<LI><A 
    href="http://www.netlib.org/utk/lsi/pcwLSI/text/node140.html#SECTION00940000000000000000" 
    name=tex2html2017>7.4 Statistical Gravitational Lensing</A> 
    <LI><A 
    href="http://www.netlib.org/utk/lsi/pcwLSI/text/node141.html#SECTION00950000000000000000" 
    name=tex2html2018>7.5 Parallel Random Number Generators</A> 
    <LI><A 
    href="http://www.netlib.org/utk/lsi/pcwLSI/text/node142.html#SECTION00960000000000000000" 
    name=tex2html2019>Parallel Computing in Neurobiology: The GENESIS 
    Project</A> 
    <UL>
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node143.html#SECTION00961000000000000000" 
      name=tex2html2020>7.6.1 What Is Computational Neurobiology?</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node144.html#SECTION00962000000000000000" 
      name=tex2html2021>7.6.2 Parallel Computers?</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node145.html#SECTION00963000000000000000" 
      name=tex2html2022>7.6.3 Problems with Most Present Day Parallel 
      Computers</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node146.html#SECTION00964000000000000000" 
      name=tex2html2023>7.6.4 What is GENESIS?</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node147.html#SECTION00965000000000000000" 
      name=tex2html2024>7.6.5 Task Farming</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node148.html#SECTION00966000000000000000" 
      name=tex2html2025>7.6.6 Distributed Modelling via the Postmaster 
      Element</A> </LI></UL></LI></UL>
  <LI><A 
  href="http://www.netlib.org/utk/lsi/pcwLSI/text/node149.html#SECTION001000000000000000000" 
  name=tex2html2026>8 Full Matrix Algorithms and Their Applications</A> 
  <UL>
    <LI><A 
    href="http://www.netlib.org/utk/lsi/pcwLSI/text/node150.html#SECTION001010000000000000000" 
    name=tex2html2027>8.1 Full and Banded Matrix Algorithms</A> 
    <UL>
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node151.html#SECTION001011000000000000000" 
      name=tex2html2028>8.1.1 Matrix Decomposition</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node152.html#SECTION001012000000000000000" 
      name=tex2html2029>8.1.2 Basic Matrix Arithmetic</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node153.html#SECTION001013000000000000000" 
      name=tex2html2030>8.1.3 Matrix Multiplication for Banded Matrices</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node154.html#SECTION001014000000000000000" 
      name=tex2html2031>8.1.4 Systems of Linear Equations</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node155.html#SECTION001015000000000000000" 
      name=tex2html2032>8.1.5 The Gauss-Jordan Method</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node156.html#SECTION001016000000000000000" 
      name=tex2html2033>8.1.6 Other Matrix Algorithms</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node157.html#SECTION001017000000000000000" 
      name=tex2html2034>8.1.7 Concurrent Linear Algebra Libraries</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node158.html#SECTION001018000000000000000" 
      name=tex2html2035>8.1.8 Problem Structure</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node159.html#SECTION001019000000000000000" 
      name=tex2html2036>8.1.9 Conclusions</A> </LI></UL>
    <LI><A 
    href="http://www.netlib.org/utk/lsi/pcwLSI/text/node160.html#SECTION001020000000000000000" 
    name=tex2html2037>8.2 Quantum Mechanical Reactive ScatteringUsing a 
    High-Performance ParallelComputer</A> 
    <UL>
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node161.html#SECTION001021000000000000000" 
      name=tex2html2038>8.2.1 Introduction</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node162.html#SECTION001022000000000000000" 
      name=tex2html2039>8.2.2 Methodology</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node163.html#SECTION001023000000000000000" 
      name=tex2html2040>8.2.3 Parallel Algorithm</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node164.html#SECTION001024000000000000000" 
