-species Boltzmann equation with uncertainty and its stochastic Galerkin approximation (2019) (4)
MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR MULTISCALE KINETIC EQUATIONS WITH UNCERTAINTIES (2019) (4)
Uniform-in-time error estimate of the random batch method for the Cucker–Smale model (2021) (4)
Front motion in multi-dimensional viscous conservation laws with stiff source terms driven by mean curvature and variation of front thickness (2003) (4)
Recent computational methods for high frequency waves in heterogeneous media (2007) (4)
QUANTUM BARRIERS AND SURFACE HOPPING (2011) (4)
Asymptotic-preserving schemes for two-species binary collisional kinetic system with disparate masses, I: time discretization and asymptotic analysis (2018) (4)
Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs (2019) (4)
A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with transmissions and reflections ∗ (2005) (4)
l1-error estimates on the immersed interface upwind scheme for linear convection equations with piecewise constant coefficients: A simple proof (2013) (4)
The Gaussian beam method for the wigner equation withdiscontinuous potentials (2013) (4)
AN ASYMPTOTIC-PRESERVING STOCHASTIC GALERKIN METHOD FOR THE SEMICONDUCTOR BOLTZMANN EQUATION WITH RANDOM INPUTS AND DIFFUSIVE SCALINGS ∗ (2017) (4)
High-order I-stable centered difference schemes for viscous compressible flows (2008) (4)
Random batch particle methods for the homogeneous Landau equation (2021) (3)
GAUSSIAN PROCESSES : KARHUNEN-LOÈVE EXPANSION , SMALL BALL ESTIMATES AND APPLICATIONS IN TIME SERIES MODELS by (2014) (3)
Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws (2018) (3)
A BGK-penalization based asymptotic-preserving scheme for the multispecies Boltzmann equation ∗ (2012) (3)
A BLOCH DECOMPOSTION BASED NUMERICAL METHOD FOR QUANTUM DYNAMICS IN PERIODIC POTENTIALS (2006) (3)
A Spatial-Temporal asymptotic preserving scheme for radiation magnetohydrodynamics (2021) (3)
A High Order Stochastic Asymptotic Preserving Scheme for Chemotaxis Kinetic Models with Random Inputs (2017) (3)
An Asymptotic Preserving 2--D Staggered Grid Method for multiscale transport equations (2015) (3)
Efficient Stochastic Asymptotic-Preserving IMEX Methods for Transport Equations with Diffusive Scalings and Random Inputs (2017) (2)
Computing high frequency solutions of symmetric hyperbolic systems with polarized waves (2015) (2)
Wave Patterns and Slow Motions in Inviscid and Viscous Hyperbolic Equations with Stiff Reaction Terms (2003) (2)
A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties (2021) (2)
Quantum algorithms for uncertainty quantification: application to partial differential equations (2022) (2)
An Uncertainty Quantification Approach to the Study of Gene Expression Robustness (2019) (2)
Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra via Schrodingerisation (2023) (2)
RANDOM REGULARITY OF A NONLINEAR LANDAU DAMPING SOLUTION FOR THE VLASOV-POISSON EQUATIONS WITH RANDOM INPUTS (2019) (2)
A local sensitivity analysis for the hydrodynamic Cucker-Smale model with random inputs (2020) (2)
Accurate and Efficient Simulations of Hamiltonian Mechanical Systems with Discontinuous Potentials (2021) (2)
The Vlasov–Fokker–Planck equation with high dimensional parametric forcing term (2019) (2)
Boundary Control of Vlasov--Fokker--Planck Equations (2020) (2)
Gaussian processes: Karhunen-Loeve expansion, small ball estimates and applications in time series models (2014) (2)
Collective Dynamics of Opposing Groups with Stochastic Communication (2019) (1)
Global Topological Linearization with Unbounded Nonlinear Term (2000) (1)
On the mean field limit of Random Batch Method for interacting particle systems (2020) (1)
AnAll-SpeedAsymptotic-PreservingMethod for the Isentropic Euler and Navier-Stokes Equations (2012) (1)
A Hybrid Method for Computing the Schrödinger Equations with Periodic Potential with Band-Crossings in the Momentum Space (2018) (1)
Numerical simulation of a generalized Zakharov system q (2004) (1)
A Micro-Macro Method for a Kinetic Graphene Model in One Space Dimension (2020) (1)
CONVERGENCE OF THE RANDOM BATCH METHOD FOR INTERACTING PARTICLES WITH DISPARATE SPECIES AND WEIGHTS\ast (2021) (1)
Remarks on the Relaxation Aproximation of the Burnett Equations (2001) (1)
Energy estimates and hypocoercivity analysis for a multi-phase Navier-Stokes-Vlasov-Fokker-Planck system with uncertainty (2022) (1)
The effect of Free Surface Friction and Evaporation on the Heat Transfer of Sub-cooled Falling Liquid Film (2001) (1)
A Particle Method for the Semiclassical Limit of the Schrödinger Equation and the Vlasov-Poisson Equations (2012) (1)
ON THE QUASI-RANDOM CHOICE METHOD FOR THE LIOUVILLE EQUATION OF GEOMETRICAL OPTICS WITH DISCONTINUOUS WAVE SPEED * (2013) (1)
