Subject Index to Volumes 91
—
100 (1998)
Vol. pp.
15A60 99 205
33C05 99 205
33C25 99 205
34A05 99 205
81Q20 93 45
A priori error bounds 96 1
A method of solution 95 13
Acceleration of convergence 98 311
Adaptive grid refinement 96 99
Adaptive grids 97 81
Advection—diffusion equations and systems 96 51
Alternating projections 91 31
American constraint 91 199
Appell systems 99 337
Approximate solutions to the Schro¨dinger equation 93 45
Approximate factorization 100 11
Approximate solutions 99 105
Approximation 98 273
Asymptotic behaviour 97 81
98 63
Asymptotic behaviour of the solutions 91 87
97 23
Asymptotic expansions 91 219
Asymptotics of orthogonal polynomials 99 423
Asymptotics 99 449
Asynchronous iteration 93 35
Asynchronous parallel method 93 13
Athletic records 91 107
Banach algebras 99 319
Banach space 94 13
BarnesG-function 100 191
Bernstein inequality 99 167
Bessel functions 91 179
Bessel polynomials 99 401
Best¸p approximation 99 195
Biorthogonal polynomials 99 337
Birth—death process 99 387
Block asynchronous iterations 91 261
Block SOR method 100 1
Blow-up 97 153
97 39
97 51
97 81
97 99
97 23
Boundary integral equation 91 231
Boundary conditions 94 153
Boundary element methods 94 55
Boundary integral method 100 145
Boundary-value 100 53
Boundedness 98 63
Brafman polynomials 99 55
Calculus of variations 98 273
Canonical projectors 100 77
Cauchy singular integral equation 95 101
Cavitation 98 191
Chaotic iteration 96 127
Chebyshev abscissae 94 199
Chebyshev polynomials 94 123
94 1
Circuit simulation 100 77
Classical orthgonal polynomials of a discrete variable 99 275
Clausen’s function 98 245
Close-to-convex 96 35
Coercive domain decomposition methods 96 51
Complementarity relations 94 55
Computable error 91 137
Computer algebra 99 449
Conjugate gradient method 94 133
Conjugate residual method 92 109
Connection problem 99 177
91 97
Connection coefficients 99 15
99 275
Constrained equilibrium problem 99 255
Continuous Runge—Kutta methods 91 159
Continuous analog of Newton’s method 97 81
Convergence of Pade´ approximants 99 511
Convergence acceleration 98 149
Convergence conditions 91 261
Convergence property 96 127
Convergence rate 93 13
Convergence theorem 96 1
Convergence theorems 96 117
Convergence theory 93 13
Convergence and convergence rate 93 107
Convergence 100 1
91 123
98 289
Convex 96 35
Criteria for blowup 97 3
Cubature scheme 95 45
Cyclically monotone 96 149
Dawson’s integral 92 97
Decomposition with respect to the cyclic group of ordern 99 55
Decomposition 96 139
Delay difference equations 98 179
Delay 95 153
Diamond operator 100 33
Difference equation 91 107
98 27
Difference operators 92 85
Differential equations of second order with delay 91 87
Differential operators 92 85
Differential systems 99 105
Differential-algebraic equations 100 77
Diffraction 91 1
Digital image 94 69
Dimensions 96 139
Dipole 95 139
Dirac delta distributions 100 33
Dirac delta function 92 37
Dirichlet-to-Neumann mapping 100 145
Discontinuous coefficients 92 37
Discrete orthogonality 99 255
Dissipation error 95 157
Divided differences 92 69
Dixon’s theorem 92 135
Domain decomposition method 98 213
Domain decomposition 91 63
98 35
Double iteration process 91 191
Duality methods 98 191
Dunkl operators 99 337
Educational testing 91 31
Eigenvalue bounds 95 83
Eigenvalue problem 91 47
96 91
Eigenvalues 98 233
98 35
Embedding 98 233
Error bounds 94 69
99 105
Error estimates 92 59
Error analysis 92 37
Errors 94 123
Euler series 98 245
Euler equations 91 63
Euler’s beta function and its generalizations 100 23
Euler—Maclaurin expansion 93 89
Exact scheme 97 137
Existence theorem 98 27
Existence theory 95 29
Explosion 97 153
Exponential model 91 107