      name=tex2html2041>8.2.4 Results and Discussion</A> </LI></UL>
    <LI><A 
    href="http://www.netlib.org/utk/lsi/pcwLSI/text/node165.html#SECTION001030000000000000000" 
    name=tex2html2042>8.3 Studies of Electron-Molecule Collisions 
    onDistributed-Memory Parallel Computers</A> 
    <UL>
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node166.html#SECTION001031000000000000000" 
      name=tex2html2043>8.3.1 Introduction</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node167.html#SECTION001032000000000000000" 
      name=tex2html2044>8.3.2 The SMC Method and Its Implementation</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node168.html#SECTION001033000000000000000" 
      name=tex2html2045>8.3.3 Parallel Implementation</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node169.html#SECTION001034000000000000000" 
      name=tex2html2046>8.3.4 Performance</A> 
      <UL>
        <LI><A 
        href="http://www.netlib.org/utk/lsi/pcwLSI/text/node170.html#SECTION001034100000000000000" 
        name=tex2html2047>Mark IIIfp</A> 
        <LI><A 
        href="http://www.netlib.org/utk/lsi/pcwLSI/text/node171.html#SECTION001034200000000000000" 
        name=tex2html2048>Intel Machines</A> </LI></UL>
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node172.html#SECTION001035000000000000000" 
      name=tex2html2049>8.3.5 Selected Results</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node173.html#SECTION001036000000000000000" 
      name=tex2html2050>8.3.6 Conclusion</A> </LI></UL></LI></UL>
  <LI><A 
  href="http://www.netlib.org/utk/lsi/pcwLSI/text/node174.html#SECTION001100000000000000000" 
  name=tex2html2051>9 Loosely Synchronous Problems</A> 
  <UL>
    <LI><A 
    href="http://www.netlib.org/utk/lsi/pcwLSI/text/node175.html#SECTION001110000000000000000" 
    name=tex2html2052>9.1 Problem Structure</A> 
    <LI><A 
    href="http://www.netlib.org/utk/lsi/pcwLSI/text/node176.html#SECTION001120000000000000000" 
    name=tex2html2053>9.2 Geomorphology by Micromechanical Simulations</A> 
    <LI><A 
    href="http://www.netlib.org/utk/lsi/pcwLSI/text/node177.html#SECTION001130000000000000000" 
    name=tex2html2054>9.3 Plasma Particle-in-Cell Simulation of anElectron Beam 
    Plasma Instability</A> 
    <UL>
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node178.html#SECTION001131000000000000000" 
      name=tex2html2055>9.3.1 Introduction</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node179.html#SECTION001132000000000000000" 
      name=tex2html2056>9.3.2 GCPIC Algorithm</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node180.html#SECTION001133000000000000000" 
      name=tex2html2057>9.3.3 Electron Beam Plasma Instability</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node181.html#SECTION001134000000000000000" 
      name=tex2html2058>Performance Results for One-DimensionalElectrostatic 
      Code</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node182.html#SECTION001135000000000000000" 
      name=tex2html2059>9.3.5 One-Dimensional Electromagnetic Code </A>
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node183.html#SECTION001136000000000000000" 
      name=tex2html2060>9.3.6 Dynamic Load Balancing</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node184.html#SECTION001137000000000000000" 
      name=tex2html2061>9.3.7 Summary</A> </LI></UL>
    <LI><A 
    href="http://www.netlib.org/utk/lsi/pcwLSI/text/node185.html#SECTION001140000000000000000" 
    name=tex2html2062>9.4 Computational Electromagnetics</A> 
    <LI><A 
    href="http://www.netlib.org/utk/lsi/pcwLSI/text/node186.html#SECTION001150000000000000000" 
    name=tex2html2063>9.5 LU Factorization of Sparse, Unsymmetric Jacobian 
    Matrices</A> 
    <UL>
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node187.html#SECTION001151000000000000000" 
      name=tex2html2064>9.5.1 Introduction</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node188.html#SECTION001152000000000000000" 
      name=tex2html2065>9.5.2 Design Overview</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node189.html#SECTION001153000000000000000" 