A Stochastic Galerkin Method for the Boltzmann Equation with High Dimensional Random Inputs Using Sparse Grids (2016) (1)
An Asymptotic-Preserving and Energy-Conserving Particle-In-Cell Method for Vlasov-Maxwell Equations (2022) (1)
Modeling and computational methods for multi-scale quantum dynamics and kinetic equations (2013) (1)
MODERN SHOCK CAPTURING METHODS FOR CONSERVATION LAWS (1997) (1)
Expectation of the limiting distribution of the LSE of a unit root process (2015) (1)
ON THE COMPUTATION OF ROLL WAVES ∗ (0)
The Discrete Stochastic Galerkin Method for Hyperbolic Equations with Non-smooth and Random Coefficients (2017) (0)
Mathematical and computationalmethods for semiclassicalSchrödinger equations (2011) (0)
Quantum Algorithms for Multiscale Partial Differential Equations (2023) (0)
FOR MULTISCALE KINETIC EQUATIONS WITH UNCERTAINTIES (2018) (0)
Bloch Decomposition-Based Method for High Frequency Waves in Periodic Media (2010) (0)
Accurate and Efficient Simulations of Mechanical Systems with Discontinuous Potentials (2021) (0)
CBMS Regional Conference in Mathematical Sciences (1998) (0)
The Random Projection Method for Stiff Multi-species Detonation Computation (2001) (0)
N A ] 4 M ay 2 01 4 A multi-band semiclassical model for surface hopping quantum dynamics ∗ (2014) (0)
Numerical L Methods for Schrödinger Equations (2002) (0)
A Well-Balanced Stochastic Galerkin Method for Scalar Hyperbolic Balance Laws with Random Inputs (2015) (0)
A NOVEL NUMERICAL METHOD FOR THE SEMICLASSICAL LIMIT OF THE SCHRÖDINGER EQUATION AND THE VLASOV-POISSION EQUATIONS (2011) (0)
MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR MULTISCALE KINETIC EQUATIONS WITH UNCERTAINTIES (2018) (0)
l1-error estimates on the immersed interface upwind scheme for linear convection equations with piecewise constant coefficients: A simple proof (2013) (0)
Global Topological Linearization in Critical Case (2001) (0)
Schrödinger equation: Computation (2012) (0)
Statistical closure for homogeneous turbulent shear flow of a dilute polymer solution (2005) (0)
Stochastic Resonance in the cancer development Model (2005) (0)
Emergence of the Consensus and Separation in an Agent-Based Model With Attractive and Singular Repulsive Forces (2020) (0)
Well-Posedness and Singular Limit of a Semilinear Hyperbolic Relaxation System with a Two-Scale Discontinuous Relaxation Rate (2014) (0)
Convergence and error estimates for time-discrete consensus-based optimization algorithms (2021) (0)
A local sensitivity analysis in Landau damping for the kinetic Kuramoto equation with random inputs (2020) (0)
A Diiusive Subcharacteristic Condition for Hyperbolic Systems with Diiusive Relaxation (2007) (0)
AN APPROXIMATE ANALYTIC MODEL FOR FALLING LIQUID FILMS DOWN VERTICAL WAVY PLATES (2006) (0)
Asymptotic-preserving schemes for kinetic-fluid modeling of mixture flows with distinct particle sizes (2022) (0)
On multilevel Monte Carlo methods for deterministic and uncertain hyperbolic systems (2022) (0)
HIGH FREQUENCY CORNER DIFFRACTION VIA GTD AND LIOUVILLE (2011) (0)
Stochastic Resonance in the Dispersive Optical Bi-stability System (2007) (0)
Blow-up for a Degenerate Parabolic Equation with a Nonlocal Source (2011) (0)
An Experiment on the Forced and Natural Convection Heat Exchange of Air in a Vertical Tube (2002) (0)
Mathematical Modelling and Numerical Analysis on the Computation of Roll Waves * (0)
Smooth Connection and Interpolation with a Class of Algebraic Curves (2013) (0)
Nonequilibrium hypersonic flows simulations with asymptotic-preserving Monte Carlo methods (2014) (0)
Asymptotic-preserving schemes for multiscale physical problems (2022) (0)
Schrödinger equation: Computation (2012) (0)
Expectation of the Limiting Distribution of the LSE of a Unit Root Process (2014) (0)
N A ] 1 D ec 2 01 8 Asymptotic-preserving schemes for two-species binary collisional kinetic system with disparate masses I : time discretization and asymptotic analysis ∗ (2018) (0)
Local sensitivity analysis and spectral convergence of the stochastic Galerkin method for discrete-velocity Boltzmann equations with multi-scales and random inputs (2019) (0)
FLOW OF A LIQUID FILM AT LOW REYNOLDS NUMBER DOWN ON A VERTICAL WAVY PLATE WITH AN INFLUENCE OF SATURATED EVAPORATION (2009) (0)
High frequen y behavior of the fo using nonlinear S hr odingerequation with random inhomogeneitiesAlbert Fannjiang (1999) (0)
REMARKS ON THE RELAXATION APPROXIMATION OF THE BURNETT EQUATIONS (2016) (0)
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential (2022) (0)
Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method (2017) (0)
Computational high frequency waves in heterogeneous media (2007) (0)

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