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ORCIDSIAM Journal on Numerical Analysis, Volume 37
Volume 37, Number 1, 1999
- Hao Lu:
Stair Matrices and Their Generalizations with Applications to Iterative Methods I: A Generalization of the Successive Overrelaxation Method. 1-17 - Gabriel Acosta, Ricardo G. Durán:
The Maximum Angle Condition for Mixed and Nonconforming Elements: Application to the Stokes Equations. 18-36 - John C. Strikwerda, Young S. Lee:
The Accuracy of the Fractional Step Method. 37-47 - Dietrich Braess, Wolfgang Dahmen, Christian Wieners:
A Multigrid Algorithm for the Mortar Finite Element Method. 48-69 - Barry Lee:
First-Order System Least-Squares for Elliptic Problems with Robin Boundary Conditions. 70-104 - Bengt Fornberg, Michelle Ghrist:
Spatial Finite Difference Approximations for Wave-Type Equations. 105-130 - Hsing-Hsia Chen, John C. Strikwerda:
Preconditioning for Regular Elliptic Systems. 131-151 - Dong-Hui Li, Masao Fukushima:
A Globally and Superlinearly Convergent Gauss-Newton-Based BFGS Method for Symmetric Nonlinear Equations. 152-172 - H. S. Tang, T. Zhou:
On Nonconservative Algorithms for Grid Interfaces. 173-193 - Desmond J. Higham:
Trust Region Algorithms and Timestep Selection. 194-210 - René Pinnau
, Andreas Unterreiter:
The Stationary Current-Voltage Characteristics of the Quantum Drift-Diffusion Model. 211-245 - Matthias K. Gobbert, Andreas Prohl:
A Discontinuous Finite Element Method for Solving a Multiwell Problem. 246-268 - Arne Marthinsen:
Interpolation in Lie Groups. 269-285 - John W. Barrett, James F. Blowey, Harald Garcke:
Finite Element Approximation of the Cahn-Hilliard Equation with Degenerate Mobility. 286-318 - Wolfgang Dahmen, Rob Stevenson:
Element-by-Element Construction of Wavelets Satisfying Stability and Moment Conditions. 319-352
Volume 37, Number 2, 1999
- Luca F. Pavarino, Olof B. Widlund:
Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems I: Compressible Linear Elasticity. 353-374 - Luca F. Pavarino, Olof B. Widlund:
Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems. II: Mixed Methods for Linear Elasticity and Stokes Flow. 375-402 - Vladimir Druskin, Leonid Knizhnerman:
Gaussian Spectral Rules for the Three-Point Second Differences: I. A Two-Point Positive Definite Problem in a Semi-Infinite Domain. 403-422 - Clint Dawson, Robert C. Kirby:
Solution of Parabolic Equations by Backward Euler-Mixed Finite Element Methods on a Dynamically Changing Mesh. 423-442 - Christoph Pflaum:
Robust Convergence of Multilevel Algorithms for Convection-Diffusion Equations. 443-469 - Bosco García-Archilla, Edriss S. Titi:
Postprocessing the Galerkin Method: The Finite-Element Case. 470-499 - TaKeo K. Ushijima, Shigetoshi Yazaki:
Convergence of a Crystalline Algorithm for the Motion of a Closed Convex Curve by a Power of Curvature V=Kα. 500-522 - L. Zhornitskaya, Andrea L. Bertozzi:
Positivity-Preserving Numerical Schemes for Lubrication-Type Equations. 523-555 - Thomas A. Manteuffel, Klaus J. Ressel, Gerhard Starke:
A Boundary Functional for the Least-Squares Finite- Element Solution of Neutron Transport Problems. 556-586 - Frank Hettlich, William Rundell:
A Second Degree Method for Nonlinear Inverse Problems. 587-620 - Ben-yu Guo:
Gegenbauer Approximation in Certain Hilbert Spaces and Its Applications to Singular Differential Equations. 621-645 - Françoise Dibos, Georges Koepfler:
Global Total Variation Minimization. 646-664 - Gang Bao, Hongtao Yang:
A Least-Squares Finite Element Analysis for Diffraction Problems. 665-682 - E. A. Dari, Ricardo G. Durán, Claudio Padra:
Maximum Norm Error Estimators for Three-Dimensional Elliptic Problems. 683-700
Volume 37, Number 3, 2000
- Carol S. Woodward, Clint N. Dawson:
Analysis of Expanded Mixed Finite Element Methods for a Nonlinear Parabolic Equation Modeling Flow into Variably Saturated Porous Media. 701-724 - Chun Liu, Noel J. Walkington:
Approximation of Liquid Crystal Flows. 725-741 - Michael Westdickenberg, Sebastian Noelle:
A New Convergence Proof for Finite Volume Schemes Using the Kinetic Formulation of Conservation Laws. 742-757 - So-Hsiang Chou, Do Y. Kwak:
Mixed Covolume Methods on Rectangular Grids For Elliptic Problems. 758-771 - Mariano Gasca, Tomas Sauer:
On Bivariate Hermite Interpolation with Minimal Degree Polynomials. 772-798 - Yves Achdou, Jean-Luc Guermond:
Convergence Analysis of a Finite Element Projection/Lagrange-Galerkin Method for the Incompressible Navier-Stokes Equations. 799-826 - Andreas Wiegmann, Kenneth P. Bube:
The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions. 827-862 - B. Ben Moussa, J. P. Vila:
Convergence of SPH Method for Scalar Nonlinear Conservation Laws. 863-887 - Yalchin R. Efendiev, Thomas Y. Hou, Xiao-hui Wu:
Convergence of a Nonconforming Multiscale Finite Element Method. 888-910 - Qiang Du:
Convergence Analysis of a Numerical Method for a Mean Field Model of Superconducting Vortices. 911-926 - Franz Peherstorfer, Knut Petras:
Ultraspherical Gauss-Kronrod Quadrature Is Not Possible for λ > 3. 927-948 - Aaron C. Cinzori, Patricia K. Lamm:
Future Polynomial Regularization of Ill-Posed Volterra Equations. 949-979 - Kenneth Hvistendahl Karlsen, Nils Henrik Risebro:
Corrected Operator Splitting for Nonlinear Parabolic Equations. 980-1003 - Moody T. Chu:
A Fast Recursive Algorithm for Constructing Matrices with Prescribed Eigenvalues and Singular Values. 1004-1020 - Jiansong Deng, Yu Yu Feng, Jernej Kozak:
A Note on the Dimension of the Bivariate Spline Space over the Morgan-Scott Triangulation. 1021-1028 - Jayadeep Gopalakrishnan, Joseph E. Pasciak:
Multigrid for the Mortar Finite Element Method. 1029-1052
Volume 37, Number 4, 2000
- Éliane Bécache, Patrick Joly, Chrysoula Tsogka:
An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems. 1053-1084 - Faker Ben Belgacem:
The Mixed Mortar Finite Element Method for the Incompressible Stokes Problem: Convergence Analysis. 1085-1100 - Houde Han, Weizhu Bao:
Error Estimates for the Finite Element Approximation of Problems in Unbounded Domains. 1101-1119 - Tony Shardlow, Andrew M. Stuart:
A Perturbation Theory for Ergodic Markov Chains and Application to Numerical Approximations. 1120-1137 - Bradley K. Alpert, Leslie Greengard, Thomas M. Hagstrom:
Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation. 1138-1164 - Vincent J. Ervin, William J. Layton, Joseph M. Maubach:
Adaptive Defect-Correction Methods for Viscous Incompressible Flow Problems. 1165-1185 - Juan Manuel Peña:
On the Multivariate Horner Scheme. 1186-1197 - Faker Ben Belgacem:
Numerical Simulation of Some Variational Inequalities Arisen from Unilateral Contact Problems by the Finite Element Methods. 1198-1216 - Lorenzo Pareschi, Giovanni Russo:
Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator. 1217-1245 - Giovanni Naldi, Lorenzo Pareschi:
Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation. 1246-1270 - Jochen Alberty, Carsten Carstensen:
Numerical Analysis of Time-Depending PrimalElastoplasticity with Hardening. 1271-1294 - Todd Arbogast, Lawrence C. Cowsar, Mary F. Wheeler, Ivan Yotov:
Mixed Finite Element Methods on Nonmatching Multiblock Grids. 1295-1315 - Hailiang Liu, Gerald Warnecke:
Convergence Rates for Relaxation Schemes Approximating Conservation Laws. 1316-1337 - Hong Wang:
An Optimal-Order Error Estimate for an ELLAM Scheme for Two-Dimensional Linear Advection-Diffusion Equations. 1338-1368 - Stephen Wollman:
On the Approximation of the Vlasov-Poisson System by Particle Methods. 1369-1398
Volume 37, Number 5, 2000
- Alexander Ostermann, Cesar Palencia:
Shadowing for Nonautonomous Parabolic Problems with Applications to Long-Time Error Bounds. 1399-1419 - Gabriel J. Lord, Daniela Peterhof, Björn Sandstede, Arnd Scheel:
Numerical Computation of Solitary Waves in Infinite Cylindrical Domains. 1420-1454 - Max D. Gunzburger, Hyesuk Kwon Lee:
An Optimization-Based Domain Decomposition Method for the Navier-Stokes Equations. 1455-1480 - Max D. Gunzburger, Sandro Manservisi:
Analysis and Approximation of the Velocity Tracking Problem for Navier-Stokes Flows with Distributed Control. 1481-1512 - Qiang Du, Max D. Gunzburger:
A Gradient Method Approach to Optimization-Based Multidisciplinary Simulations and Nonoverlapping Domain Decomposition Algorithms. 1513-1541 - Zhiming Chen, Qiang Du, Jun Zou:
Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients. 1542-1570 - Bruce P. Ayati:
A Variable Time Step Method for an Age-Dependent Population Model with Nonlinear Diffusion. 1571-1589 - Joe Coyle, Peter Monk:
Scattering of Time-Harmonic Electromagnetic Waves by Anisotropic Inhomogeneous Scatterers or Impenetrable Obstacles. 1590-1617 - Paul Houston, Christoph Schwab, Endre Süli:
Stabilized hp-Finite Element Methods for First-Order Hyperbolic Problems. 1618-1643 - Marie Noëlle Le Roux:
Numerical Solution of Nonlinear Reaction Diffusion Processes. 1644-1656 - Barbara I. Wohlmuth, Andrea Toselli, Olof B. Widlund:
An Iterative Substructuring Method for Raviart-Thomas Vector Fields in Three Dimensions. 1657-1676 - Denis Zorin:
A Method for Analysis of C1 -Continuity of Subdivision Surfaces. 1677-1708 - Xiao-Chuan Cai, Tarek P. Mathew, Marcus V. Sarkis:
Maximum Norm Analysis of Overlapping Nonmatching Grid Discretizations of Elliptic Equations. 1709-1728 - Avram Sidi:
The Richardson Extrapolation Process with a Harmonic Sequence of Collocation Points. 1729-1746
Volume 37, Number 6, 2000
- X. Q. Liu, C. W. Li:
Weak Approximations and Extrapolations of Stochastic Differential Equations with Jumps. 1747-1767 - Christoph Gauger, Peter Leinen, Harry Yserentant:
The Finite Mass Method. 1768-1799 - Sergej Rjasanow, Wolfgang Wagner:
A Temperature Time Counter Scheme for the Boltzmann Equation. 1800-1819 - Salim Meddahi, María González, Pablo Pérez:
On a FEM-BEM Formulation for an Exterior Quasilinear Problem in the Plane. 1820-1837 - Steinar Evje, Kenneth Hvistendahl Karlsen:
Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations. 1838-1860 - Ning Ju:
Numerical Analysis of Parabolic p-Laplacian: Approximation of Trajectories. 1861-1884 - Barbara Kaltenbacher:
A Projection-Regularized Newton Method for Nonlinear Ill-Posed Problems and Its Application to Parameter Identification Problems with Finite Element Discretization. 1885-1908 - Andreas Rieder, Thomas Schuster:
The Approximate Inverse in Action with an Application to Computerized Tomography. 1909-1929 - Xiao-Liang Cheng:
On the Nonlinear Inexact Uzawa Algorithm for Saddle-Point Problems. 1930-1934 - Thierry Gallouët, Raphaèle Herbin, Marie Hélène Vignal:
Error Estimates on the Approximate Finite Volume Solution of Convection Diffusion Equations with General Boundary Conditions. 1935-1972 - Denise Aregba-Driollet, Roberto Natalini:
Discrete Kinetic Schemes for Multidimensional Systems of Conservation Laws. 1973-2004 - T. Tachim Medjo:
Numerical Simulations of a Two-Layer Quasi-Geostrophic Equation of the Ocean. 2005-2022 - Philippe G. LeFloch, Christian Rohde:
High-Order Schemes, Entropy Inequalities, and Nonclassical Shocks. 2023-2060 - Carsten Carstensen, Petr Plechác:
Numerical Analysis of Compatible Phase Transitions in Elastic Solids. 2061-2081 - Salim Meddahi, Francisco-Javier Sayas:
A Fully Discrete BEM-FEM for the Exterior Stokes Problem in the Plane. 2082-2102
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