      name=tex2html2066>9.5.3 Reduced-Communication Pivoting</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node190.html#SECTION001154000000000000000" 
      name=tex2html2067>9.5.4 New Data Distributions</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node191.html#SECTION001155000000000000000" 
      name=tex2html2068>9.5.5 Performance Versus Scattering</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node192.html#SECTION001156000000000000000" 
      name=tex2html2069>9.5.6 Performance</A> 
      <UL>
        <LI><A 
        href="http://www.netlib.org/utk/lsi/pcwLSI/text/node193.html#SECTION001156100000000000000" 
        name=tex2html2070>Order 13040 Example</A> 
        <LI><A 
        href="http://www.netlib.org/utk/lsi/pcwLSI/text/node194.html#SECTION001156200000000000000" 
        name=tex2html2071>Order 2500 Example</A> </LI></UL>
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node195.html#SECTION001157000000000000000" 
      name=tex2html2072>9.5.7 Conclusions</A> </LI></UL>
    <LI><A 
    href="http://www.netlib.org/utk/lsi/pcwLSI/text/node196.html#SECTION001160000000000000000" 
    name=tex2html2073>9.6 Concurrent DASSL Applied to Dynamic Distillation 
    Column Simulation</A> 
    <UL>
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node197.html#SECTION001161000000000000000" 
      name=tex2html2074>9.6.1 Introduction</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node198.html#SECTION001162000000000000000" 
      name=tex2html2075>9.6.2 Mathematical Formulation</A> 
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node199.html#SECTION001163000000000000000" 
      name=tex2html2076>9.6.3 proto-Cdyn - Simulation Layer</A> 
      <UL>
        <LI><A 
        href="http://www.netlib.org/utk/lsi/pcwLSI/text/node200.html#SECTION001163100000000000000" 
        name=tex2html2077>Template Structure</A> 
        <LI><A 
        href="http://www.netlib.org/utk/lsi/pcwLSI/text/node201.html#SECTION001163200000000000000" 
        name=tex2html2078>Problem Preformulation</A> </LI></UL>
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node202.html#SECTION001164000000000000000" 
      name=tex2html2079>9.6.4 Concurrent Formulation</A> 
      <UL>
        <LI><A 
        href="http://www.netlib.org/utk/lsi/pcwLSI/text/node203.html#SECTION001164100000000000000" 
        name=tex2html2080>Overview</A> 
        <LI><A 
        href="http://www.netlib.org/utk/lsi/pcwLSI/text/node204.html#SECTION001164200000000000000" 
        name=tex2html2081>Single Integration Step</A> 
        <UL>
          <LI><A 
          href="http://www.netlib.org/utk/lsi/pcwLSI/text/node205.html#SECTION001164210000000000000" 
          name=tex2html2082>The Integration Computations</A> 
          <LI><A 
          href="http://www.netlib.org/utk/lsi/pcwLSI/text/node206.html#SECTION001164220000000000000" 
          name=tex2html2083>Single Residuals</A> 
          <LI><A 
          href="http://www.netlib.org/utk/lsi/pcwLSI/text/node207.html#SECTION001164230000000000000" 
          name=tex2html2084>Jacobian Computation</A> 
          <LI><A 
          href="http://www.netlib.org/utk/lsi/pcwLSI/text/node208.html#SECTION001164240000000000000" 
          name=tex2html2085>Exploitation of Latency</A> 
          <LI><A 
          href="http://www.netlib.org/utk/lsi/pcwLSI/text/node209.html#SECTION001164250000000000000" 
          name=tex2html2086>The LU Factorization</A> 
          <LI><A 
          href="http://www.netlib.org/utk/lsi/pcwLSI/text/node210.html#SECTION001164260000000000000" 
          name=tex2html2087>Forward- and Back-solving Steps</A> 
          <LI><A 
          href="http://www.netlib.org/utk/lsi/pcwLSI/text/node211.html#SECTION001164270000000000000" 
          name=tex2html2088>Residual Communication</A> </LI></UL></LI></UL>
      <LI><A 
      href="http://www.netlib.org/utk/lsi/pcwLSI/text/node212.html#SECTION001165000000000000000" 
      name=tex2html2089>9.6.5 Chemical Engineering Example</A>