Extensions of trapezoidal rule 91 219
Extrapolation procedures 91 219
Filtering method 100 161
Finite difference 92 37
98 289
91 47
Finite elements 100 173
Finite difference method 95 29
Finite element method 96 13
Finite elements 98 191 98 273
Finite-time blowup 97 3
First passage time 99 387
Fliess series 96 91
Fluid wave 95 65
Fourier—Bessel expansion 95 83
Fourth order Sturm—Liouville problems 96 91
Fourth-order difference equation 92 103
Fre´chet derivative 94 13
Free boundary problems 94 55
Free boundary problems 98 191
Freud weights 99 219
Freud weight 99 463
Fundamental biharmonic problem 91 231
G-condition 92 59
GMERR method 98 49
Galerkin finite element method 97 81
Gamma function 99 167
Gaussian quadrature 94 123
Gegenbauer polynomials 100 111
Generalized incomplete gamma functions 91 179
Generalized wavelet packets 99 353
Generalized wavelet 99 353
Generalized Hermite polynomials 99 337
Generating functions 100 121
99 401
Geophysical prospecting 95 13
Green’s function 92 59
Guaranteed error bounds 91 137
Hermite matrix polynomials 99 105
Hermite—Feje´r and Hermite interpolation 99 219
Hermite—Pade´ approximants 99 423
Hermitian functionals 99 3
Hurwitz Zeta function 100 191
Hurwitz Zeta function 100 201
Hypergeometric functions 96 35
Hypergeometric polynomials 99 15
Hypergeometric series 98 245
Hypergeometric Gauss’s summation theorem 92 135
IID Random variables 99 365
Ill-conditioning 93 75
Ill-posed Boussinesq equation 100 161
Image transformation 94 69
Implicit scheme 97 137
Inclusion methods 96 117
Incomplete factorization 94 133
Indeterminate moment problems 99 67
Inequalities for the product 99 319
Inexact generalized Newton method 93 107
Inexact Newton-like methods 94 13
Initial conditions for convergence 96 117
Initial conditions 91 123
Initial-value problems 100 11
Inner product 99 299
Integrable discretization 96 77
Integral transforms 91 1
Integral equations 97 153
Interpolation 92 59
Interpolatory quadrature formulae 94 199
Interval of periodicity 95 1
Inverse source problem 95 139
Inverse matrix problem 92 15
Inversive and explicit inversive congruential generators 95 117
Iterated integrals 96 91
Iteration functions 98 311
Iterative methods 92 15
94 153
Iterative method 98 49
Jackson—Bernstein theorem 99 463
Kampe´ de Fe´riet functions 91 179
Kergin interpolation 95 45
Kernel of Marcel Riesz 100 33
Koornwinder polynomials 99 189
Kron’s method 98 35
Kronecker sums 98 1
Krylov subspace 98 49
Kummer 100 225
Lagrange interpolation 92 69
Laguerre polynomials 99 401
99 529
99 55
99 77
Laguerre functions 99 353
Laguerre 100 225
Laguerre—Freud equations 99 143
Lanczos method 98 149
Laplace integral 93 95
99 529
Laplace transforms 99 401
Laurent biorthogonal polynomials 98 121
Least-squares problem 100 1
Le´vy processes 99 365
Lie-Poisson bracket 98 1
Limit relation 91 97
99 327
Limit theorems 99 287
Linear systems of ODEs 91 159
Linear complementarity problem 96 127
Linear systems 94 23
Lobatto-type quadrature 94 1
Local convergence 93 35
Logarithmic capacity 91 231
Logarithmic potential 99 189
Lubrication 98 191
M-matrix 94 133
Malmquist systems 99 299
Marcinkiewicz inequalities 99 129
Markov chain 92 15
Martingales 99 365
Matched asymptotic expansions 97 99
Matrix multisplitting 93 13
96 127
Matrix representation 98 1
Matrix Pade´ approximation 94 23
Matrix functions 99 105
Maxwell equations 100 173
Mean convergence,¸
p 99 219
Measures on the unit circle 96 27
Midpoint method 98 305
Minimax series 99 319
Minimum degrees 94 23
Mixed finite element 100 145
Mixed interpolation 92 69
Mixed type system 92 37
Model-trust region algorithms 91 249
Modified Chebyshev algorithm 98 81
Modified moments 92 109
98 81
Modulus of smoothness 99 463
