Numerical solution of the atmospheric diffusion equation for chemically reacting flows

An analysis of the finite element method

1980 • 3,592 citations

An Analysis of the Finite Element Method

1974 • 3,452 citations

A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws

1978 • 2,445 citations

Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works

1973 • 2,087 citations

Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme

1974 • 2,006 citations

Numerical Solution of Partial Differential Equations.

1966 • 1,560 citations

The Method of Fractional Steps

1971 • 1,279 citations

A general formulation of alternating direction methods

1964 • 709 citations

Computational fluid dynamics

1977 • 671 citations

Methods of Numerical Mathematics

1977 • 641 citations

On the use of a coordinate transformation for the solution of the Navier-Stokes equations

1975 • 629 citations

Flux-corrected transport II: Generalizations of the method

1975 • 550 citations

Stability theory of difference approximations for mixed initial boundary value problems. II

1972 • 495 citations

Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique

1975 • 458 citations

Mathematical Aspects of Finite Elements in Partial Differential Equations

1974 • 423 citations

Conservation equations of gasdynamics in curvilinear coordinate systems

1974 • 409 citations

Methods of Numerical Mathematics

1975 • 403 citations

Flux-corrected transport. III. Minimal-error FCT algorithms

1976 • 402 citations

A small-scale dynamic model using a terrain-following coordinate transformation

1977 • 376 citations

A User’s View of Solving Stiff Ordinary Differential Equations

1979 • 326 citations

Finite Element Techniques for Fluid Flow

1976 • 283 citations

A method for reducing dispersion in convective difference schemes

1968 • 271 citations

A numerical technique for solving stiff ordinary differential equations associated with the chemical kinetics of reactive-flow problems

1977 • 270 citations

Air pollution : physical and chemical fundamentals

1974 • 238 citations

A detached shock calculation by second-order finite differences

1967 • 231 citations

NUMERICAL ADVECTION EXPERIMENTS¹

1968 • 231 citations

Mathematical modeling of photochemical air pollution—I

1973 • 212 citations

A Comparison of Interpolation Methods for Sparse Data: Application to Wind and Concentration Fields

1979 • 209 citations

Highly accurate compact implicit methods and boundary conditions

1977 • 203 citations

On the structure and use of linearized block implicit schemes

1980 • 195 citations

Singular perturbation and iterative separation of time scales

1980 • 182 citations

Detailed modelling of combustion systems

1981 • 181 citations

The method of fractional steps for conservation laws

1980 • 141 citations

Application of Oscillation Matrices to Diffusion‐Convection Equations

1966 • 140 citations

Accuracy of Finite-Difference Methods Applied to the Advection Equation

1968 • 138 citations

The operator compact implicit method for parabolic equations

1978 • 131 citations

Computational techniques for ordinary differential equations

1980 • 127 citations

An Objective Analysis Technique for Constructing Three-Dimensional Urban-Scale Wind Fields

1980 • 126 citations

Stiff Differential Systems

1974 • 118 citations

Higher order monotonic convective difference schemes

1977 • 107 citations

Problems with Different Time Scales for Ordinary Differential Equations

1979 • 99 citations

Time-Split Finite-Volume Method for Three-Dimensional Blunt-Body Flow

1973 • 99 citations

Selective Damping in a Galerkin Method for Solving Wave Problems with Variable Grids

1976 • 97 citations

Time-dependent solution of a premixed laminar flame

1978 • 97 citations

Numerical Solution of Partial Differential Equations–II

1971 • 92 citations

Incomplete Iteration for Time-Stepping a Galerkin Method for a Quasilinear Parabolic Problem

1979 • 84 citations

Continued development of a kinetic mechanism for photochemical smog

1978 • 84 citations

Generalised Galerkin methods for first-order hyperbolic equations

1980 • 75 citations

Evolutionary search for an optimal limiting process flowsheet

1977 • 70 citations

A note on the operator compact implicit method for the wave equation

1978 • 67 citations

A Hermitian finite difference method for the solution of parabolic equations

1975 • 66 citations

On Finite Element Matrices

1972 • 56 citations

Numerical software—needs and availability.

1980 • 51 citations

The numerical solution of the equations of chemical kinetics

1977 • 46 citations

Automatic Partitioning of Stiff Systems and Exploiting the Resulting Structure

1979 • 46 citations

Strang-Type Difference Schemes for Multidimensional Problems

1972 • 44 citations

A Split-Operator, Finite-Difference Solution for Axisymmetric Laminar-Jet Biffusion Flames

1978 • 40 citations

Boundary conditions for multistep finite-difference methods for time-dependent equations

1978 • 39 citations

Errors arising from irregular boundaries in ADI solutions of the shallow-water equations

1979 • 36 citations

Numerical boundary conditions and computational modes

1973 • 31 citations

CHEMEQ - A Subroutine for Solving Stiff Ordinary Differential Equations

1980 • 30 citations

Stability of Difference Approximations to the Mixed Initial Boundary Value Problems for Parabolic Systems

1971 • 29 citations

On the use of artificial smoothing in Galerkin and finite difference solutions of the primitive equations

1976 • 24 citations

Conservation form of the equations of hydrodynamics in curvilinear coordinate systems

1968 • 23 citations

Application of a Galerkin finite element method to atmospheric transport problems

1980 • 22 citations

Numerical Integration of Systems of Stiff Ordinary Differential Equations with Special Structure

1976 • 20 citations

The Equivalence of Certain Alternating Direction and Locally One-Dimensional Difference Methods

1969 • 20 citations

Alternating Direction Methods for Nonlinear Time-Dependent Problems

1977 • 19 citations

Computational Techniques for Ordinary Differential Equations.

1982 • 19 citations

On some methods for the numerical simulation of flows with complex structure

1979 • 18 citations

Domain mappings for the numerical solution of partial differential equations

1976 • 16 citations

Determining Initial Values for Stiff Systems of Ordinary Differential Equations

1981 • 16 citations

The Outflow Boundary Condition in Numerical Time Integration of Advective Equations

1962 • 16 citations

An algorithm for multidimensional combusting flow problems

1981 • 14 citations

Rational Interpolation to $\exp ( - x)$ with Application to Certain Stiff Systems

1981 • 13 citations

Accurate numerical solutions of boundary layer flows by the finite-difference method of hermitian type

1978 • 12 citations

On the numerical solution of a heat equation associated with a thermal print-head

1970 • 12 citations

Numerical solution of a PDE system describing a catalytic converter

1978 • 11 citations

Efficient Computation of "Stiff" Chemically Reacting Flow in Turbulent Free Jets

1976 • 11 citations

On boundary conditions for the numerical solution of hyperbolic differential equations

1980 • 10 citations

Pseudo steady state approximation for the numerical integration of stiff kinetic systems

1975 • 10 citations

Safe Point Methods for Separably Stiff Systems of Ordinary Differential Equations

1981 • 8 citations

A Comparison of Numerical Solutions of the Advective Equation

1974 • 8 citations

Split Space-Marching Finite-Volume Method for Chemically Reacting Supersonic Flow

1976 • 7 citations

Reply

1981 • 7 citations

Numerical solutions of chemically reacting flows in porous media

1980 • 4 citations

Problem approximation for stiff ordinary differential equations

1975 • 4 citations

Stability of High Order Accurate Difference Methods for Parabolic Equations with Boundary Conditions

1971 • 2 citations

Numerical problems in the advection of pollutants

1976 • 1 citations

Comment on “On boundary conditions for hyperbolic difference schemes”

1980 • 1 citations