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Part I: Basic Theory", journal = "SIAM Journal on Numerical Analysis", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-164247464", id = "record", issn = "0036-1429", doi = "10.1137/0728086", volume = "28" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-092411747, title = "The Dynamics of the Theta Method", journal = "SIAM Journal on Scientific and Statistical Computing", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-092411747", id = "record", issn = "0196-5204", doi = "10.1137/0912074", volume = "12" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-104202241, title = "A Mathematical Model for the Diffusion of Tumour Angiogenesis Factor into the Surrounding Host Tissue", journal = "Mathematical Medicine and Biology", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-104202241", id = "record", issn = "1477-8599", doi = "10.1093/imammb/8.3.191", volume = "8" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-144801379, title = "Singular Limits in Free Boundary Problems", journal = "Rocky Mountain Journal of Mathematics", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-144801379", id = "record", issn = "0035-7596", doi = "10.1216/rmjm/1181072969", volume = "21" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-101245620, title = "On the computation of blow-up", journal = "European Journal of Applied Mathematics", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-101245620", id = "record", issn = "0956-7925", doi = "10.1017/S095679250000005X", volume = "1" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-083455306, title = "Linear Instability Implies Spurious Periodic Solutions", journal = "IMA Journal of Numerical Analysis", year = "1989", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-083455306", id = "record", issn = "0272-4979", doi = "10.1093/imanum/9.4.465", volume = "9" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-075253765, title = "Nonlinear Instability in Dissipative Finite Difference Schemes", journal = "SIAM Review", year = "1989", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-075253765", id = "record", issn = "0036-1445", doi = "10.1137/1031048", volume = "31" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-090547094, title = "A Model for Porous-Medium Combustion", journal = "Quarterly Journal of Mechanics and Applied Mathematics", year = "1989", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-090547094", id = "record", issn = "0033-5614", doi = "10.1093/qjmam/42.1.159", volume = "42" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-080915333, title = "Singular Free Boundary Problems and Local Bifurcation Theory", journal = "SIAM Journal on Applied Mathematics", year = "1989", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-080915333", id = "record", issn = "0036-1399", doi = "10.1137/0149004", volume = "49" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-135127282, title = "A Note on High/Low-Wave-Number Interactions in Spatially Discrete Parabolic Equations", journal = "IMA Journal of Applied Mathematics", year = "1989", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-135127282", id = "record", issn = "0272-4960", doi = "10.1093/imamat/42.1.27", volume = "42" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-090149803, title = "Similarity Solutions of a Heat Equation with Nonlinearly Varying Heat Capacity", journal = "IMA Journal of Applied Mathematics", year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-090149803", id = "record", issn = "0272-4960", doi = "10.1093/imamat/40.3.217", volume = "40" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-164819129, title = "Travelling Combustion Waves in a Porous Medium. Part II—Stability", journal = "SIAM Journal on Applied Mathematics", year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-164819129", id = "record", issn = "0036-1399", doi = "10.1137/0148019", volume = "48" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-165322289, title = "Travelling Combustion Waves in a Porous Medium. Part I—Existence", journal = "SIAM Journal on Applied Mathematics", year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-165322289", id = "record", issn = "0036-1399", doi = "10.1137/0148007", volume = "48" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-084535886, title = "Parabolic Free Boundary Problems Arising in Porous Medium Combustion", journal = "IMA Journal of Applied Mathematics", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-084535886", id = "record", issn = "0272-4960", doi = "10.1093/imamat/39.3.241", volume = "39" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-142648576, title = "Existence of Solutions of a Two-Point Free-Boundary Problem Arising in the Theory of Porous Medium Combustion", journal = "IMA Journal of Applied Mathematics", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-142648576", id = "record", issn = "0272-4960", doi = "10.1093/imamat/38.1.23", volume = "38" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-135043115, title = "Volterra integral equations and a new Gronwall inequality (Part II: The nonlinear case)", journal = "Proceedings of the Royal Society of Edinburgh: Section A Mathematics", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-135043115", id = "record", issn = "0308-2105", doi = "10.1017/S0308210500018485", volume = "106" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-131130001, title = "Volterra integral equations and a new Gronwall inequality (Part I: The linear case)", journal = "Proceedings of the Royal Society of Edinburgh: Section A Mathematics", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-131130001", id = "record", issn = "0308-2105", doi = "10.1017/S0308210500018473", volume = "106" }