Moment preserving spline approximation 99 119
Monge—Kantorovitch problem 96 149
Monotone iterative technique 95 127
Monotonicity 98 63
Monte Carlo algorithms 92 15
Moving grid method 93 123
Multigrid method 100 41
Multiple orthogonality 99 423
Multiple roots 98 311
Multipoint Pade´ approximation 99 373
Multistep scheme 100 77
Multivariate time-series models 94 23
Mu¨ntz polynomials 99 299
Mu¨ntz systems 99 299
nth root 91 191
Navier—Stokes equations 91 63
Nevanlinna matrices 99 311
Nevanlinna parametrization 99 311
Newton’s method 91 191
Nikishin system 99 91
Non-conforming Galerkin scheme 100 145
Nonconforming finite element methods 96 99
Nondecreasing positive solution 98 27
Nondefinite linear functionals 99 119
Nondiagonal Sobolev inner product 100 111
Nondifferentiable operators 94 13
Nonexistence 99 119
Nonhomogeneous differential and difference equations 99 177
Nonlinear boundary value problem 95 127
Nonlinear complementarity problem 93 35
Nonlinear differential equation 98 63
Nonlinear diffusion equations 97 39
Nonlinear equations in Banach spaces 96 1
98 305
Nonlinear equations 91 249
91 261
Nonlinear multisplitting 93 35
Nonlinear parabolic problem 97 81
Nonlinear thermoelasticity 100 53
Nonlinear theory 95 65
Nonlinear 97 137
Nonlocal heat equations 97 39
Nonlocal term 97 23
Nonsmooth equation 100 207
Nonsmooth optimization 91 31
Nonsymmetric systems 98 49
Nonterminating hypergeometric series 99 449
Numerical integration 93 89
97 137
Numerical procedure 91 107
Numerical solutions 97 3
Numerical stability 98 49
Numerical analysis 100 11
Numerical integration 94 69
Odd and even spectra 98 233
One-dimensional 100 53
Optimal control 95 29
Optimal coupling 96 149
Optimal parameter 100 1
Order of convergence 98 311
Ordinary differential equations 100 11
Orthogonal polynomials in two variables 99 239
Orthogonal polynomials 91 97
92 103
92 85
96 27
99 119
99 287
99 327
99 373
99 3
99 47
98 81
99 177
Orthogonal polynomials 99 365
99 37
99 55
99 91
Orthogonality 99 299
Oscillation 95 153
Oscillatory 98 27
PDE option pricing 91 199
Pade´ approximants 99 155
Pade´ approximation 99 511
Pade´-type approximation 99 47
Parabolic equation 95 153
Parabolic equations 95 29
97 51
Parallel computing 98 213
91 261
Partial differential equations 99 239
Penalty function methods 95 29
Periodic problems 95 157
Periodic solution 95 127
Perturbed polynomials system 98 99
Phase-lag 95 1
Piecewise polynomial quadrature 95 101
Piecewise polynomial product integration rules 91 219
Piecewise rational approximation 99 195
Plancherel-Rotach formulae 99 77
Point estimation 91 123
Poisson and Biharmonic equation 94 153
Polygamma functions 100 191
Polygamma function 100 201
Polylogarithms 98 245
Polynomial and non-polynomial potentials 95 83
Polynomial approximation 99 319
99 463
Polynomial roots 96 117
Polynomial zeros 91 123
Positive-semi-definite matrix 91 31
Power method with shift 96 77
Precondition 100 207
Preconditioned iterative method 100 1
Preconditioner 94 133
Prescribed poles 94 1
Probabilistic error bounds 94 69
Probability with fixed marginals 96 149
Psi function 98 245
99 167
Ptak-like conditions 94 13
q-Hermite polynomials 99 67
q-Krawtchouk polynomials 99 275
q-Laguerre polynomials 99 67
q-Meixner polynomials 99 275
q-orthogonal polynomials 99 67
Quadrature formulae 92 59
Quadrature weight 95 101
Quasi-stationary distribution 99 387
Quasilinear elliptic boundary value problem 96 13
Radius of attraction 98 179
Random coupon collector problem 93 95
Random walk 99 387
Random walks 99 287
Random-walk polynomials 99 387
Random-walk measure 99 387
Rank-deficient least-squares problem 100 1
Rate of convergence 91 191
Rational functions 99 299
Rational space 94 1
Rationality 94 23
Rayleigh quotient gradient system 96 77
Reaction—diffusion systems 97 99
Realization functional 99 463
Rectangular quadrature rule 92 97
Recurrence formulas 99 3
Recurrence relations 96 1
99 275
Recurrence formulas 99 299
Recurrence relations 98 305
Recursive constructions 98 1
Regular splitting 94 133
Regularization 93 75
Relaxation method 93 35
Relaxation technique 93 13
Reliable estimation method 95 139
Reproducing kernels 99 401
Residual error indicators 100 173
Residual scaling techniques 100 41
Residual-based a posteriori error estimators 96 99
Richardson iteration 92 109
Riemann zeta function 98 245
Rodrigues type formula 99 239
Root-finding methods 98 311
Runge—Kutta scheme 100 77
Runge—Kutta methods 100 93
SOR method 100 207
Saalschu¨tz’ summation formula 99 449
Saddle points 100 121
Saddle-point problem 100 207
Schro¨dinger equation 91 47
95 83
95 1
Second order difference equations 99 37
Second order C-differentiable 93 107
Second kind equations 91 159
Second-order ODE 95 157
Second-order differential equations 99 15
Secondary: 34E20 93 45
Secular equation 98 233
Self-similar behaviour 97 99
Self-similar solution 97 81
Self-similar solutions 97 51
Semi-classical orthogonal polynomials 99 143
Semi-implicit prediction—correction scheme 92 37
Semilinear parabolic equations 97 23
Series of exponential functions 92 97
Sheffer polynomials 99 365
Signorini 94 55
Simultaneous method 96 117
Simultaneous methods 91 123
Single equations 98 311
Singular identification problem 99 195
Singular integrals 91 219
Singularly perturbed reaction—diffusion problem 98 213
Slow-decay potentials 94 181
Sobolev orthogonal polynomials 100 111
Sobolev inner products 96 27
Sobolev orthogonal polynomials 99 401
Solitary wave 100 161
Solvability 98 289
Sparse matrix 94 133
Spectral concentration 94 181
Spectral element methods 91 63
Spectral function 98 233
Spectral transformations 98 121
Splines 96 139
Spurious poles 99 511
Star-like 96 35
Stefan problem 93 123
Step size control 100 93
Stieltjes polynomials 99 129
Stieltjes—Wigert polynomials 99 67
Stochastic differential equations 100 93 100 77
Stochastic integration 99 365
Stochastic volatility 91 199
Stoichiometric particle dissolution 93 123
Stokes equations 96 99
91 137
Strong and weak asymptotics 100 121
Strong asymptotics 99 77
Strong moment problems 99 311
Structural analysis 95 117
Structured kernels 99 413
Sturm—Liouville problems 94 181
Summary difference equations 98 179
Sums containing Wittaker functions and Laguerre
polynomials 100 23
Sylvester equation 99 105
Symmetric 98 233
Symmetrizability 99 239
Synchrotron radiation 93 75
System of weakly nonlinear equations 93 13 System of partial differential equations 95 13
Systems of linear equations 98 149
Szego? condition 96 27
Szego? theory 99 91
Tchebychev polynomials 99 319
Tempered distribution 100 33
Ternary alloy homogenisation 93 123
Third-order process 96 1
Three-dimensional Poisson equation 95 139
Time discretization 98 213
Toeplitz matrix 98 233
Transcendental functions 100 201
Transient noise 100 77
Transmission problem 100 145
Tsertsvadze 98 289
Turning point theory 93 45
Two-point iteration 96 1
Two-stage iteration 93 13
Unconstrained optimization 91 249
Uniform pseudorandom numbers 95 117
Uniqueness of solution 91 231
Uniqueness 94 23
Univalent 96 35
Upper and lower solutions 95 127
Uzawa method 100 207
Varying measures 99 91
Varying weights 99 373
Vector sequence transformations 98 149
Volterra 97 153
WKB methods 93 45
Wang—Zheng’s method 91 123
Water waves 91 1
Wave propagation 95 65
Weighted residual approach 95 139
Zeiberger’s algorithm 99 449
Zero distribution 99 255
Zeros of orthogonal polynomials 98 99
92 1
